From ac262505c147fcbef734c6f653c22f5e980ae87b Mon Sep 17 00:00:00 2001 From: Tyler Date: Fri, 29 May 2026 12:19:37 -0700 Subject: [PATCH] feat: headless PNG render, mLnL annotations, and per-frame sched offset Commit the accumulated working-tree changes as one snapshot. - Headless render: `--render OUT.png INPUT.wav` draws the spectrogram (full window, or `--pane` for the spectrogram pane only) to a PNG with no visible window. Options: `--annotations`/`--no-annotations`, `--annotation-opacity`, `--width`/`--height`. - mLnL annotations: parse the optional `mLnL` RIFF chunk (schema v2) and render tx_frame/assertion/control overlays, a timeline lane, and a waveform-scope echo, with hover tooltips on the spectrogram, timeline, and scope. - sched_offset_ms: parse the per-frame intent->air latency and surface it in the hover tooltips (boxes stay air-anchored upstream). - Supporting: build wiring (rspektrum.make), shared types/headers, web-build and capture-script tweaks, and removal of the old synchrosqueezing LaTeX doc. Co-Authored-By: Claude Opus 4.8 --- build_web.sh | 2 +- mlnl_chunk_spec.md | 276 ++++++++++ mlnl_samples.wav | Bin 0 -> 2848686 bytes rspektrum.make | 6 + shot_input.sh | 2 +- src/mlnl.c | 387 ++++++++++++++ src/mlnl.h | 98 ++++ src/render.c | 758 ++++++++++++++++++++++++++- src/render.h | 7 + src/spectrogram.c | 508 +++++++++++++++++- src/spectrogram_types.h | 79 ++- src/ui.c | 168 ++++++ src/ui.h | 5 + synchrosqueezing_for_programmers.aux | 5 - synchrosqueezing_for_programmers.out | 0 synchrosqueezing_for_programmers.pdf | Bin 151314 -> 0 bytes synchrosqueezing_for_programmers.tex | 219 -------- 17 files changed, 2263 insertions(+), 257 deletions(-) create mode 100644 mlnl_chunk_spec.md create mode 100644 mlnl_samples.wav create mode 100644 src/mlnl.c create mode 100644 src/mlnl.h delete mode 100644 synchrosqueezing_for_programmers.aux delete mode 100644 synchrosqueezing_for_programmers.out delete mode 100644 synchrosqueezing_for_programmers.pdf delete mode 100644 synchrosqueezing_for_programmers.tex diff --git a/build_web.sh b/build_web.sh index 3b6fb14..a7271db 100755 --- a/build_web.sh +++ b/build_web.sh @@ -55,7 +55,7 @@ fi echo "=== Step 2: Compiling spectrogram modules for web ===" cd "$SCRIPT_DIR" -APP_MODULES="spectrogram fft stft audio render ui utils primitives platform_web" +APP_MODULES="spectrogram fft stft audio render ui utils primitives mlnl platform_web" APP_OPT="-Os" if [ "$BUILD_TYPE" = "debug" ]; then diff --git a/mlnl_chunk_spec.md b/mlnl_chunk_spec.md new file mode 100644 index 0000000..f5d938b --- /dev/null +++ b/mlnl_chunk_spec.md @@ -0,0 +1,276 @@ +# mLnL: mLink-annotated WAV chunk specification (v2) + +A way to ship spectrograph annotations *inside* a regular WAV file so +the file stays standards-compliant audio everywhere while a viewer that +knows the format can render labelled regions (TX bursts, assertion +outcomes, impairment fires, etc.) over the audio's spectrogram. + +**Status**: v2, stable. Producer: `mlink_fake_ota` (see +`src/tools/harness/fota_capture.c` + `fota_events.c`). Consumer: any +tool that walks RIFF chunks and looks for the four-CC `mLnL`. + +--- + +## 1. WAV / RIFF refresher + +A standard WAV file is a RIFF container: + +``` +RIFFWAVE + fmt <16 (uint32 LE)> + data + ... more chunks may follow ... +``` + +Each chunk = 4-byte four-CC ID + 4-byte unsigned little-endian size + +payload of exactly that many bytes + 1 pad byte if the size is odd. Per +the RIFF specification, a reader MUST skip any chunk whose ID it does +not recognise. + +## 2. The mLnL chunk + +``` +mLnL(+ 1 pad if size odd) +``` + +ID: ASCII `mLnL` (= bytes `0x6D 0x4C 0x6E 0x4C`). + +Payload: UTF-8 JSON Lines. One JSON object per line, terminated by +`\n`. Lines are emitted in chronological order of `t_start`. + +A truncation marker may appear as the **last** line: + +``` +{"truncated":true} +``` + +This means the producer's in-memory buffer overflowed and some events +were dropped. + +## 3. Reading the chunk + +```python +def read_mlnl(path): + with open(path, 'rb') as f: + data = f.read() + if data[:4] != b'RIFF' or data[8:12] != b'WAVE': + return None + i = 12 + while i + 8 <= len(data): + cid = data[i:i+4] + sz = int.from_bytes(data[i+4:i+8], 'little') + if cid == b'mLnL': + return data[i+8 : i+8+sz].decode('utf-8').splitlines() + i += 8 + sz + (sz & 1) + return None +``` + +## 4. Event schema (v2) + +**Every** event is a single JSON object with these REQUIRED fields: + +| field | type | meaning | +|----------|--------|---------| +| `t_start`| number | start of the event's time range, seconds since channel start | +| `t_end` | number | end of the event's time range, seconds; == t_start for instantaneous | +| `kind` | string | event kind (see §4.2) | + +### 4.1 Optional fields available on any kind + +| field | type | meaning | +|------------|--------|---------| +| `f_lo` | number | low edge of frequency annotation (Hz) | +| `f_hi` | number | high edge of frequency annotation (Hz) | +| `f_center` | number | center frequency (Hz); alternative to `f_lo`/`f_hi` | +| `f_bw` | number | bandwidth around `f_center` (Hz); paired with `f_center` | +| `note` | string | free-form human-readable label (the "why this is here" line) | +| `color` | string | suggested fill or outline colour, `#RRGGBB` | + +A consumer should accept EITHER `f_lo`+`f_hi` OR `f_center`+`f_bw` (or +both -- prefer `f_lo`/`f_hi` if both are present). Events with no +frequency fields apply to the whole spectrum. + +### 4.2 Kinds emitted by mlink_fake_ota today + +**`tx_frame` is the primary annotation** — ONE per on-air air-frame, +sourced from the *transmitting daemon's own per-frame log event* (its +self-report, forwarded to the channel over the logging egress), NOT guessed +from the mixed audio. A whole transmission renders as its real labelled +sequence of boxes: e.g. PRESENCE + RTS in an announce channel, then N bulk +OFDM frames in the bulk band, each tagged with its LDPC rate. + +``` +tx_frame t_start = frame key-down, t_end = key-up, placed at the + ACTUAL on-air anchor + the frame's sample offset (NOT the + modem's render/intent time -- see note below) + fields: + node u32 transmitting node_id (attribution + color) + seq int 0-based index of this frame within the PTT + n int total frames in this PTT -> "seq of n" + frame str mLink frame name (vocabulary below) + ch str daemon channel: EMERGENCY / ANNOUNCE_0|1|2 / + BULK (the region the frame occupies) + rate str? LDPC rate of a bulk OFDM frame + ("1/2","2/3","3/4","5/6"); absent on announce + f_lo num low edge of `ch`'s band (Hz; see §4.4) + f_hi num high edge of `ch`'s band (Hz) + sched_offset_ms num intent->air latency of this burst: + (on-air rising edge) - (modem render time). + A "modem wants vs actually does" metric; + coarse (block-quantized, multi-stage). + color str #RRGGBB, stable per node + note str pre-formatted "node N [rate]" + +control t_start == t_end ; one channel control verb dispatched + fields: command, req_id? +assertion_passed t_start = watch start, t_end = match observation + fields: name, slack_s, note, color (green default + #3CB371), f_lo?, f_hi? +assertion_failed t_start = watch start, t_end = watch deadline + fields: name, reason, note, color (red default + #D62828), f_lo?, f_hi? +``` + +**`frame` vocabulary** (announce family/subtype + bulk; render verbatim): +`PRESENCE/AUTO`, `PRESENCE/OPERATOR`, `PRESENCE/GEOPOLL`, +`PRESENCE/GEOPOLL_RESP`, `PRESENCE/SEED`, `PRESENCE/SEED_ACK`, `BULK/RTS`, +`BULK/ACK`, `BULK/DNAK`, `BULK/SBSERIES`, `BULK/SBRTS`, `BULK/RETX_RTS`, +`BULK/SB_RETX_RTS`, `BULK/INET_REQ`, `BULK` (one OFDM data frame), +`SHORTBURST` (one strung-announce data frame), `RELAY`, `APRS`. New names +appear as the protocol grows — treat `frame` as a free-form short string. + +**REMOVED — `tx_burst`** (energy-detected): the channel's old *guess* at "a +station keyed, roughly narrow or wide," from mixed-audio energy + an HF ratio + +manual `tag_next_burst` labels. Replaced by `tx_frame` (the daemon knows exactly +what it keyed) and no longer emitted; `tag_next_burst` is gone too. A pre-2026- +05-28 wav may still contain `tx_burst`; treat it as opaque/legacy. + +**On-air anchoring (why `sched_offset_ms` exists).** The daemon emits its +`tx_frame` log when it *renders* a transmission (its intent), but the audio only +reaches the air after the keying/buffering pipeline. The producer buffers each +node's frames as the logs arrive (intent time) and places them only once the +node's *actual* on-air energy rising edge is observed (air time) -- so the boxes +land on the real signal. `sched_offset_ms = air_time - intent_time` is that gap, +reported per burst. It's a useful "modem wants vs actually does" metric but +coarse (block-quantized; conflates render/queue/buffer/transit), so read it as +an indicator, not a precise stopwatch. + +`channel_up` / `channel_down` are not emitted: the wav itself bounds the +session (first/last sample == up/down edge). + +Future kinds reserved (not all emitted yet): + +``` +rx_event a receiver's decode/deliver outcome + ({ node, from, snr_db, frame|kind, ... }) +impairment_fire { name, ... } +``` + +Consumers should ignore unknown kinds gracefully. + +### 4.3 Field conventions + +- `node` is a 32-bit unsigned integer (the registered node_id). +- Frequencies are in Hz, durations in seconds, amplitudes in + channel-internal units roughly [-1, +1] before auto-gain. +- `command` matches the verbs in `tools/harness/fota_control.h`. +- `name` (for assertions) should ideally read as a hypothesis like + `IF SEED THEN B SEED_ACK WITHIN 4s` -- the renderer uses it as the + region label. + +### 4.4 Channel -> spectral band + +`tx_frame` carries both the daemon channel name (`ch`) and the resolved +band (`f_lo`/`f_hi`). The mapping (mLink's finalized spectrum allocation): + +| `ch` | band (Hz) | mode / center | +|--------------|---------------|----------------------| +| `EMERGENCY` | 125 .. 175 | NB8FSK, 150 Hz | +| `ANNOUNCE_0` | 265 .. 535 | QPSK, 400 Hz | +| `ANNOUNCE_1` | 665 .. 935 | QPSK, 800 Hz | +| `ANNOUNCE_2` | 1065 .. 1335 | QPSK, 1200 Hz | +| `BULK` | 1594 .. 2906 | OFDM, 2250 Hz center | + +The three announce channels are ~270 Hz wide and non-overlapping, so a +PRESENCE/RTS box and the bulk blob of the same transmission land in clearly +separate horizontal lanes. A renderer can trust `f_lo`/`f_hi` directly or +re-derive from `ch` via this table. + +## 5. Rendering tips for a spectrograph + +- Time axis: `t_start` and `t_end` map directly to the wav's time axis + (sample N = t * sample_rate). Draw the annotation as a horizontal + span over [t_start, t_end]. +- Frequency axis: if the event has `f_lo`/`f_hi`, render as a rectangle + spanning [t_start, t_end] x [f_lo, f_hi]. If only `f_center`/`f_bw`, + use [f_center - f_bw/2, f_center + f_bw/2]. If neither, span the + full frequency axis. +- For `tx_frame` (the main case): render a filled / translucent box over + [t_start, t_end] x [f_lo, f_hi] in the frame's `color`; label it with + `frame` (or the pre-formatted `note`). Because each frame carries its own + exact band, consecutive frames of one transmission draw as a readable + sequence -- a narrow PRESENCE then RTS in an announce lane, then the bulk + frames stacked in the bulk lane. Use `seq`/`n` to show position + ("3/6") and `rate` to annotate the LDPC ramp on bulk frames. +- For `assertion_passed`: thin outlined rectangle in green (use `color` + field if present, else `#3CB371`); label with `note`. +- For `assertion_failed`: thin outlined rectangle in red (or `color`); + label with `note`. This is the "we were expecting something here + and it never arrived" overlay -- visually distinguishing it from + passes is the point. +- For `control`: vertical markers at `t_start` (zero-width). +- Per-node colors are stable across the run (the producer cycles a + built-in palette by node_id); consumers may honour them or override + with their own per-node scheme. +- Layer order: `tx_frame` (background fill) -> assertion outcomes (mid- + layer outlines) -> `control` markers (top). Keep opacity moderate so + overlapping annotations stay legible. +- `tx_burst` is no longer emitted (removed). Only a legacy pre-2026-05-28 wav + carries it; render `tx_frame` and ignore `tx_burst` if present. + +## 6. Producer responsibilities + +1. Write `fmt ` + `data` chunks first in standard form (file plays as + plain audio for any tool). +2. Append `mLnL` after `data` with the JSONL bytes. +3. Patch the outer RIFF size at file offset 4 to `file_size - 8`. +4. Pad to even byte boundary if needed (single `\0` byte; not counted + in the chunk size field). +5. Emit JSONL in monotonic `t_start` order. +6. Each line is a single JSON object terminated by `\n` -- no + multi-line objects, no trailing commas. + +## 7. Consumer responsibilities + +- Treat any unknown chunk ID as opaque -- skip it per RIFF rules. +- Walk chunks from the start; don't assume `mLnL` is at a fixed offset. +- Handle a `{"truncated":true}` last-line case as a status flag. +- Tolerate unknown fields and unknown `kind` values. + +## 8. Version + compatibility + +The chunk ID `mLnL` corresponds to schema v2 (this document). v1 (now +deprecated) used `{t_s, kind, ...}` with paired `*_start`/`*_stop` +events; v2 collapses pairs into ranges with `t_start`/`t_end` and adds +the frequency / note / color fields. Within v2: `tx_frame` (the +daemon-sourced per-frame kind, with `node/seq/n/frame/ch/rate/f_lo/f_hi/ +sched_offset_ms/color/note`) was added 2026-05-28 and is the primary +annotation, anchored on the actual on-air edge; the energy-detected +`tx_burst` and the `tag_next_burst` verb were removed in its favour. +Consumers MUST tolerate both presence and absence of all optional fields +and unknown `kind`s. + +If we need an incompatible schema change later, we'll mint a new +four-CC (`mLn3` etc.) and keep `mLnL` reserved for v2. + +## 9. References + +- mLink producer source: `src/tools/harness/fota_capture.c` + (`append_riff_chunk` + `fota_capture_write_wav_with_annotations`) +- Event emitter: `src/tools/harness/fota_events.{c,h}` +- `tx_frame` ingest (forwarded-log -> annotation): the FOTA_MSG_LOG handler + + `ingest_log_event` in `src/tools/harness/mlink_fake_ota.c`; the daemon + side emits `tx_frame` in `src/protocol/tx_render.c`. +- Assertion engine: `src/tools/harness/fota_assert.{c,h}` +- RIFF specification: Microsoft Multimedia Programming Interface and + Data Specifications 1.0 (1991). diff --git a/mlnl_samples.wav b/mlnl_samples.wav new file mode 100644 index 0000000000000000000000000000000000000000..ac5a6fd458f880d877c5563857e181aa6efc588e GIT binary patch literal 2848686 zcmeF&b$A+C+c^FioRC0>5<;**65?qpsif}iy4`NwyLH)aW$U)>*4^D@yLESo3j_$3 z03kwv5M1Uv*}S>hXWxC^zkk2$I&-cTIcLs&=96$UkhzEV>)rd(iX>=Ex6!?3%wNh4 zh9C$=n>rPOUQL7`3=|Aao4j-~G%X430UHni0zd!=00AHX1b_e#00KY&2mk>f00e*l 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z{^50Cs;3`)_{Z6KbQ%pO)vx7jX+Ai4`6f(aW*wm|j08-dnUdYz{Tr8No9$D^l}y6^q1TGr=PH?6`!tcr%w==|hObTyqt zbpfx>N1sDsU!O8I{WVMCqzEhr^w+14)5w?=p%vxfab1V(hXX_2--O(&>dmejH1^Iw zoAP?Ms@LbTWmV6&MZJG-O%Lhgu+KO7AM3iCF`MB+n4$;;U=^;@j+3+qVIL~#>u}4G zz7uXyWM74~3lW+%{o9Ayj@1a$NkYHvZ~Jd2joW!$bRP<{?oZ)o^YPl89ye-tL+#Y{ z$NO*E4l~(VtKZjt>p1=Pw*7|py{tZNJQnYn+V6p>7K>H)`sP}Nv(jSn>y6islind= zp0E2pAyu!u@!yd&;NteiDb)_?2BL z4`F)6w$g?7MN${`hbrAV-2Gi?`O&=Dl)inYMV+gMYSg)KdRQKbR_oMTzh6b!ez3h7 zj&F9q&RYm2^@N@X)DEf6gzn*@XN4LXypxIfoS9w~bMYyv1 ShUoRl4{wj7ubIwo-~SKo=TLzF literal 0 HcmV?d00001 diff --git a/rspektrum.make b/rspektrum.make index a3491e2..7c9b33e 100644 --- a/rspektrum.make +++ b/rspektrum.make @@ -127,6 +127,7 @@ GENERATED += $(OBJDIR)/ui.o GENERATED += $(OBJDIR)/platform_linux.o GENERATED += $(OBJDIR)/utils.o GENERATED += $(OBJDIR)/primitives.o +GENERATED += $(OBJDIR)/mlnl.o OBJECTS += $(OBJDIR)/spectrogram.o OBJECTS += $(OBJDIR)/fft.o OBJECTS += $(OBJDIR)/stft.o @@ -136,6 +137,7 @@ OBJECTS += $(OBJDIR)/ui.o OBJECTS += $(OBJDIR)/platform_linux.o OBJECTS += $(OBJDIR)/utils.o OBJECTS += $(OBJDIR)/primitives.o +OBJECTS += $(OBJDIR)/mlnl.o # Rules # ############################################# @@ -235,6 +237,10 @@ $(OBJDIR)/primitives.o: src/primitives.c @echo "$(notdir $<)" $(SILENT) $(CC) $(ALL_CFLAGS) $(FORCE_INCLUDE) -o "$@" -MF "$(@:%.o=%.d)" -c "$<" +$(OBJDIR)/mlnl.o: src/mlnl.c + @echo "$(notdir $<)" + $(SILENT) $(CC) $(ALL_CFLAGS) $(FORCE_INCLUDE) -o "$@" -MF "$(@:%.o=%.d)" -c "$<" + -include $(OBJECTS:%.o=%.d) ifneq (,$(PCH)) -include $(PCH_PLACEHOLDER).d diff --git a/shot_input.sh b/shot_input.sh index 8808ec2..96d76ac 100755 --- a/shot_input.sh +++ b/shot_input.sh @@ -25,7 +25,7 @@ # a selection box needs a >5 px drag or it reverts to "no selection". set -u OUT="${1:-/tmp/rspek_shot.png}"; shift || true -REPO=/home/tyler/ham/Audio-Experiments/rspektrum +REPO="$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)" DISP=:99 WAV="${RSPEK_WAV:-/tmp/mlink_bulk_drop.wav}" diff --git a/src/mlnl.c b/src/mlnl.c new file mode 100644 index 0000000..f76e158 --- /dev/null +++ b/src/mlnl.c @@ -0,0 +1,387 @@ +// mlnl.c - parse the optional `mLnL` RIFF chunk from a WAV file (schema v2). +// Payload is UTF-8 JSON Lines, one flat object per line. +#include "mlnl.h" + +#include +#include +#include +#include + +// ============================================================================ +// RIFF walker — find the `mLnL` chunk payload. +// ============================================================================ + +static unsigned int ReadU32LE(const unsigned char* p) +{ + return (unsigned int)p[0] | ((unsigned int)p[1] << 8) | + ((unsigned int)p[2] << 16) | ((unsigned int)p[3] << 24); +} + +// Returns a malloc'd payload buffer (NUL-terminated for splitline convenience) +// and sets *outLen. NULL if the file isn't WAV or has no mLnL chunk. +static char* FindMlnlChunk(const char* path, size_t* outLen) +{ + FILE* f = fopen(path, "rb"); + if (!f) return NULL; + + unsigned char hdr[12]; + if (fread(hdr, 1, 12, f) != 12) { fclose(f); return NULL; } + if (memcmp(hdr, "RIFF", 4) != 0 || memcmp(hdr + 8, "WAVE", 4) != 0) { + fclose(f); return NULL; + } + + for (;;) { + unsigned char ch[8]; + size_t got = fread(ch, 1, 8, f); + if (got != 8) break; + unsigned int sz = ReadU32LE(ch + 4); + if (memcmp(ch, "mLnL", 4) == 0) { + // Cap at 64 MiB to avoid a corrupt size eating memory. + if (sz > 64u * 1024u * 1024u) { fclose(f); return NULL; } + char* buf = (char*)malloc((size_t)sz + 1); + if (!buf) { fclose(f); return NULL; } + if (fread(buf, 1, sz, f) != sz) { free(buf); fclose(f); return NULL; } + buf[sz] = '\0'; + *outLen = sz; + fclose(f); + return buf; + } + // Skip the payload (+ 1 pad byte if size is odd). + long skip = (long)sz + (long)(sz & 1u); + if (fseek(f, skip, SEEK_CUR) != 0) break; + } + fclose(f); + return NULL; +} + +// ============================================================================ +// Tiny JSON-object-per-line parser. Flat objects with scalar values. +// Nested objects/arrays in unknown fields are tolerated by being skipped. +// ============================================================================ + +typedef struct { + const char* s; + int pos; + int len; +} Scanner; + +static void SkipWs(Scanner* sc) +{ + while (sc->pos < sc->len && (sc->s[sc->pos] == ' ' || sc->s[sc->pos] == '\t')) sc->pos++; +} + +static bool ReadString(Scanner* sc, char* out, int outCap) +{ + if (sc->pos >= sc->len || sc->s[sc->pos] != '"') return false; + sc->pos++; + int w = 0; + while (sc->pos < sc->len && sc->s[sc->pos] != '"') { + char c = sc->s[sc->pos++]; + if (c == '\\' && sc->pos < sc->len) { + char e = sc->s[sc->pos++]; + switch (e) { + case 'n': c = '\n'; break; + case 't': c = '\t'; break; + case 'r': c = '\r'; break; + case '"': case '\\': case '/': c = e; break; + case 'u': { + // Bare ASCII passthrough — drop the 4 hex digits, write '?'. + if (sc->pos + 4 <= sc->len) sc->pos += 4; + c = '?'; + break; + } + default: c = e; break; + } + } + if (w + 1 < outCap) out[w++] = c; + } + if (sc->pos >= sc->len) return false; + sc->pos++; // consume closing quote + if (w < outCap) out[w] = '\0'; + else if (outCap > 0) out[outCap - 1] = '\0'; + return true; +} + +static void SkipValue(Scanner* sc) +{ + SkipWs(sc); + if (sc->pos >= sc->len) return; + char c = sc->s[sc->pos]; + if (c == '"') { + char trash[4]; + ReadString(sc, trash, sizeof(trash)); + return; + } + if (c == '{' || c == '[') { + char open = c, close = (c == '{') ? '}' : ']'; + int depth = 1; + sc->pos++; + while (sc->pos < sc->len && depth > 0) { + char k = sc->s[sc->pos]; + if (k == '"') { + char trash[4]; + ReadString(sc, trash, sizeof(trash)); + continue; + } + if (k == open) depth++; + else if (k == close) depth--; + sc->pos++; + } + return; + } + while (sc->pos < sc->len) { + char k = sc->s[sc->pos]; + if (k == ',' || k == '}' || k == ']') break; + sc->pos++; + } +} + +static bool ReadNumber(Scanner* sc, double* out) +{ + SkipWs(sc); + int start = sc->pos; + if (sc->pos < sc->len && (sc->s[sc->pos] == '-' || sc->s[sc->pos] == '+')) sc->pos++; + bool any = false; + while (sc->pos < sc->len) { + char c = sc->s[sc->pos]; + if ((c >= '0' && c <= '9') || c == '.' || c == 'e' || c == 'E' || c == '+' || c == '-') { + sc->pos++; any = true; + } else break; + } + if (!any) return false; + char tmp[64]; + int n = sc->pos - start; + if (n >= (int)sizeof(tmp)) n = (int)sizeof(tmp) - 1; + memcpy(tmp, sc->s + start, n); + tmp[n] = '\0'; + *out = strtod(tmp, NULL); + return true; +} + +static MlnlKind LookupKind(const char* s) +{ + if (strcmp(s, "channel_up") == 0) return MLNL_KIND_CHANNEL_UP; + if (strcmp(s, "channel_down") == 0) return MLNL_KIND_CHANNEL_DOWN; + if (strcmp(s, "control") == 0) return MLNL_KIND_CONTROL; + if (strcmp(s, "tx_frame") == 0) return MLNL_KIND_TX_FRAME; + if (strcmp(s, "tx_burst") == 0) return MLNL_KIND_TX_BURST; + if (strcmp(s, "assertion_passed") == 0) return MLNL_KIND_ASSERTION_PASSED; + if (strcmp(s, "assertion_failed") == 0) return MLNL_KIND_ASSERTION_FAILED; + if (strcmp(s, "impairment_fire") == 0) return MLNL_KIND_IMPAIRMENT_FIRE; + if (strcmp(s, "gain_change") == 0) return MLNL_KIND_GAIN_CHANGE; + return MLNL_KIND_UNKNOWN; +} + +const char* MlnlKindName(MlnlKind k) +{ + switch (k) { + case MLNL_KIND_CHANNEL_UP: return "channel_up"; + case MLNL_KIND_CHANNEL_DOWN: return "channel_down"; + case MLNL_KIND_CONTROL: return "control"; + case MLNL_KIND_TX_FRAME: return "tx_frame"; + case MLNL_KIND_TX_BURST: return "tx_burst"; + case MLNL_KIND_ASSERTION_PASSED: return "assertion_passed"; + case MLNL_KIND_ASSERTION_FAILED: return "assertion_failed"; + case MLNL_KIND_IMPAIRMENT_FIRE: return "impairment_fire"; + case MLNL_KIND_GAIN_CHANGE: return "gain_change"; + default: return "?"; + } +} + +// Parse a "#RRGGBB" string into r/g/b. Returns false on malformed input. +static bool ParseHexColor(const char* s, unsigned char* r, unsigned char* g, unsigned char* b) +{ + if (!s || s[0] != '#') return false; + unsigned int v = 0; + int n = 0; + for (int i = 1; i < 7 && s[i]; i++) { + char c = s[i]; + unsigned int d; + if (c >= '0' && c <= '9') d = c - '0'; + else if (c >= 'a' && c <= 'f') d = c - 'a' + 10; + else if (c >= 'A' && c <= 'F') d = c - 'A' + 10; + else return false; + v = (v << 4) | d; + n++; + } + if (n != 6) return false; + *r = (v >> 16) & 0xff; + *g = (v >> 8) & 0xff; + *b = v & 0xff; + return true; +} + +// Returns true if the line produced an event for the array; false if it was +// the truncation sentinel or empty/malformed. +static bool ParseLine(const char* line, int n, MlnlEvent* ev, bool* truncatedOut) +{ + Scanner sc = { .s = line, .pos = 0, .len = n }; + SkipWs(&sc); + if (sc.pos >= sc.len || sc.s[sc.pos] != '{') return false; + sc.pos++; + + memset(ev, 0, sizeof(*ev)); + + // f_center/f_bw resolve into f_lo/f_hi after the line is fully parsed. + double f_center = 0, f_bw = 0; + bool have_f_lo = false, have_f_hi = false; + bool have_f_center = false, have_f_bw = false; + + for (;;) { + SkipWs(&sc); + if (sc.pos >= sc.len) return false; + if (sc.s[sc.pos] == '}') { sc.pos++; break; } + if (sc.s[sc.pos] == ',') { sc.pos++; continue; } + + char key[32] = {0}; + if (!ReadString(&sc, key, sizeof(key))) return false; + SkipWs(&sc); + if (sc.pos >= sc.len || sc.s[sc.pos] != ':') return false; + sc.pos++; + SkipWs(&sc); + + if (strcmp(key, "t_start") == 0) { + ReadNumber(&sc, &ev->t_start); + } else if (strcmp(key, "t_end") == 0) { + ReadNumber(&sc, &ev->t_end); + } else if (strcmp(key, "kind") == 0) { + ReadString(&sc, ev->kindStr, sizeof(ev->kindStr)); + ev->kind = LookupKind(ev->kindStr); + } else if (strcmp(key, "f_lo") == 0) { + ReadNumber(&sc, &ev->f_lo_hz); have_f_lo = true; + } else if (strcmp(key, "f_hi") == 0) { + ReadNumber(&sc, &ev->f_hi_hz); have_f_hi = true; + } else if (strcmp(key, "f_center") == 0) { + ReadNumber(&sc, &f_center); have_f_center = true; + } else if (strcmp(key, "f_bw") == 0) { + ReadNumber(&sc, &f_bw); have_f_bw = true; + } else if (strcmp(key, "note") == 0) { + ReadString(&sc, ev->note, sizeof(ev->note)); + ev->has_note = true; + } else if (strcmp(key, "color") == 0) { + char hex[16] = {0}; + ReadString(&sc, hex, sizeof(hex)); + if (ParseHexColor(hex, &ev->colorR, &ev->colorG, &ev->colorB)) + ev->has_color = true; + } else if (strcmp(key, "node") == 0) { + double v = 0; + if (ReadNumber(&sc, &v)) { ev->node = (unsigned int)v; ev->has_node = true; } + else SkipValue(&sc); + } else if (strcmp(key, "command") == 0) { + ReadString(&sc, ev->command, sizeof(ev->command)); + ev->has_command = true; + } else if (strcmp(key, "name") == 0) { + ReadString(&sc, ev->name, sizeof(ev->name)); + ev->has_name = true; + } else if (strcmp(key, "reason") == 0) { + ReadString(&sc, ev->reason, sizeof(ev->reason)); + ev->has_reason = true; + } else if (strcmp(key, "peak") == 0) { + ReadNumber(&sc, &ev->peak); ev->has_stats = true; + } else if (strcmp(key, "rms") == 0) { + ReadNumber(&sc, &ev->rms); ev->has_stats = true; + } else if (strcmp(key, "papr_db") == 0) { + ReadNumber(&sc, &ev->papr_db); ev->has_stats = true; + } else if (strcmp(key, "slack_s") == 0) { + ReadNumber(&sc, &ev->slack_s); ev->has_slack = true; + } else if (strcmp(key, "id") == 0) { + double v = 0; + if (ReadNumber(&sc, &v)) { ev->id = (unsigned int)v; ev->has_id = true; } + else SkipValue(&sc); + } else if (strcmp(key, "label") == 0) { + ReadString(&sc, ev->label, sizeof(ev->label)); + ev->has_label = (ev->label[0] != '\0'); + } else if (strcmp(key, "seq") == 0) { + double v = 0; + if (ReadNumber(&sc, &v)) ev->seq = (int)v; + else SkipValue(&sc); + } else if (strcmp(key, "n") == 0) { + double v = 0; + if (ReadNumber(&sc, &v)) { ev->nFrames = (int)v; ev->has_seqn = true; } + else SkipValue(&sc); + } else if (strcmp(key, "frame") == 0) { + ReadString(&sc, ev->frame, sizeof(ev->frame)); + ev->has_frame = (ev->frame[0] != '\0'); + } else if (strcmp(key, "ch") == 0) { + ReadString(&sc, ev->ch, sizeof(ev->ch)); + ev->has_ch = (ev->ch[0] != '\0'); + } else if (strcmp(key, "rate") == 0) { + ReadString(&sc, ev->rate, sizeof(ev->rate)); + ev->has_rate = (ev->rate[0] != '\0'); + } else if (strcmp(key, "sched_offset_ms") == 0) { + if (ReadNumber(&sc, &ev->sched_offset_ms)) ev->has_sched_offset = true; + else SkipValue(&sc); + } else if (strcmp(key, "truncated") == 0) { + if (sc.pos < sc.len && (sc.s[sc.pos] == 't' || sc.s[sc.pos] == 'T')) + *truncatedOut = true; + SkipValue(&sc); + } else { + // Unknown field — swallow scalar/composite alike. + SkipValue(&sc); + } + } + + // Resolve frequency: prefer f_lo/f_hi if present, else expand f_center/f_bw. + if (have_f_lo && have_f_hi) { + ev->has_freq = true; + } else if (have_f_center && have_f_bw) { + ev->f_lo_hz = f_center - f_bw * 0.5; + ev->f_hi_hz = f_center + f_bw * 0.5; + ev->has_freq = true; + } + if (ev->has_freq && ev->f_hi_hz < ev->f_lo_hz) { + double t = ev->f_lo_hz; ev->f_lo_hz = ev->f_hi_hz; ev->f_hi_hz = t; + } + + // The truncation line carries no kind; treat it as a non-event so it + // doesn't bloat the events array (the truncated flag still propagates). + if (ev->kindStr[0] == '\0') return false; + return true; +} + +// ============================================================================ +// Public API +// ============================================================================ + +bool LoadMlnlFromWav(const char* path, MlnlAnnotations* out) +{ + memset(out, 0, sizeof(*out)); + size_t len = 0; + char* payload = FindMlnlChunk(path, &len); + if (!payload) return false; + + int lineCount = 0; + for (size_t i = 0; i < len; i++) if (payload[i] == '\n') lineCount++; + if (lineCount == 0) lineCount = 1; + + out->events = (MlnlEvent*)calloc(lineCount, sizeof(MlnlEvent)); + if (!out->events) { free(payload); return false; } + + int lineStart = 0; + for (size_t i = 0; i <= len; i++) { + if (i == len || payload[i] == '\n') { + int n = (int)i - lineStart; + if (n > 0 && payload[lineStart + n - 1] == '\r') n--; + if (n > 0) { + MlnlEvent ev = {0}; + if (ParseLine(payload + lineStart, n, &ev, &out->truncated)) { + out->events[out->eventCount++] = ev; + if (ev.kind >= 0 && ev.kind < MLNL_KIND_MAX) + out->kindPresent[ev.kind] = true; + } + } + lineStart = (int)i + 1; + } + } + + out->loaded = true; + free(payload); + return true; +} + +void FreeMlnl(MlnlAnnotations* a) +{ + if (!a) return; + free(a->events); + memset(a, 0, sizeof(*a)); +} diff --git a/src/mlnl.h b/src/mlnl.h new file mode 100644 index 0000000..2c8893d --- /dev/null +++ b/src/mlnl.h @@ -0,0 +1,98 @@ +// mlnl.h - mLnL annotation chunk parser (schema v2). +// Walks a WAV file's RIFF chunks looking for the optional `mLnL` chunk +// (UTF-8 JSON Lines), parses each line into an MlnlEvent. Every event is a +// self-contained time range [t_start, t_end] (instantaneous events have +// t_start == t_end). See mlnl_chunk_spec.md. +#ifndef MLNL_H +#define MLNL_H + +#include + +typedef enum { + MLNL_KIND_UNKNOWN = 0, + MLNL_KIND_CHANNEL_UP, + MLNL_KIND_CHANNEL_DOWN, + MLNL_KIND_CONTROL, + MLNL_KIND_TX_FRAME, // v2 primary annotation: one daemon-sourced on-air frame + MLNL_KIND_TX_BURST, // deprecated, energy-detected guess; superseded by tx_frame + MLNL_KIND_ASSERTION_PASSED, + MLNL_KIND_ASSERTION_FAILED, + MLNL_KIND_IMPAIRMENT_FIRE, + MLNL_KIND_GAIN_CHANGE, +} MlnlKind; + +typedef struct { + // Required. + double t_start, t_end; + MlnlKind kind; + char kindStr[32]; // original "kind" string (for unknown kinds + display) + + // Frequency annotation (resolved from f_lo/f_hi OR f_center/f_bw). + double f_lo_hz, f_hi_hz; + bool has_freq; + + // Optional human/visual hints. + char note[96]; + bool has_note; + unsigned char colorR, colorG, colorB; // parsed from "#RRGGBB" + bool has_color; + + // Kind-specific fields. The has_* flag says whether the producer set it. + unsigned int node; + bool has_node; + char command[64]; + bool has_command; + char name[128]; // assertion name + bool has_name; + char reason[96]; // assertion_failed reason + bool has_reason; + double peak, rms, papr_db; // tx_burst + bool has_stats; + double slack_s; // assertion_passed + bool has_slack; + unsigned int id; // tx_burst: monotonic per-wav identifier + bool has_id; + char label[32]; // tx_burst: optional frame tag (SEED/BULK/ACK/...) + bool has_label; + + // tx_frame fields (schema v2 primary annotation). `node`/`has_node` above + // carry the transmitting node_id (attribution + color). + int seq, nFrames; // 0-based index + total frames in the PTT ("seq of n") + bool has_seqn; // set once `n` is present + char frame[32]; // mLink frame name (PRESENCE/SEED, BULK, BULK/RTS, ...) + bool has_frame; + char ch[16]; // daemon channel (EMERGENCY / ANNOUNCE_0|1|2 / BULK) + bool has_ch; + char rate[8]; // LDPC rate of a bulk OFDM frame ("1/2".."5/6"); else empty + bool has_rate; + // intent->air latency of this burst: air_time - modem render/intent time. + // The producer already anchors t_start/t_end on the ACTUAL on-air edge, so + // this is a profiling metric ("modem wants vs. actually does"), not a + // plotting offset. Coarse/block-quantized. See mlnl_chunk_spec.md §4.2. + double sched_offset_ms; + bool has_sched_offset; +} MlnlEvent; + +// Up to this many distinct MlnlKind values are tracked per-file (any new kinds +// added to the enum must bump this). Indexed by the MlnlKind value. +#define MLNL_KIND_MAX 16 + +typedef struct { + MlnlEvent* events; + int eventCount; + bool truncated; // {"truncated":true} sentinel appeared + bool loaded; // true iff the file contained a parseable mLnL chunk + bool kindPresent[MLNL_KIND_MAX]; // which kinds the parser saw (drives the UI) +} MlnlAnnotations; + +// Walk `path`'s RIFF chunks looking for `mLnL` and parse the JSONL payload. +// Returns true on success (out->loaded is set the same way). On failure +// (no chunk / unreadable / not WAV) returns false and zeroes *out. +bool LoadMlnlFromWav(const char* path, MlnlAnnotations* out); + +void FreeMlnl(MlnlAnnotations* a); + +// Display label for an MlnlKind. +const char* MlnlKindName(MlnlKind k); + +#endif // MLNL_H diff --git a/src/render.c b/src/render.c index 53604f3..7d5dad1 100644 --- a/src/render.c +++ b/src/render.c @@ -293,8 +293,9 @@ void DrawLabels(Rectangle bounds) DrawTextScaled(label, x, bounds.y + bounds.height + 5, baseFontSize, textColor); } - // Frequency labels adapted to current zoom level - float maxFreq = (float)app.signal.sampleRate / 2.0f; + // Frequency labels adapted to current zoom level. Honors the display crop: + // 1.0 of the view range is the user's chosen max, not raw Nyquist. + float maxFreq = EffectiveMaxFreqHz(); float freqMin = app.view.freqStart * maxFreq; float freqMax = app.view.freqEnd * maxFreq; @@ -503,8 +504,12 @@ void DrawCursorReadout(Rectangle bounds) float tFrac = app.view.start + ((m.x - bounds.x) / bounds.width) * (app.view.end - app.view.start); float fFrac = app.view.freqStart + (1.0f - (m.y - bounds.y) / bounds.height) * (app.view.freqEnd - app.view.freqStart); float timeSec = tFrac * app.signal.duration; - float nyquist = app.signal.sampleRate * 0.5f; - float freqHz = fFrac * nyquist; + // Map cursor freq through the cropped axis (so 100% of view = chosen max, + // not raw Nyquist), but use the true Nyquist for STFT bin spacing — the + // bins themselves still cover the full signal regardless of the crop. + float displayMax = EffectiveMaxFreqHz(); + float dataNyquist = app.signal.sampleRate * 0.5f; + float freqHz = fFrac * displayMax; // Sample the STFT level at this (time, freq). char level[32] = "--"; @@ -514,7 +519,7 @@ void DrawCursorReadout(Rectangle bounds) if (seg >= app.stft.numSegments) seg = app.stft.numSegments - 1; const StftSegment* s = &app.stft.segments[seg]; if (s->spectrum && s->numBins > 1) { - float binHz = nyquist / (float)(s->numBins - 1); + float binHz = dataNyquist / (float)(s->numBins - 1); int bin = (int)(freqHz / binHz + 0.5f); if (bin < 0) bin = 0; if (bin >= s->numBins) bin = s->numBins - 1; @@ -581,8 +586,10 @@ void DrawMarkers(Rectangle bounds) if (bIn) DrawMarkerCross(b, (Color){ 255, 180, 80, 255 }, "B"); EndScissorMode(); - // Compute deltas in real units. - float nyquist = app.signal.sampleRate * 0.5f; + // Compute deltas in real units. Marker positions are normalized inside + // the displayed view, so they scale with the crop just like the freq + // axis labels do — what the user sees IS what they measure. + float nyquist = EffectiveMaxFreqHz(); float ta = app.marker.t0 * app.signal.duration, tb = app.marker.t1 * app.signal.duration; float fa = app.marker.f0 * nyquist, fb = app.marker.f1 * nyquist; float dt = fabsf(tb - ta); @@ -722,6 +729,743 @@ void DrawSpectrumPanel(Rectangle bounds) free(power); } +// ============================================================================ +// mLnL annotation overlay (schema v2) +// +// Layer order (per the spec; deepest first): +// 1. tx_frame — PRIMARY: filled translucent box + outline + per-frame label, +// each frame drawn in its own frequency lane (announce / bulk / emergency) +// 2. assertion_passed / assertion_failed — thin outlined rectangles +// 3. control / channel_up / channel_down / impairment / gain — vertical lines +// Each pass also records the topmost hover hit so the tooltip drawn last +// reflects the visually-frontmost annotation under the cursor. +// ============================================================================ + +// Default per-node palette used when an event omits the `color` field. +static Color NodeColor(unsigned int node) +{ + static const Color palette[] = { + { 120, 220, 255, 255 }, // sky + { 255, 180, 80, 255 }, // amber + { 160, 255, 140, 255 }, // mint + { 255, 130, 200, 255 }, // pink + { 200, 160, 255, 255 }, // lavender + { 255, 230, 110, 255 }, // pale gold + }; + return palette[node % (sizeof(palette) / sizeof(palette[0]))]; +} + +// Resolve an event's display color: use the producer-supplied `color` field +// if present, otherwise fall back to a per-kind default (tx_burst uses node +// palette; assertions use spec defaults; controls/etc. get a neutral hint). +static Color EventColor(const MlnlEvent* e) +{ + if (e->has_color) return (Color){ e->colorR, e->colorG, e->colorB, 255 }; + switch (e->kind) { + case MLNL_KIND_TX_FRAME: + case MLNL_KIND_TX_BURST: + return NodeColor(e->has_node ? e->node : 0); + case MLNL_KIND_ASSERTION_PASSED: return (Color){ 60, 179, 113, 255 }; // #3CB371 + case MLNL_KIND_ASSERTION_FAILED: return (Color){ 214, 40, 40, 255 }; // #D62828 + case MLNL_KIND_CONTROL: return (Color){ 255, 220, 120, 255 }; + default: return (Color){ 200, 200, 220, 255 }; + } +} + +// Map (t_s, freq_hz) to screen, honoring zoom. duration_s and nyquist_hz are +// the signal's extents. +static Vector2 AnnoToScreen(Rectangle bounds, double t_s, double f_hz, + double duration_s, double nyquist_hz) +{ + double tFrac = (duration_s > 0.0) ? (t_s / duration_s) : 0.0; + double fFrac = (nyquist_hz > 0.0) ? (f_hz / nyquist_hz) : 0.0; + double vw = app.view.end - app.view.start; + double fw = app.view.freqEnd - app.view.freqStart; + Vector2 p; + p.x = bounds.x + (float)((tFrac - app.view.start) / vw) * bounds.width; + p.y = bounds.y + bounds.height - (float)((fFrac - app.view.freqStart) / fw) * bounds.height; + return p; +} + +// Project the event's time+frequency band into a screen rectangle, clipped to +// the viewport. Events with no freq fields span the full frequency axis. +// Returns false if the result is entirely outside the visible area. +static bool EventRect(Rectangle bounds, const MlnlEvent* e, + double duration_s, double nyquist_hz, Rectangle* out) +{ + double f0 = e->has_freq ? e->f_lo_hz : 0.0; + double f1 = e->has_freq ? e->f_hi_hz : nyquist_hz; + Vector2 lo = AnnoToScreen(bounds, e->t_start, f0, duration_s, nyquist_hz); + Vector2 hi = AnnoToScreen(bounds, e->t_end, f1, duration_s, nyquist_hz); + float x = fminf(lo.x, hi.x); + float y = fminf(lo.y, hi.y); + float w = fabsf(hi.x - lo.x); + float h = fabsf(hi.y - lo.y); + if (x + w < bounds.x || x > bounds.x + bounds.width) return false; + float x0 = fmaxf(x, bounds.x); + float x1 = fminf(x + w, bounds.x + bounds.width); + float y0 = fmaxf(y, bounds.y); + float y1 = fminf(y + h, bounds.y + bounds.height); + if (x1 <= x0 || y1 <= y0) return false; + *out = (Rectangle){ x0, y0, x1 - x0, y1 - y0 }; + return true; +} + +// Build the tooltip lines for an event. Fields are listed in priority order +// (kind banner, note, time range, freq band, then kind-specific extras). +// Format a tx_frame's intent->air latency compactly: "+160ms", "+4.0s". +// sched_offset_ms = air_time - modem intent time (how late the burst hit the +// air vs. when it was rendered); see mlnl_chunk_spec.md §4.2. +static void FormatSchedOffset(double ms, char* out, int cap) +{ + const char* sign = (ms < 0) ? "-" : "+"; + double a = fabs(ms); + if (a >= 1000.0) snprintf(out, cap, "%s%.1fs", sign, a / 1000.0); + else snprintf(out, cap, "%s%.0fms", sign, a); +} + +static int BuildEventLines(const MlnlEvent* e, char lines[][96], int maxLines) +{ + int n = 0; + if (n < maxLines) snprintf(lines[n++], 96, "%s", e->kindStr); + if (e->has_note && n < maxLines) snprintf(lines[n++], 96, "%s", e->note); + + double dt = e->t_end - e->t_start; + if (dt > 0.0) { + if (n < maxLines) snprintf(lines[n++], 96, "%.3f - %.3f s", e->t_start, e->t_end); + if (n < maxLines) snprintf(lines[n++], 96, "dur: %.3f s", dt); + } else { + if (n < maxLines) snprintf(lines[n++], 96, "t: %.3f s", e->t_start); + } + if (e->has_freq && n < maxLines) snprintf(lines[n++], 96, "%.0f - %.0f Hz", e->f_lo_hz, e->f_hi_hz); + + // tx_frame specifics: frame name, daemon channel, position in the PTT, rate. + if (e->has_frame && n < maxLines) snprintf(lines[n++], 96, "frame: %s", e->frame); + if (e->has_ch && n < maxLines) snprintf(lines[n++], 96, "ch: %s", e->ch); + if (e->has_seqn && e->nFrames > 1 && n < maxLines) + snprintf(lines[n++], 96, "frame %d of %d", e->seq + 1, e->nFrames); + if (e->has_rate && n < maxLines) snprintf(lines[n++], 96, "rate: %s", e->rate); + // Intent->air latency: how late this burst hit the air vs. the modem's + // render time. Boxes are already air-anchored upstream, so this is purely + // informational (see mlnl_chunk_spec.md §4.2). + if (e->has_sched_offset && n < maxLines) { + char so[24]; + FormatSchedOffset(e->sched_offset_ms, so, sizeof(so)); + snprintf(lines[n++], 96, "sched offset: %s", so); + } + + if (e->has_node && n < maxLines) { + // For tx_burst prefer "node N

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-\documentclass[12pt]{article} -\usepackage[margin=1in]{geometry} -\usepackage{amsmath} -\usepackage{tikz} -\usepackage{color} -\usepackage{hyperref} - -\title{\textbf{Why Spectrograms Look Smudged (And How to Fix Them)}\\ -\small\textit{A beginner-friendly guide to synchrosqueezing}} -\author{} -\date{} - -\begin{document} -\maketitle - -\section*{What You Already Know} - -You know what an FFT does. You feed it a chunk of audio, it tells you which frequencies are present. You slide a window across your audio, stack up the FFTs, and you get a spectrogram. - -But your spectrogram looks \textbf{smudged}. A pure tone doesn't look like a clean line --- it looks like someone took a finger and smeared it vertically. You're wondering: \textit{``Is this just how FFTs work, or am I doing something wrong?''} - -You're not doing anything wrong. This is a known limitation of the standard approach. And there's a technique called \textbf{synchrosqueezing} that fixes it. - -\section*{Why the Smudge Happens} - -Your FFT has bins at fixed frequencies. If your FFT size is 512 and your sample rate is 48\,kHz, the bins are spaced 93.75\,Hz apart: - -\begin{center} -\begin{tabular}{|c|c|c|c|c|c|c|} -\hline -Bin 0 & Bin 1 & Bin 2 & Bin 3 & Bin 4 & Bin 5 & Bin 6 \\ -0 Hz & 94 Hz & 188 Hz & 281 Hz & 375 Hz & 469 Hz & 563 Hz \\ -\hline -\end{tabular} -\end{center} - -Now imagine your signal has a pure 500\,Hz tone. Where does it go? - -It doesn't match any bin exactly. It falls \textbf{between} bin 5 (469\,Hz) and bin 6 (563\,Hz). The FFT doesn't know what to do with it, so it spreads the energy across both bins. - -\textbf{Result:} Your clean 500\,Hz tone now shows up as energy at both 469\,Hz and 563\,Hz. That's the smudge. - -\textbf{This is called \textit{spectral leakage}, and it's a fundamental property of the FFT.} It's not a bug --- it's just how the math works. - -\section*{The Hidden Information: Phase} - -Every FFT output value is a \textbf{complex number}. That means it has two parts: - -\begin{itemize} - \item \textbf{Magnitude} --- how strong is this frequency? (This is what you use to draw the spectrogram.) - \item \textbf{Phase} --- where are we in the wave cycle? (This is what you've been ignoring.) -\end{itemize} - -Here's the thing: \textbf{the phase contains information about the true frequency.} - -\subsection*{Think of It Like This: Engine Timing} - -Imagine you're tuning an engine. There's a timing mark painted on the crankshaft pulley, and a sensor that detects when the mark passes by. - -You \textbf{expect} the engine to run at 3000 RPM. At that speed, the timing mark should pass the sensor at exactly the same point in each revolution. - -But the engine is actually running at 3100 RPM --- slightly faster than expected. What happens? - -\begin{itemize} - \item Revolution 1: the mark passes right where you expect it - \item Revolution 2: the mark arrives a little \textbf{early} (the engine completed the rotation faster than expected) - \item Revolution 3: the mark arrives even earlier - \item Revolution 4: the mark is now noticeably ahead of where it should be -\end{itemize} - -The mark is \textbf{drifting forward} relative to your expectation. By measuring \textbf{how much it drifts per revolution}, you can calculate the \textbf{actual RPM}. - -\textbf{This is exactly what happens with FFT bins.} - -Each FFT bin is like expecting the engine to run at a specific RPM (the bin center frequency). The phase tells you where the ``timing mark'' is. If the phase drifts forward from one window to the next, the true frequency is higher than the bin center. If it drifts backward, the true frequency is lower. - -\textbf{Measure the drift rate, and you know the true frequency.} - -\section*{The Formula} - -The instantaneous frequency estimate is: - -\begin{equation} -\hat{\omega}(a,b) = \text{Re}\left[ \frac{\partial_b V_f(a,b)}{i \cdot V_f(a,b)} \right] -\end{equation} - -Let's decode this: - -\begin{itemize} - \item $V_f(a,b)$ = the complex FFT value for bin $a$ at time window $b$ - \item $\partial_b V_f$ = how much that value changed from the previous time window - \item $i$ = the imaginary unit (a math trick that converts phase rotation into Hz) - \item $\text{Re}[\ldots]$ = take the real part of the result -\end{itemize} - -\textbf{In plain English:} - -\begin{center} -\fbox{\parbox{0.7\textwidth}{\centering -``How fast is the phase changing from one window to the next?'' \\ -$=$ \\ -``What is the true frequency at this point?'' -}} -\end{center} - -\section*{How to Actually Compute This} - -``Wait, what's that $\partial_b$ symbol? That's a derivative!'' - -Good news: you don't need to compute derivatives numerically. There's a neat trick. - -You compute \textbf{two FFTs} per window: - -\begin{enumerate} - \item \textbf{Normal STFT} using your Hann window $h(t)$ $\rightarrow$ gives you $V_f$ - \item \textbf{Second STFT} using the \textbf{derivative of the Hann window} $h'(t)$ $\rightarrow$ gives you $V_{fd}$ -\end{enumerate} - -The Hann window is: -$$h(t) = 0.5 \times \bigl(1 - \cos(2\pi t)\bigr)$$ - -Its derivative is: -$$h'(t) = \pi \times \sin(2\pi t)$$ - -\textbf{That's all.} You already know how to window and FFT. Just use a different window function for the second FFT. - -Then the formula becomes: - -\begin{equation} -\hat{\omega} = \text{bin\_frequency} + \text{Re}\left[ \frac{V_{fd}}{i \cdot V_f} \right] -\end{equation} - -\section*{What You Do With This Number} - -For every FFT bin at every time window, you now know the \textbf{true frequency}, not just the bin center. - -So instead of drawing the energy at the bin center (469\,Hz), you draw it at the true frequency (500\,Hz). - -\textbf{This is synchrosqueezing:} you're taking the smeared energy and ``squeezing'' it back to where it actually belongs. - -\section*{The Algorithm} - -\begin{verbatim} -for each time window: - # Step 1: Normal STFT with Hann window - windowed = samples * hann_window - V_f = FFT(windowed) - - # Step 2: STFT with derivative-of-Hann window - deriv_windowed = samples * hann_derivative - V_fd = FFT(deriv_windowed) - - # Step 3: For each bin, compute true frequency - for each bin: - # Complex division - correction = Re(V_fd / (i * V_f)) - true_freq = bin_frequency + correction - - # Step 4: Put the energy at the true frequency - target_bin = round(true_freq / freq_per_bin) - output[target_bin] += magnitude(V_f) -\end{verbatim} - -\section*{What Changes Visually} - -\begin{center} -\begin{tabular}{|p{0.45\textwidth}|p{0.45\textwidth}|} -\hline -\textbf{Standard STFT} & \textbf{Synchrosqueezed} \\ -\hline -Energy spread across 2--4 bins & Energy concentrated in 1 bin \\ -Tone looks like a fuzzy bar & Tone looks like a sharp line \\ -Hard to distinguish close tones & Close tones are clearly separate \\ -\hline -\end{tabular} -\end{center} - -For an FSK signal (like your FSK4 at 50 baud): -\begin{itemize} - \item \textbf{Before:} each symbol looks like a blurry blob - \item \textbf{After:} each symbol looks like a clean rectangle -\end{itemize} - -\section*{The Trade-offs} - -\begin{itemize} - \item \textbf{Computation:} 2 FFTs per window instead of 1 (roughly 1.5--2$\times$ slower) - \item \textbf{Memory:} need to store both $V_f$ and $V_{fd}$ - \item \textbf{Quality:} significantly sharper time-frequency representation -\end{itemize} - -For a 2-second audio file at FFT size 512, we're talking about 0.1 seconds vs.\ 0.15 seconds. Not a big deal for offline analysis. - -\section*{Why Not Just Use a Bigger FFT?} - -You could increase your FFT size to get narrower bins. But: -\begin{itemize} - \item Bigger FFT = wider time window = worse \textbf{time} resolution - \item You trade frequency smearing for time smearing - \item Synchrosqueezing gives you sharp frequency \textbf{and} sharp time -\end{itemize} - -It's not a replacement for choosing the right FFT size. It's a way to get the most out of whatever FFT size you choose. - -\section*{Further Reading} - -If you want to go deeper: -\begin{itemize} - \item Thakur et al., \textit{The Synchrosqueezing algorithm for time-varying spectral analysis} (2011) --- the standard reference - \item \texttt{librosa.reassigned\_spectrogram} (Python) --- a working implementation - \item \texttt{scipy.signal.spectrogram} with phase-based reassignment --- another approach -\end{itemize} - -\vspace{1cm} -\begin{center} -\textit{The smudge isn't your fault. But now you know how to fix it.} -\end{center} - -\end{document}

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