File size: 7,211 Bytes
570b87b | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 | """Time-domain HOA streams: encode mono sources, frame-wise analysis."""
from __future__ import annotations
from dataclasses import dataclass
from typing import Sequence
import numpy as np
from .analysis import (
angular_error_deg,
doa_from_intensity,
field_energy,
peak_direction,
)
from .audio_io import ensure_hoa_channels
from .basis import MAX_ORDER, N_CHANNELS, sh_sn3d
from .encode import encode_plane_waves, mix
from .stft import frame_multichannel, hann_window, stft, stft_freqs
@dataclass
class SourceSpec:
"""One plane-wave source in a synthetic or annotated scene."""
azimuth_deg: float
elevation_deg: float
signal: np.ndarray # (n_samples,)
label: str = ""
def encode_mono_plane_wave(
signal: np.ndarray,
azimuth_deg: float,
elevation_deg: float = 0.0,
*,
max_order: int = MAX_ORDER,
) -> np.ndarray:
"""Mono signal from a known direction → Ambix HOA stream (C, T)."""
sig = np.asarray(signal, dtype=np.float64).reshape(1, -1)
return encode_plane_waves(
[azimuth_deg],
[elevation_deg],
sig,
degrees=True,
max_order=max_order,
)
def encode_scene(
sources: Sequence[SourceSpec],
*,
max_order: int = MAX_ORDER,
) -> np.ndarray:
"""Superpose multiple plane-wave sources into one HOA stream (C, T)."""
if not sources:
raise ValueError("sources must be non-empty")
lengths = [int(np.asarray(s.signal).reshape(-1).shape[0]) for s in sources]
T = max(lengths)
fields = []
for s in sources:
sig = np.asarray(s.signal, dtype=np.float64).reshape(-1)
if sig.shape[0] < T:
sig = np.pad(sig, (0, T - sig.shape[0]))
elif sig.shape[0] > T:
sig = sig[:T]
fields.append(
encode_mono_plane_wave(
sig, s.azimuth_deg, s.elevation_deg, max_order=max_order
)
)
out = fields[0]
for f in fields[1:]:
out = out + f
return out
def hoa_rms(hoa: np.ndarray) -> np.ndarray:
"""Per-channel RMS. hoa (C,T) → (C,)."""
a = np.asarray(hoa, dtype=np.float64)
return np.sqrt(np.mean(a * a, axis=-1) + 1e-30)
@dataclass
class FrameAnalysis:
t_center_sec: float
energy: float
doa_az_deg: float
doa_el_deg: float
peak_az_deg: float
peak_el_deg: float
peak_power: float
order1_energy: float
def analyze_hoa_frames(
hoa: np.ndarray,
sample_rate: int,
*,
frame_ms: float = 40.0,
hop_ms: float = 20.0,
max_order: int = MAX_ORDER,
peak_grid: bool = False,
) -> list[FrameAnalysis]:
"""Short-time spatial analysis of an HOA stream.
Uses rectangular frames; DOA from order-1 intensity on frame-averaged
(or energy-weighted) coefficients. Optional dense peak per frame is slower.
"""
a = ensure_hoa_channels(hoa, max_order=max_order)
frame_len = max(1, int(round(sample_rate * frame_ms / 1000.0)))
hop = max(1, int(round(sample_rate * hop_ms / 1000.0)))
frames = frame_multichannel(a, frame_len=frame_len, hop=hop)
# Energy-weighted mean coefficient per frame: sum_t a[c,t]*|a_w| style —
# use simple mean of coeffs (works for quasi-stationary plane waves).
win = hann_window(frame_len)
win = win / (np.sum(win) + 1e-30)
out: list[FrameAnalysis] = []
nch_o1 = 4
for i in range(frames.shape[0]):
block = frames[i] # (C, L)
# AC-safe: do NOT average coeffs (→0 for audio). Use intensity products.
w = win # (L,)
# weighted instantaneous intensity ~ W*X etc.
W = block[0] * w
Yc = block[1] * w
Zc = block[2] * w
Xc = block[3] * w
I = np.array(
[
float(np.sum(W * Xc)),
float(np.sum(W * Yc)),
float(np.sum(W * Zc)),
],
dtype=np.float64,
)
nrm = float(np.linalg.norm(I))
if nrm < 1e-18:
az, el = 0.0, 0.0
else:
from .basis import az_el_from_unit
az, el = az_el_from_unit(I / nrm, degrees=True)
az, el = float(az), float(el)
# RMS energy of the frame
energy = float(np.mean(np.sum(block * block, axis=0)))
o1e = float(np.mean(np.sum(block[:nch_o1] ** 2, axis=0)))
if peak_grid:
# Build a pseudo-static vector: sign-stable energy-weighted mean
# via sqrt of mean squares * sign of correlation with W
rms = np.sqrt(np.mean(block * block, axis=1) + 1e-30)
sign = np.sign(np.mean(block * block[0:1, :], axis=1) + 1e-30)
pseudo = rms * sign
paz, pel, pv = peak_direction(
pseudo, n_azi=48, n_el=24, max_order=min(max_order, 3)
)
else:
paz, pel, pv = float(az), float(el), energy
t_center = (i * hop + 0.5 * frame_len) / float(sample_rate)
out.append(
FrameAnalysis(
t_center_sec=t_center,
energy=energy,
doa_az_deg=float(az),
doa_el_deg=float(el),
peak_az_deg=float(paz),
peak_el_deg=float(pel),
peak_power=float(pv),
order1_energy=o1e,
)
)
return out
def analyze_hoa_stft_bands(
hoa: np.ndarray,
sample_rate: int,
*,
n_fft: int = 1024,
hop: int = 256,
band_edges_hz: Sequence[float] | None = None,
) -> list[dict]:
"""Per-frequency-band intensity DOA using order-1 HOA channels only.
Returns list of {band_hz: [lo,hi], doa_az, doa_el, energy}.
"""
a = ensure_hoa_channels(hoa, max_order=1)
if band_edges_hz is None:
band_edges_hz = [0, 250, 500, 1000, 2000, 4000, 8000, sample_rate / 2]
# STFT of W,Y,Z,X
specs = []
for c in range(4):
S = stft(a[c], n_fft=n_fft, hop=hop)
specs.append(S)
freqs = stft_freqs(n_fft, sample_rate)
# Time-average power-weighted intensity per bin then fold into bands
W, Y, Z, X = specs
# Use complex conjugate product for active intensity-like measure
# I_x ~ Re(W * conj(X)), etc., averaged over frames
Ix = np.mean(np.real(W * np.conj(X)), axis=1)
Iy = np.mean(np.real(W * np.conj(Y)), axis=1)
Iz = np.mean(np.real(W * np.conj(Z)), axis=1)
Ew = np.mean(np.abs(W) ** 2, axis=1)
edges = list(band_edges_hz)
reports = []
for lo, hi in zip(edges[:-1], edges[1:]):
mask = (freqs >= lo) & (freqs < hi)
if not np.any(mask):
continue
I = np.array(
[np.sum(Ix[mask]), np.sum(Iy[mask]), np.sum(Iz[mask])],
dtype=np.float64,
)
n = np.linalg.norm(I)
if n < 1e-15:
az, el = 0.0, 0.0
else:
from .basis import az_el_from_unit
az, el = az_el_from_unit(I / n, degrees=True)
az, el = float(az), float(el)
reports.append(
{
"band_hz": [float(lo), float(hi)],
"doa_az_deg": az,
"doa_el_deg": el,
"energy": float(np.sum(Ew[mask])),
}
)
return reports
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