"""Generate activation confidence annotations. """ from __future__ import division import scipy.signal import numpy as np import librosa import medleydb import os import argparse def compute_activation_confidence(mtrack, win_len=4096, lpf_cutoff=0.075, theta=0.15, var_lambda=20.0, amplitude_threshold=0.01): """Create the activation confidence annotation for a multitrack. The final activation matrix is computed as: `C[i, t] = 1 - (1 / (1 + e**(var_lambda * (H[i, t] - theta))))` where H[i, t] is the energy of stem `i` at time `t` Parameters ---------- mtrack : MultiTrack Multitrack object win_len : int, default=4096 Number of samples in each window lpf_cutoff : float, default=0.075 Lowpass frequency cutoff fraction theta : float Controls the threshold of activation. var_labmda : float Controls the slope of the threshold function. amplitude_threshold : float Energies below this value are set to 0.0 Returns ------- C : np.array Array of activation confidence values shape (n_conf, n_stems) stem_index_list : list List of stem indices in the order they appear in C """ H = [] stem_index_list = [] # MATLAB equivalent to @hanning(win_len) win = scipy.signal.windows.hann(win_len + 2)[1:-1] for stem_idx, track in mtrack.stems.items(): audio, rate = librosa.load(track.audio_path, sr=44100, mono=True) H.append(track_energy(audio.T, win_len, win)) stem_index_list.append(stem_idx) # list to numpy array H = np.array(H) # normalization (to overall energy and # of sources) E0 = np.sum(H, axis=0) H = len(mtrack.stems) * H / np.max(E0) # binary thresholding for low overall energy events H[:, E0 < amplitude_threshold] = 0.0 # LP filter b, a = scipy.signal.butter(2, lpf_cutoff, 'low') H = scipy.signal.filtfilt(b, a, H, axis=1) # logistic function to semi-binarize the output; confidence value C = 1.0 - (1.0 / (1.0 + np.exp(np.dot(var_lambda, (H - theta))))) # add time column time = librosa.core.frames_to_time( np.arange(C.shape[1]), sr=rate, hop_length=win_len // 2 ) # stack time column to matrix C_out = np.vstack((time, C)) return C_out.T, stem_index_list def track_energy(wave, win_len, win): """Compute the energy of an audio signal Parameters ---------- wave : np.array The signal from which to compute energy win_len: int The number of samples to use in energy computation win : np.array The windowing function to use in energy computation Returns ------- energy : np.array Array of track energy """ hop_len = win_len // 2 wave = np.lib.pad( wave, pad_width=(win_len-hop_len, 0), mode='constant', constant_values=0 ) # post padding wave = librosa.util.fix_length( wave, int(win_len * np.ceil(len(wave) / win_len)) ) # cut into frames wavmat = librosa.util.frame(wave, frame_length=win_len, hop_length=hop_len) # Envelope follower wavmat = hwr(wavmat) ** 0.5 # half-wave rectification + compression return np.mean((wavmat.T * win), axis=1) def hwr(x): """ Half-wave rectification. Parameters ---------- x : array-like Array to half-wave rectify Returns ------- x_hwr : array-like Half-wave rectified array """ return (x + np.abs(x)) / 2 def write_activations_to_csv(mtrack, activations, stem_index_list, overwrite_existing=False): """Write computed activations to the multitrack's activation confidence file. Parameters ---------- mtrack : MultiTrack Multitrack object activations : np.array Matrix of stem activations stem_index_list : list List of stem indices overwrite_existing : bool, default=False If True, overwrites an existing activation confidence file """ stem_str = ",".join( ["S%02d" % stem_idx for stem_idx in stem_index_list] ) if not os.path.exists(mtrack.activation_conf_fpath) or overwrite_existing: np.savetxt( mtrack.activation_conf_fpath, activations, header='time,{}'.format(stem_str), delimiter=',', fmt='%.4f', comments='' ) def main(args): """Main function. Computes the activation confidence annotation for a given multitrack id. """ mtrack = medleydb.MultiTrack(args.track_id) if os.path.exists(mtrack.activation_conf_fpath): return True activations, index_list = compute_activation_confidence(mtrack) write_activations_to_csv(mtrack, activations, index_list) if __name__ == "__main__": parser = argparse.ArgumentParser(description="") parser.add_argument("track_id", type=str, default="LizNelson_Rainfall", help="MedleyDB track id. Ex. LizNelson_Rainfall") main(parser.parse_args())