Unsupervised Speech Dereverberation by Diffusion Posterior Sampling

Table of Contents

Brief Overview

We consider the problem of multi-channel single-speaker blind dereverberation, where multi-channel mixtures are used to recover the clean anechoic speech. To solve this problem, we propose USD-DPS, Unsupervised Speech Dereverberation via Diffusion Dosterior Sampling. USD-DPS uses an unconditional clean speech diffusion model as a strong prior to solve the problem by posterior sampling. At each diffusion sampling step, we estimate all microphone channels' room impulse responses (RIRs), which are further used to enforce a multi-channel mixture consistency constraint for diffusion guidance. For multi-channel RIR estimation, we estimate reference-channel RIR by optimizing RIR parameters of a sub-band RIR signal model, with the Adam optimizer. We estimate non-reference channels' RIRs analytically using forward convolutive prediction (FCP). We found that this combination provides a good balance between sampling efficiency and RIR prior modeling, which shows superior performance among unsupervised dereverberation approaches.


Audio Demo for 1/2/4/8 Channel Mixtures from WSJ0CAM-DEREVERB Dataset

Here is the main result of our paper for 8-channel WSJ0CAM-DEREVERB dataset.

Here is the hyperparameter tunning tables for WSJ0CAM-DEREVERB dataset. We experiment among a set of values for zeta, lambda, and K

Here is the run-time comparison of various models on WSJ0CAM-DEREVERB dataset

In the following demos, we evalute a subset of methods from Table 1 (shown above):

  • CLEAN - Groundtruth souce at referece channel
  • WPE - (takes 1/2/4/8-channels mixture input)
  • DNN-WPE - (takes 2/4/8-channels mixture input)
  • BUDDy (NCSN++) - (takes 1-channel mixture input)
  • BUDDy (1D-UNet) - (takes 1-channel mixture input)
  • MC-BUDDy - (takes 2/4/8-channels mixture input)
  • USD-DPS - (takes 2/4/8-channels mixture input)
  • NBC - (takes 2/4/8-channels mixture input)

We take the first 10 samples from WSJ0CAM-DEREVERB dataset, and we demo the inference result by taking 1/2/4/8 channels of the sample. For 1-channel dereverberation, we usethe mixture signal captured by microphone 1; for 2-channels dereverberation, we use microphone l and 4, for 4-channels dereverberation, we use microphone 1,3, 5 and 7; and for 8-channels dereverberation, all the 8 microphones are used.


Utterance ID=000000


Mixture Clean
Methods 1-Channel 2-Channel 4-Channel 8-Channel
WPE
DNN-WPE
BUDDy (NCSN++)
BUDDy (1D-UNet)
MC-BUDDy
USD-DPS
NBC



Utterance ID=000001


Mixture Clean
Methods 1-Channel 2-Channel 4-Channel 8-Channel
WPE
DNN-WPE
BUDDy (NCSN++)
BUDDy (1D-UNet)
MC-BUDDy
USD-DPS
NBC



Utterance ID=000002


Mixture Clean
Methods 1-Channel 2-Channel 4-Channel 8-Channel
WPE
DNN-WPE
BUDDy (NCSN++)
BUDDy (1D-UNet)
MC-BUDDy
USD-DPS
NBC



Utterance ID=000003


Mixture Clean
Methods 1-Channel 2-Channel 4-Channel 8-Channel
WPE
DNN-WPE
BUDDy (NCSN++)
BUDDy (1D-UNet)
MC-BUDDy
USD-DPS
NBC



Utterance ID=000004


Mixture Clean
Methods 1-Channel 2-Channel 4-Channel 8-Channel
WPE
DNN-WPE
BUDDy (NCSN++)
BUDDy (1D-UNet)
MC-BUDDy
USD-DPS
NBC



Utterance ID=000005


Mixture Clean
Methods 1-Channel 2-Channel 4-Channel 8-Channel
WPE
DNN-WPE
BUDDy (NCSN++)
BUDDy (1D-UNet)
MC-BUDDy
USD-DPS
NBC



Utterance ID=000006


Mixture Clean
Methods 1-Channel 2-Channel 4-Channel 8-Channel
WPE
DNN-WPE
BUDDy (NCSN++)
BUDDy (1D-UNet)
MC-BUDDy
USD-DPS
NBC



Utterance ID=000007


Mixture Clean
Methods 1-Channel 2-Channel 4-Channel 8-Channel
WPE
DNN-WPE
BUDDy (NCSN++)
BUDDy (1D-UNet)
MC-BUDDy
USD-DPS
NBC



Utterance ID=000008


Mixture Clean
Methods 1-Channel 2-Channel 4-Channel 8-Channel
WPE
DNN-WPE
BUDDy (NCSN++)
BUDDy (1D-UNet)
MC-BUDDy
USD-DPS
NBC



Utterance ID=000009


Mixture Clean
Methods 1-Channel 2-Channel 4-Channel 8-Channel
WPE
DNN-WPE
BUDDy (NCSN++)
BUDDy (1D-UNet)
MC-BUDDy
USD-DPS
NBC