A probabilistic framework for subband autoregressive models applied to room acoustics

Real room acoustic impulse responses (AIRs) modelled by infinite impulse response (IIR) filters require high model orders. Many problems involving the estimation of AIRs reduce to high dimensional optimisation problems. Subband autoregressive (AR) modelling techniques reduce this difficult optimisation problem to a number of simpler low dimensional optimisations. This paper introduces a formulation for subband AR modelling in a probabilistic framework which facilitates robust Bayesian parameter estimation. The paper also provides new results to show that the subband AR representation accurately models typical AIRs and, therefore, is suitable for modelling room reverberation.

[1]  F. Itakura,et al.  Dereverberation of Speech Signals Based on Sub-Band Envelope Estimation , 1991 .

[2]  Thomas R. Fischer,et al.  Linear prediction of subband signals , 1994, IEEE J. Sel. Areas Commun..

[3]  John Mourjopoulos,et al.  Pole and zero modeling of room transfer functions , 1991 .

[4]  P. P. Vaidyanathan,et al.  Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial , 1990, Proc. IEEE.

[5]  T. Langhans,et al.  Speech enhancement by nonlinear multiband envelope filtering , 1982, ICASSP.

[6]  James R. Hopgood Nonstationary signal processing with application to reverberation cancellation in acoustic environments , 2000 .

[7]  William A. Pearlman,et al.  Analysis of linear prediction, coding, and spectral estimation from subbands , 1996, IEEE Trans. Inf. Theory.

[8]  Fumitada Itakura,et al.  Recovering of broadband reverberant speech signal by sub-band MINT method , 1991, [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

[9]  J. Makhoul,et al.  Linear prediction: A tutorial review , 1975, Proceedings of the IEEE.

[10]  J. Makhoul Spectral analysis of speech by linear prediction , 1973 .

[11]  James R. Hopgood,et al.  Bayesian single channel blind deconvolution using parametric signal and channel models , 1999, Proceedings of the 1999 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics. WASPAA'99 (Cat. No.99TH8452).

[12]  Jont B. Allen,et al.  Invertibility of a room impulse response , 1979 .

[13]  John Mourjopoulos,et al.  Modelling and enhancement of reverberant speech using an envelope convolution method , 1983, ICASSP.