Title
A Polynomial Dictionary Learning Method for Acoustic Impulse Response Modeling
Abstract
Dictionary design is an important issue in sparse representations. As compared with pre-defined dictionaries, dictionaries learned from training signals may provide a better fit to the signals of interest. Existing dictionary learning algorithms have focussed overwhelmingly on standard matrix (i.e. with scalar elements), and little attention has been paid to polynomial matrix, despite its widespread use for describing con-volutive signals and for modelling acoustic channels in both room and underwater acoustics. In this paper, we present a method for polynomial matrix based dictionary learning by extending the widely used K-SVD algorithm to the polynomial matrix case. The atoms in the learned dictionary form the basic building components for the impulse responses. Through the control of the sparsity in the coding stage, the proposed method can be used for denoising of acoustic impulse responses, as demonstrated by simulations for both noiseless and noisy data.
Year
DOI
Venue
2015
10.1007/978-3-319-22482-4_24
LATENT VARIABLE ANALYSIS AND SIGNAL SEPARATION, LVA/ICA 2015
Keywords
Field
DocType
Dictionary learning,Polynomial matrix,Impulse responses
Impulse response,K-SVD,Polynomial,Polynomial matrix,Matrix (mathematics),Computer science,Underwater acoustics,Coding (social sciences),Speech recognition,Impulse (physics)
Conference
Volume
ISSN
ISBN
9237
0302-9743
978-3-319-22482-4; 978-3-319-22481-7
Citations 
PageRank 
References 
2
0.38
2
Authors
4
Name
Order
Citations
PageRank
Guan Jian183.69
Dong Jing221.05
Xuan Wang329157.12
Wang Wenwu4144.75