Title
A Superfast Toeplitz Matrix Inversion Method for Single- and Multi-Channel Inverse Filters and Its Application to Room Equalization
Abstract
This paper derives a superfast Toeplitz matrix inversion method using FFT techniques. The approach casts the non-periodic Toeplitz matrix solution into a periodic framework and uses the Woodbury matrix inverse identity to express the non-periodic solution as a correction to the time-windowed periodic solution. It is shown that the solution can be implemented using FFT techniques that avoid the calculation of a large matrix inverse. The method is implemented for both single- and multi-channel cases and typical computation times and accuracy are reported for the equalization of simulated and measured room impulse responses.
Year
DOI
Venue
2021
10.1109/TASLP.2021.3120650
IEEE-ACM TRANSACTIONS ON AUDIO SPEECH AND LANGUAGE PROCESSING
Keywords
DocType
Volume
MIMO communication, Frequency-domain analysis, Finite impulse response filters, Adaptive filters, Transfer functions, Matrix decomposition, Matrices, Equalization, inverse filter, multi-channel systems, MIMO systems
Journal
29
Issue
ISSN
Citations 
1
2329-9290
0
PageRank 
References 
Authors
0.34
25
2
Name
Order
Citations
PageRank
Mark A. Poletti121.56
Paul D. Teal210413.58