EVAM: an eigenvector-based algorithm for multichannel blind deconvolution of input colored signals
Abstract
A new algorithm is proposed for the deconvolution of an unknown, possibly colored, Gaussian or nonstationary signal that is observed through two or more unknown channels described by rational system transfer functions. More specifically, not only the root (pole and zero) locations but also the orders of the channel transfer functions are unknown. It is assumed that the channel orders may be overestimated. The proposed algorithm estimates the orders and root locations of the channel transfer functions, therefore it can also be used in multichannel system identification problems. The input signal is allowed to be nonstationary and the channel transfer functions may be a nonminimum phase as well as noncausal, hence the proposed algorithm is particularly suitable for applications such as dereverberation of speech signals recorded through multiple microphones. Several experimental results indicate improvement compared to the existing methods in the literature.>
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The two channel impulse responses h0 and h1 can be uniquely determined (up to a scale and a common delay) from the covariance relation if the polynomials formed from h0 and h1 are coprime and the autocorrelation matrix of the source signal is of full rank.
“It has been shown that the two channel impulse responses (i.e., h 0 and h 1) can be uniquely determined (up to a scale and a common delay) from (32) if the following two conditions hold [56-58]:”
From Time Delay Estimation in Room Acoustic Environments: An Overview (2006) · cites this paper as [58]
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References 13 · Cited by 196
- Authors
- Gurelli, M. I., & Nikias, C. L.
- Affiliations
- University of Southern California (US)
- Venue
- IEEE Transactions on Signal Processing
- Published
- 1995
- Volume
- 43
- Issue
- 1
- Pages
- 134-149
- ISSN
- 1053-587X (ISSN-L)
- OpenAlex
- W2100432131
- Cited by
- 196
- References
- 13
- Citations by year
- 2021: 1 · 2020: 5 · 2019: 5 · 2018: 10 · 2017: 4 · 2016: 5 · 2015: 7 · 2014: 3 · 2013: 5 · 2012: 2
- FWCI
- 10.49
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Signal Processing (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Signal Processing › Blind Source Separation Techniques
- Physical Sciences › Computer Science › Signal Processing › Speech and Audio Processing
- Physical Sciences › Engineering › Computational Mechanics › Advanced Adaptive Filtering Techniques
- Keywords
- multichannel blind deconvolution, colored input signals, non-stationary signals, rational transfer functions, channel order estimation, non-minimum phase channels, dereverberation, speech signals, multiple microphones
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