Patent
Adaptive filtering system and method for adaptively canceling echoes and reducing noise in digital signals
TLDR
In this article, the authors proposed a system and method for performing spectral analysis of a digital signal having a discrete duration by spectrally decomposing the digital signal at predefined frequencies uniformly distributed over a sampling frequency interval into complex frequency coefficients so that magnitude and phase information at each frequency is immediately available to produce a modulated complex lapped transform (MCLT).Abstract:
The present invention is embodied in a system and method for performing spectral analysis of a digital signal having a discrete duration by spectrally decomposing the digital signal at predefined frequencies uniformly distributed over a sampling frequency interval into complex frequency coefficients so that magnitude and phase information at each frequency is immediately available to produce a modulated complex lapped transform (MCLT). The system includes real and imaginary window processors and real and imaginary transform processors. The real and imaginary window processors receive the input signal and apply and compute butterfly coefficients for the real and imaginary parts of the signal to produce resulting real and imaginary vectors, respectively. The real and imaginary transform processors compute spatial transforms on the real and imaginary vectors to produce real and imaginary transform coefficient of the MCLT, respectively. The MCLT is a biorthogonal spectral transformation system, in the sense that the original time domain signal can be reconstructed exactly by an inverse MCLT operator.read more
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References
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Book
Multirate Systems and Filter Banks
TL;DR: In this paper, a review of Discrete-Time Multi-Input Multi-Output (DIMO) and Linear Phase Perfect Reconstruction (QLP) QMF banks is presented.
Book
Wavelets and Subband Coding
Martin Vetterli,Jelena Kovacevic +1 more
TL;DR: Wavelets and Subband Coding offered a unified view of the exciting field of wavelets and their discrete-time cousins, filter banks, or subband coding and developed the theory in both continuous and discrete time.
Book
Discrete Cosine Transform: Algorithms, Advantages, Applications
TL;DR: This paper presents two Dimensional DCT Algorithms and their relations to the Karhunen-Loeve Transform, and some applications of the DCT, which demonstrate the ability of these algorithms to solve the discrete cosine transform problem.
Book
Signal processing with lapped transforms
TL;DR: Applications of transforms in signal processing signal processing in subbands lapped orthogonal transforms the modulated lapped transform heirarchical lapped transforms applications of lapping transforms.
Journal ArticleDOI
Adaptive filtering in subbands with critical sampling: analysis, experiments, and application to acoustic echo cancellation
A. Gilloire,Martin Vetterli +1 more
TL;DR: In this article, an exact analysis of the critically subsampled two-band modelization scheme is given, and it is demonstrated that adaptive cross-filters between the subbands are necessary for modelization with small output errors.