Title
Oversampled DFT-Modulated Biorthogonal Filter Banks: Perfect Reconstruction Designs and Multiplierless Approximations
Abstract
We propose a novel methodology for designing oversampled discrete Fourier transform-modulated uniform filter banks. The analysis prototype is designed as a Nyquist filter, whereas the synthesis prototype is designed to guarantee perfect reconstruction (PR) considering oversampling. The resulting optimization problem fits into the disciplined convex programming framework, as long as some convex objective function is employed, as the minimization of either the stop-band energy or the maximum deviation from a desired response. The methodology also accounts for near-PR multiplierless approximations of the prototype analysis and synthesis filters, whose coefficients are obtained in the sum-of-power-of-two (SOPOT) space. The quantized coefficients are computed using successive approximation of vectors, which is able to yield filters with a reduced number of SOPOT coefficients in a computationally efficient manner. The proposed methodology is especially appealing for supporting actual hardware deployments, such as modern digital transparent processors to be used in next-generation satellite payloads.
Year
DOI
Venue
2020
10.1109/TCSII.2019.2962462
IEEE Transactions on Circuits and Systems II: Express Briefs
Keywords
DocType
Volume
Biorthogonal uniform filter banks (FBs),DFT-modulated FBs,oversampling,perfect reconstruction,multiplierless filters,disciplined convex programming
Journal
67
Issue
ISSN
Citations 
11
1549-7747
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Wallace A. Martins114.07
M. R. Bhavani Shankar219026.57
Björn E. Ottersten36418575.28