Abstract | ||
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We propose an efficient algorithm for designing the prototype filters of oversampled, near-perfect reconstruction (NPR), GDFT modulated filterbanks (FB) with arbitrary delay. We describe simplified conditions for imposing NPR, posed on the frequency response of the distortion transfer function and on the stopband attenuation of the prototype filters. Given the analysis prototype, we show that the minimization of the stopband energy of the synthesis prototype, subject to the simplified NPR constraints, can be expressed as a convex optimization problem. Our algorithm consists of initialization with the prototype of a near-orthogonal FB—which can also be designed via convex optimization—and then successive optimization of the synthesis and analysis prototypes. We give design examples, discuss the properties of the obtained FBs, and present synthetic echo control experiments. The presented results show that, for a given delay, our algorithm produces FBs with significantly better properties than the near-orthogonal FBs. |
Year | DOI | Venue |
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2006 | 10.1155/ASP/2006/42961 | EURASIP Journal on Advances in Signal Processing |
Keywords | Field | DocType |
npr gdft filterbanks,npr constraint,near-orthogonal fbs,convex optimization,arbitrary delay,simplified design,convex optimization problem,analysis prototype,successive optimization,efficient algorithm,synthesis prototype,prototype filter,minimisation,algorithm design and analysis,signal reconstruction,distortion,frequency response,signal processing,passband,transfer function,transfer functions,adaptive filters,finite impulse response filter,prototypes | Mathematical optimization,Computer science,Prototype filter,Filter bank,Transfer function,Initialization,Biorthogonal system,Distortion,Convex optimization,Signal reconstruction | Journal |
Volume | Issue | ISSN |
2006 | 1 | 1687-6180 |
ISBN | Citations | PageRank |
0-7803-8874-7 | 6 | 0.47 |
References | Authors | |
14 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Bogdan Dumitrescu | 1 | 107 | 22.76 |
Robert Bregovic | 2 | 148 | 18.84 |
Tapio Saramäki | 3 | 189 | 28.09 |
BregovićRobert | 4 | 6 | 0.47 |