Title
Cosine-modulated filterbanks based on extended Gaussian functions
Abstract
A new family of cosine-modulated filterbanks based on functions called extended Gaussian functions (EGFs) is obtained. The design is particularly simple since it is mainly based on a closed-form expression. Nearly perfect reconstruction cosine-modulated filterbanks are obtained as well as guidelines to estimate the filterbank parameters. This analytical design method can be used to produce, with a controlled accuracy, filterbanks with practically no upper limitations in the number of coefficients and subbands. Furthermore, a slight modification of the prototype filter coefficients is sufficient to satisfy exactly the perfect reconstruction constraints. An analysis of the time-frequency localization of the discrete prototype filters also shows that under certain conditions, EGF prototypes are at less than 0.3% from the optimal upper bound
Year
DOI
Venue
2000
10.1109/78.875463
IEEE Transactions on Signal Processing
Keywords
Field
DocType
cosine-modulated filterbanks,upper limitation,prototype filter coefficient,certain condition,perfect reconstruction constraint,analytical design method,gaussian function,perfect reconstruction,discrete prototype filter,egf prototype,extended gaussian function,frequency,time frequency analysis,closed form solution,design optimization,closed form expression,gaussian processes,prototypes,upper bound,parameter estimation,satisfiability,design method,speech,time frequency,design methodology
Trigonometric functions,Control theory,Upper and lower bounds,Prototype filter,Filter bank,Filter (signal processing),Algorithm,Speech recognition,Gaussian,Gaussian process,Mathematics,Signal reconstruction
Journal
Volume
Issue
ISSN
48
11
1053-587X
Citations 
PageRank 
References 
52
6.10
6
Authors
2
Name
Order
Citations
PageRank
P. Siohan150137.86
C. Roche2526.10