Abstract | ||
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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 |
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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 |