Low-Complexity Design of Variable Bandedge Linear Phase FIR Filters With Sharp Transition Band

This paper presents a very low-complexity design of variable bandedge linear phase finite-impulse-response (FIR) filters with fixed sharp transition width. The idea is to first decompose the input signal into several channels in the frequency domain. The channel(s) involved with the transition band...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2009-04, Vol.57 (4), p.1328-1338
Main Authors: Ya Jun Yu, Ya Jun Yu, Yong Ching Lim, Yong Ching Lim, Dong Shi, Dong Shi
Format: Article
Language:English
Subjects:
Applied sciences
Band pass filters
Banded structure
Channels
Complexity
Computational complexity
Cutoff frequency
Detection, estimation, filtering, equalization, prediction
Digital filters
Exact sciences and technology
Fast filter bank
Filter bank
Finite impulse response filter
FIR filters
Frequency domain analysis
Frequency domains
Frequency response
frequency-response masking
Information, signal and communications theory
Linear phase
Miscellaneous
Nonlinear filters
Prototypes
Ripples
Signal and communications theory
Signal processing
Signal, noise
Specifications
Telecommunications and information theory
variable digital filters
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Summary:This paper presents a very low-complexity design of variable bandedge linear phase finite-impulse-response (FIR) filters with fixed sharp transition width. The idea is to first decompose the input signal into several channels in the frequency domain. The channel(s) involved with the transition band of the variable filter due to the variation of the bandedge is (are) shaped to produce the required transition band, and then summed up with the channels involved with the passband of the variable filter to produce the required frequency response. The proposed variable filter has extremely low complexity when the transition band is sharp, if compared with other techniques such as the Farrow structure. It is possible that the computational complexity of the variable filter is even lower than that of a corresponding fixed filter with the same transition width and ripple specifications implemented in its direct form.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2008.2010597