Title
Closed form variable fractional delay using FFT with transition band trade-off
Abstract
In earlier paper, a conjugate symmetric frequency response has been presented to design the variable fractional delay filter by FFT, and has been proved to associate with the windowed sinc filter. However, this earlier method has no transition band design consideration. Therefore, in this paper, the trade-off between the transition band width and Gibbs phenomenon ripples is discussed, and an improved closed form design with additional transition band samples is introduced to reduce Gibbs phenomenon ripples. The proposed improved fractional delay method can also be efficiently realized by FFT using the tunable fractional delay parameter and transition band weighting factor. Several comparisons between the earlier method and the proposed improved method are also demonstrated. By measuring the largest peak ripple value in magnitude responses, our proposed method can achieve 9.43 times peak ripples reduction than the earlier method.
Year
DOI
Venue
2014
10.1109/ISCAS.2014.6865301
ISCAS
Keywords
Field
DocType
windowed sinc filter,windowing method,peak ripple reduction,peak ripple value,frequency response,fast fourier transform,tunable fractional delay parameter,fractional delay filter,fft,conjugate symmetric frequency response,gibbs phenomenon ripple,transition band trade-off,transition band design consideration,magnitude response,additional transition band sample,transition band weighting factor,delay filters,transition band width,gibbs phenomenon,closed form variable fractional delay method,free energy,fast fourier transforms,passband,interpolation
Gibbs phenomenon,Magnitude (mathematics),Weighting,Frequency response,Control theory,Transition band,Electronic engineering,Fast Fourier transform,Sinc filter,Ripple,Mathematics
Conference
ISSN
Citations 
PageRank 
0271-4302
1
0.38
References 
Authors
9
2
Name
Order
Citations
PageRank
Soo-Chang Pei144946.82
Yun-Chiu Lai2132.12