Short Communication 
Comparative Study of Non-uniform Frequency Sampling Method in Equiripple Digital Filter Design
J.S. Wang, J.Y. Hua, D.M. Gu, W.K. Kuang and X.T. Yu
Information Technology Journal, 2013, 12(4), 875-879.
Abstract
The key for the Finite Impulse Response (FIR) filter with equiripple characteristic is adjusting the extreme fluctuation of the frequency response in an appropriate way. Therefore, this study utilizes the non-uniform frequency sampling technology to control the extreme fluctuation in the frequency response, and exploits the iterative least-squares scheme to find the good solution. The proposed algorithm directly suppresses the fluctuation at the extremum of frequency response in an iterative way, finally leading to nearly equiripple filters. Note in such process, the extremum of frequency response is found by solving the nonlinear function through Newton’s iteration. Simulations show that the proposed method results in a nearly equiripple fluctuation of frequency response in the passband and stopband, while the iteration number and computation complexity are significantly reduced, thus, it is more suitable for real-world applications.
ASCI-ID: 28-1822
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