The design of FIR filters in the complex plane by convex optimization
Signal Processing
Design of Nonlinear Phase FIR Digital Filters Using Quadratic Programming
ICASSP '97 Proceedings of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '97)-Volume 3 - Volume 3
A multiple exchange algorithm for constrained design of FIR filters in the complex domain
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 03
Optimal design of nonlinear-phase FIR filters with prescribed phase error
IEEE Transactions on Signal Processing
Optimal design of complex FIR filters with arbitrary magnitude and group delay responses
IEEE Transactions on Signal Processing
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The group delay of a linear-phase FIR filter is about half of its length. Existing methods for low group-delay FIR filter design usually result in large group delay error, noticeably towards the bandedges. Recently, Lai [2] presented a constrained least-squares design method that can specify both magnitude-error and phase-error upper bounds. Reduced group-delay error can be obtained by using a sigmoid phase-error upper-bound function in the method. In this paper, we improve the method by using a modified complex approximation error, such that we can more flexibly specify the magnitude and phase errors, and smaller magnitude error can be obtained under the same phase-error constraint. A multiple-exchange algorithm is used to solve the complex-error and phase-error constrained least-squares design problem. Through design examples, the proposed design method is compared with several existing method. Design examples demonstrate the effectiveness the proposed method.