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Design of digital all-pass filters using a weighted least squares approach

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2 Author(s)
Charng-Kann Chen ; Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan ; Ju-Hong Lee

This paper considers the minimax design of digital all-pass filters via the FIR and IIR approximations. For the FIR digital all-pass filter design, the problem is appropriately formulated so that a recently-developed weighted least squares (WLS) algorithm can be used to efficiently solve the associated minimization problem. We also design FIR digital all-pass filters using the WLS algorithm to have equiripple group delay error. For the IIR digital all-pass filter design, we reformulate the design problem to result in a simple minimization problem. Therefore, a nonlinear minimax algorithm can be employed to obtain the solution. The key operation of the nonlinear minimax algorithm is to find the Chebyshev approximation of a desired function from a linear subspace. This can be efficiently solved by using the WLS algorithm. Several design examples demonstrating the effectiveness of the proposed approaches are also provided

Published in:

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing  (Volume:41 ,  Issue: 5 )