Design of IIR linear-phase nonuniform-division filter banks with signed powers-of-two coefficients.

*(English)*Zbl 1190.93059Summary: This paper deals with the minimax design of two-channel Linear-Phase (LP) Nonuniform-Division Filter (NDF) banks using Infinite Impulse Response (IIR) Digital All-Pass Filters (DAFs) with Signed Powers-of-Two (SPT) coefficients. Based on the theory of two-channel NDF banks using two IIR DAFs, the design problem is appropriately formulated to result in an appropriate Chebyshev approximation for the desired phase responses of the IIR DAFs. Through a frequency sampling and iterative approximation method, the optimization problem for finding the SPT coefficients for the IIR DAFs can be solved by utilizing a weighted least-squares approach in conjunction with a coordinate rotational digital computer (CORDIC) algorithm. The resulting two-channel SPT coefficient NDF banks can possess approximately LP response without magnitude distortion. Several simulation examples are presented for illustration and comparison.

##### MSC:

93C80 | Frequency-response methods in control theory |

93C95 | Application models in control theory |

90C47 | Minimax problems in mathematical programming |

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\textit{J.-H. Lee} et al., Int. J. Circuit Theory Appl. 37, No. 7, 811--834 (2009; Zbl 1190.93059)

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