This paper presents a two-stage approach for designing an infinite impulse response (IIR) notch filter. First, the numerator of the transfer function of the IIR notch filter is obtained by placing the zeros at the prescribed notch frequencies. Then, the denominator polynomial is determined by using an iterative scheme in which the optimal pole placements are found by solving a standard quadratic programming problem. For stability, the pole radius in the single notch filter design is specified by the designer, and in the multiple notch filter design, the pole radius is constrained by using the implications of Rouche's theorem. Examples are included to illustrate the effectiveness of the proposed techniques.

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Stable IIR notch filter design with optimal pole placement

Fast analytical design procedures for finite impulse response (FIR) maximally flat (MF) and optimal equiripple (ER) notch filters are introduced. The closed form solution provides recursive computation of the impulse response coefficients of the filter. The ER FIR filters are optimal in the Chebyshev sense. The relation between the MF and ER notch filter is presented in order to emphasize the superior performance of the ER narrow-band filters over their MF counterparts. The discrete nature of the notch frequency in both filter types is emphasized. Four design examples are included to demonstrate the efficiency of the presented approach.

Fast analytical design algorithms for FIR notch filters

A new method for the design of multiple notch fitters is presented using an all-pass filter of order 2N, N being the number of notch frequencies. The all-pass filter is realized as a cascade of N second-order all-pass sections. Besides meeting the notch frequency specifications exactly, the method ensures that the realized 3-dB bandwidths are lower than those specified. Illustrative examples are given.

Design of IIR multiple notch filters based on all-pass filters

Digital linear phase notch filter design based on IIR all-pass filter application

Differential pulse-code modulation (DPCM) has found many applications in both intraframe and interframe coding of images. To improve its performance, several adaptive techniques have been introduced, but they make the resulting DPCM systems very complicated. In this work, we introduce a nonlinear scheme of predictive coding to exploiting spatial redundancy and amplitude redundancy of images based on the characteristics of the human visual system. The proposed scheme consists of a novel nonlinear algorithm to generate new information and a new compandor model of uniform quantization. >

A novel DPCM algorithm using a nonlinear operator

This paper investigates some approaches for designing one-dimensional linear phase finite-duration impulse-responses (FIR) notch filters, which are based on the modification of several established design techniques of linear phase FIR band-selective filters Based on extensive design examples and theoretical analysis, formulae have been developed for estimating the length of a linear phase FIR notch filter meeting the given specifications In addition, the design of two-dimensional linear phase FIR notch filters is briefly considered Illustrative examples are included

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Hrvoje Babic

Papers

Design of linear phase FIR notch filters