We consider adaptive periodic IIR ltering and present an extension of the Hyperstable Adaptive Recursive Filter (HARF). We give conditions for convergence of the parameter estimate error, involving passivity of certain operators in the identi cation loop, identi ability of the system parameters, and persistent excitation (pe). A necessary and su cient condition for identi ability is given and s...

-This paper proposes a solution methodology for the design of optimal and stable digital infinite impulse response (IIR) band pass (BP) filter by employing the cat swarm optimization (CSO) algorithm with the incorporation of oppositional learning strategy. The error surface of digital IIR filters is non linear and multimodal because of the presence of the denominator terms. Therefore, the tradi...

Abstract—The design problem of Infinite Impulse Response (IIR) digital filters is usually expressed as the minimization problem of the complex magnitude error that includes both the magnitude and phase information. However, the group delay of the filter obtained by solving such design problem may be far from the desired group delay. In this paper, we propose a design method of stable IIR digita...

This paper presents an application of variable infinite impulse response (IIR) digital filters based on the Constantinides frequency transformation to adaptive filtering. We propose a new unified framework for adaptive detection of narrowband signals using variable band-stop IIR digital filters with arbitrary transfer functions. It is also shown that our proposed method includes the all-pass-ba...

We propose a novel framework for a new class of two-channel biorthogonal filter banks. The framework covers two useful subclasses: i) causal stable IIR filter banks ii) linear phase FIR filter banks. There exists a very effcient structurally perfect reconstruction implementation for such a class. Filter banks of high frequency selectivity can be achieved by using the proposed framework with low...

An analytical design method is proposed for two-dimensional recursive zero-phase wedge filters. It relies on a frequency mapping applied to a 1D IIR low-pass maximally-flat prototype filter of a specified shape. The design is presented in two versions, one entirely analytical, based on the bilinear transform, and another involving a numerical approximation step. This paper focuses on the design...

A class of complementary IIR filters is introduced. One of these filters can be realized as a tapped cascaded interconnection of identical allpass subfilters. The complementary filter is then obtained automatically by adding some extra allpass subfilters and a subtractor. The proposed filters are always allpass complementary and, under certain conditions, also magnitude complementary. Further, ...

of Dissertation Presented to the Graduate School of the University of Florida in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy GLOBAL OPTIMIZATION ALGORITHMS FOR ADAPTIVE INFINITE IMPULSE RESPONSE FILTERS By Ching-An Lai December 2002 Chair: José C. Principe Major Department: Electrical and Computer Engineering The major goal of this dissertation is to develop g...

The perfect linear phase requirement can be achieved only by direct design with an FIR filter at the expense of high filter order and hence high computational burden for the given specification. Alternatively, IIR filters can be designed with much smaller orders than their FIR counterparts, but at the expense of the nonlinear phase. However, it is possible to design almost linear-phase IIR filt...

The eigenfilter method for digital filter design involves the computation of filter coefficients as the eigenvector of an appropriate Hermitian matrix. Because of its low complexity as compared to other methods as well as its ability to incorporate various time and frequency-domain constraints easily, the eigenfilter method has been found to be very useful. In this paper, we present a review of...