—The design of digital filters is a fundamental process in the context of digital signal processing. The purpose of this paper is to study the use of lp norms (for 2 < p < ∞) as design criteria for digital filters, and to introduce a set of algorithms for the design of Finite (FIR) and Infinite (IIR) Impulse Response digital filters based on the Iterative Reweighted Least Squares (IRLS) algorit...

Anticausal or time-reversed inversion of digital filters has gained importance in recent years in the implementation of digital filter banks. Anticausal inversion has, in the past, been shown to be possible by using block processing with appropriate state initialization. With (A, B , C , D) denoting the state space description of a structure implementing a filter G(z), the anticausal inverse ca...

In this paper, we present a novel technique for the design of FIR and IIR digital filters. The design approach begins with the specification of a discrete set of arbitrary magnitude and phase characteristics which describe a desired filter response. These frequency domain characteristics are used to create an ideal 'pseudo-filter' whose impulse response is unknown and possibly non-causal, but w...

Explicit solutions are given for the rational function P (z) for two classes of IIR orthogonal two-band wavelet bases, for which the scaling filter is maximally flat. P (z) denotes the rational transfer function H(z)H(1=z), where H(z) is the (lowpass) scaling filter. The first is the class of solutions that are intermediate between the Daubechies and the Butterworth wavelets. It is found that t...

In many signal processing applications, adaptive frequency estimation and tracking of noisy narrowband signals is often required in communications, radar, sonar, controls, biomedical signal processing, and the applications such as detection of a noisy sinusoidal signal and cancellation of periodic signals. In order to achieve the objective of frequency tracking and estimation, an adaptive finit...

In this paper we propose a class of 2D circularly-symmetric filter banks based on a 1D IIR Gaussian prototype. We approach two cases, namely dyadic and uniform filter banks. The Gaussian prototype is obtained using an efficient rational approximation, namely the Chebyshev-Padé approximation. Then, using a frequency transformation, the corresponding 2D filters with circular symmetry are derived....

In this paper, the two dimensional (2D) digital notch filter design problem is investigated. First, we develop a simple algebraic method for 2D IIR notch filter design. This approach not only has closed-form transfer function but also satisfies bounded input bunded output ( ~ 1 ~ 0 ) stability condition. Next, we use Lagrange multiplier method to design 2D FIR notch filters. This design is opti...

in this paper, effect of a single narrow-band interference (NBI) on bit error rate (BER) performance for a binary phase shift keying (BPSK) synchronous direct-sequence code-division multiple access (DS CDMA) communication system operating in a frequency nonselective Rayleigh fading channel is analyzed. Second-order adaptive infinite impulse response (IIR) notch filters with plain gradient algor...

Maximum Likelihood estimation theory can be used to develop optimal timing recovery schemes for digital communication systems. Tunable digital interpolation filters are commonly used for symbol timing adjustment. The so-called gathering structure offers an efficient and flexible realization structure for such an interpolation task. In this paper we propose a feedforward timing estimation scheme...