This paper attempts to demonstrate that a modern optimization methodology known as semidefinite programming (SDP) can be served as the algorithmic core of a unified design tool for a variety of two-dimensional (2-D) digital filters. Representative SDP-based designs presented in the paper include minimax and weighted least-squares designs of FIR filters with continuous and discrete coefficients,...

 A step-by-step algorithm for enhancement of periodic signals that are highly corrupted by additive uncorrelated white gausian noise is proposed. In each adaptation step a new parallel second-order section is added to the previous filters. Every section has only one adjustable parameter, i.e., the center frequency of the self-tuning filter. The bandwidth and the convergence factor of each secti...

One of the main advantages of the linear-phase FIR filters over their IIR counterparts is the fact that there exist efficient algorithms for optimizing the arbitrary-magnitude FIR filters in the minimax sense. In case of IIR filters, the design of arbitrary-magnitude filters is usually time-consuming and the convergence to the optimum solution is not always guaranteed. The most efficient method...

The research on optimal design of Infinite-impulse response (IIR) filter design based on various optimization techniques including evolutionary algorithms EA’s, has gained much attention in recent years. Previously, digital IIR filter’s parameters are encoded using floating point representation. Fixed point representation are used for encoding of digital IIR filter’s parameters because it effec...

—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...

Many digital signal processing (DSP) systems tend to have a very high computational complexity when they target a large part of the Nyquist band. This corresponds to a wide-band system with one or several so called don’t-care bands approaching zero. Examples of such systems include frequency selective filters, fractional-delay filters, and differentiators. This chapter considers finite-length i...

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...