FIR digital filters with least-squares stopbands subject to peak-gain constraints

Design of stable IIR digital filters with equiripple passbands and peak-constrained least-squares stopbands

“…It is known that [12] with properly chosen weight becomes equiripple in the passband if (5) Note that the denominator polynomial in (1) has the form with (6) This form of is convenient to reflect the fact that assigning a certain number of zeros at the origin may be beneficial for the design of several types of digital filters [18]. Note that the number of parameters contained in is which can vary from zero to depending on how many poles of one wishes to assign to the origin.…”

“…In the sequel, we shall use a piecewise-constant weighting function for for (12) With a sufficiently large and a set of amplitude constraints on the filter obtained becomes nearly equiripple in the passband region [12].…”

“…A class of finite impulse response (FIR) filters with equiripple passband and peak-constrained least-square stopband (EPPCLSS) has been investigated in detail by Adams, et al [12]- [15]. This brief describes an algorithmic development for the design of stable infinite impulse response (IIR) digital filters with EPPCLSS, using an iterative quadratic programming (QP) approach initiated in [16].…”

A Method of Genetic Algorithm (GA) for FIR Filter Construction: Design and Development with Newer Approaches in Neural Network Platform

“…We use the exponential decease function to weight the suitability of becoming a new parent. When initiating the first parent use a pure delay of half the FIR filter length an impulse at position of the FIR filter taps and the rest of the taps at zero [9], [10]. Now we have to create a function where a desired frequency response and the length of the FIR filter are taken as input parameters.…”

Application of Distortion Reduction in FIR Filters in Dynamic Systems through Computational Methods

“…As a result of many computational applications requiring frequent changes in their functionality or an increase in behavioral flexibility, it is often possible to rapidly built prototypes for digital systems. In this article, we seek to develop an FIR digital filter from a modified Hamming window (1), wherein the computer system is based on a queue where the first elements inserted are the first to be removed (FIFO).…”