The linear-phase IIR filters are described in many cases, mainly due to distortion-free transmission of signals. One of the major problems of IIR filter design is stability, which can be obtained with suitable value of group delay τ . This paper concerns calculation of filter order N and group delay τ in case of quasi-equiripple design of IIR filters. We propose a novel procedure for determinin...

in this paper, we consider a class of time-dependent neutral stochastic evolution equations with the infinite delay and a fractional brownian motion in a hilbert space. we establish the existence and uniqueness of mild solutions for these equations under non-lipschitz conditions with lipschitz conditions being considered as a special case. an example is provided to illustrate the theory

Generally Digital Signal Processing is Mathematical manipulation of the signals. The manipulation parameters may get differ from one technique to another. In this paper IIR Butterworth filters has been designed for various orders to analyze group delay. The developed IIR filters are designed and simulated using matlab with different filter orders. The simulated results shows that IIR filters wi...

A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.

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...

Abstract: The current paper is concerned with the controllability of nonlocal secondorder impulsive neutral stochastic functional integro-differential equations with infinite delay and Poisson jumps in Hilbert spaces. Using the theory of a strongly continuous cosine family of bounded linear operators, stochastic analysis theory and with the help of the Banach fixed point theorem, we derive a ne...

In this paper we consider a periodic non-autonomous competitive stage-structured system with infinite delay for the interaction between n species, the adult members of which are in competition. For each of the n species the model incorporates a time delay which represents the time from birth to maturity of that species. Infinite delay is introduced which denotes the influential effect of the en...

We have developed several results on the existence and asymptotic behavior of nlild solutions to rextiondiffusion systems that have infinite delirys in the nonlinear reaction terms. We find that the semiflow generated by a cooperative and irreducible reaction-tliffilsio system with infinite delay is not compact but set-condcrrsing, ancl not strongly order-preserving but quasi strongly ordc~r-1)...