scholarly journals Comparison of Circular Symmetric Low-Pass Digital IIR Filter Design Using Evolutionary Computation Techniques

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1226 ◽  
Author(s):  
Omar Avalos ◽  
Erik Cuevas ◽  
Jorge Gálvez ◽  
Essam H. Houssein ◽  
Kashif Hussain
Keyword(s):  
Evolutionary Computation ◽  
Transfer Functions ◽  
Filter Design ◽  
Statistical Treatment ◽  
Optimization Methods ◽  
Intelligence Community ◽  
Infinite Impulse Response ◽  
Iir Filters ◽  
Iir Filter ◽  
Wide Range

The design of two-dimensional Infinite Impulse Response (2D-IIR) filters has recently attracted attention in several areas of engineering because of their wide range of applications. Synthesizing a user-defined filter in a 2D-IIR structure can be interpreted as an optimization problem. However, since 2D-IIR filters can easily produce unstable transfer functions, they tend to compose multimodal error surfaces, which are computationally difficult to optimize. On the other hand, Evolutionary Computation (EC) algorithms are well-known global optimization methods with the capacity to explore complex search spaces for a suitable solution. Every EC technique holds distinctive attributes to properly satisfy particular requirements of specific problems. Hence, a particular EC algorithm is not able to solve all problems adequately. To determine the advantages and flaws of EC techniques, their correct evaluation is a critical task in the computational intelligence community. Furthermore, EC algorithms are stochastic processes with random operations. Under such conditions, for obtaining significant conclusions, appropriate statistical methods must be considered. Although several comparisons among EC methods have been reported in the literature, their conclusions are based on a set of synthetic functions, without considering the context of the problem or appropriate statistical treatment. This paper presents a comparative study of various EC techniques currently in use employed for designing 2D-IIR digital filters. The results of several experiments are presented and statistically analyzed.

scholarly journals Higher Order Optimal Stable Digital IIR Filter Design Using Heuristic Optimization

10.28945/2222 ◽  
2015 ◽  
Author(s):  
Balraj Singh Sidhu ◽  
J. S. Dhillon
Keyword(s):  
Filter Design ◽  
Approximation Error ◽  
Search Space ◽  
Higher Order ◽  
Design Criterion ◽  
Design Parameters ◽  
Infinite Impulse Response ◽  
Search Technique ◽  
Iir Filters ◽  
Iir Filter

This paper proposes the innovative methodologies for the robust and stable design of optimal stable digital infinite impulse response (IIR) filters using different mutation variants of hybrid differential evolution (HDE). A multivariable optimization is employed as the design criterion to obtain the optimal stable IIR filter that satisfies the different performance requirements like minimizing the magnitude approximation error and minimizing the ripple magnitude. HDE method is undertaken as a global search technique and exploratory search is exploited as a local search technique. The proposed different mutation variants of HDE method enhance the capability to explore and exploit the search space locally as well globally to obtain the optimal filter design parameters. The chance of starting with better solution is improved by comparing the opposite solution. Here HDE has been effectively applied for the design of higher order optimal stable band-pass, and band-stop digital IIR filters. The experimental results depict that proposed HDE methods are superior or at least comparable to other algorithms and can be efficiently applied for higher order IIR filter design.

scholarly journals CSD-Coded Genetic Algorithm on Robustly Stable Multiplierless IIR Filter Design

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Shing-Tai Pan
Keyword(s):  
Genetic Algorithm ◽  
Optimal Design ◽  
Robust Stability ◽  
Filter Design ◽  
Design Procedure ◽  
Infinite Impulse Response ◽  
Iir Filters ◽  
System Parameters ◽  
Iir Filter ◽  
Canonic Signed Digit

A Canonic-Signed-Digit-(CSD-) coded genetic algorithm (GA) is proposed to find the optimal design of robustly stable infinite impulse response digital filter (IIR). Under the characteristics of the CSD structure, the circuit of the filter can be simplified and also the calculation speed can be raised to increase the hardware’s efficiency. However, the design of CSD has a big challenge: the CSD structure of the system parameters will be destroyed by an optimal design procedure. To solve this problem, in this research a CSD-coded GA is proposed so that the CSD structure can be maintained. Moreover, the robustly stable IIR filters design problem is included in this paper. The robustness of the IIR filters is achieved by ensuring that all poles of the filters are located inside a diskD(α,r)contained in the unit circle, in whichαis the center,ris the radius of the disk, and|α|+r<1. Consequently, in this paper, a new and more efficientD(α,r)-stability criterion will be derived and then embedded in GA for the design of robust IIR filters. It is worthwhile to note that to design an IIR filter simultaneously with CSD-structured parameters and robust stability is difficult and is not well explored so far. An example will be presented to show the efficiency of the proposed strategy for design of IIR filters.

scholarly journals An Efficient Constrained Learning Algorithm for Stable 2D IIR Filter Factorization

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Nicholas Ampazis ◽  
Stavros J. Perantonis
Keyword(s):  
Neural Network ◽  
Optimization Algorithm ◽  
Network Optimization ◽  
Transfer Functions ◽  
Learning Algorithm ◽  
Neural Network Optimization ◽  
Iir Filters ◽  
Iir Filter ◽  
Constrained Learning ◽  
The Stability

A constrained neural network optimization algorithm is presented for factorizing simultaneously the numerator and denominator polynomials of the transfer functions of 2-D IIR filters. The method minimizes a cost function based on the frequency response of the filters, along with simultaneous satisfaction of appropriate constraints, so that factorization is facilitated and the stability of the resulting filter is respected.

scholarly journals IIR Filter Design Using African Buffalo Optimization

2020 ◽  
pp. 95-99
Author(s):  
Jaishankar B ◽  
Govindaraj V ◽  
Sri kanth
Keyword(s):  
Signal Processing ◽  
Filter Design ◽  
Search Algorithm ◽  
Phase Error ◽  
Signal Amplitude ◽  
Performance Outcomes ◽  
Infinite Impulse Response ◽  
Modern World ◽  
African Buffalo ◽  
Iir Filter

In the modern world, the digital signal processing embeds more in real time applications. Several researchers focused on filtering process to identify the limitation in traditional methods. In this article, the meta-heuristic algorithm is deployed for optimizing infinite impulse response (IIR) filter design. The traditional IIR filter results create computational complexity and its performance is worse in the case of a noisy environment. In signal processing, IIR plays several roles in filtering and monitoring the signal amplitude. The African Buffalo Optimization (ABO) is quite easy for implementation and its performance outcomes solved many problems in various domains. Hence, it is selected for solving IIR filter problems for obtaining optimal filter coefficients. Initially, IIR filter is designed for different orders under ABO concept. The ABO based IIR filter’s performance is superior to those obtained by Genetic Algorithm and cuckoo search algorithm. The proposed method’s performance result proves that it has a smaller magnitude error and phase error with fast convergence rate.

scholarly journals Meta-heuristic techniques for optimal design of analog and digital filter

2020 ◽  
Vol 19 (2) ◽  
pp. 669
Author(s):  
El Beqal Asmae ◽  
Kritele Loubna ◽  
Benhala Bachir ◽  
Zorkani Izeddine
Keyword(s):  
Optimal Design ◽  
Filter Design ◽  
Analog Filters ◽  
Infinite Impulse Response ◽  
Band Pass Filter ◽  
Pass Filter ◽  
Iir Filter ◽  
Design Error ◽  
Heuristic Techniques ◽  
Band Pass

In this paper, two Meta-heuristic techniques; namely Ant Colony Optimization (ACO) and Genetic Algorithm (GA) have been applied for the optimal design of digital and analog filters. Those techniques have been used to solve multimodal optimization problem in Infinite Impulse Response (IIR) filter design and to select the optimal component values from industrial series as well as to minimize the total design error of a 2nd order Sallen-Key active band-pass filter, also a comparison between the performances reached by those two Meta-heuristics was made in this article.

Digital Stable IIR Band Pass Filter Design Using Seeker Optimization Technique

2014 ◽  
Vol 905 ◽  
pp. 406-410 ◽  
Author(s):  
S.K. Saha ◽  
Rajib Kar ◽  
D. Mandal ◽  
S.P. Ghoshal
Keyword(s):  
Filter Design ◽  
Fitness Function ◽  
Stop Band ◽  
Infinite Impulse Response ◽  
Pass Band ◽  
Band Pass Filter ◽  
Pass Filter ◽  
Iir Filter ◽  
Real Coded Genetic Algorithm ◽  
Band Pass

This paper presents a novel, control parameter independent evolutionary search technique known as Seeker Optimization Algorithm (SOA) for the design of a eighth order Infinite Impulse Response (IIR) Band Pass (BP) filter. A new fitness function has also been adopted in this paper to improve the stop band attenuation to a great extent. The performance of the SOA based IIR BP filter design has proven to be much superior as compared to those obtained by real coded genetic algorithm (RGA) and standard particle swarm optimization (PSO) in terms of highest sharpness at cut-off, smallest pass band ripple, highest stop band attenuation, smallest stop band ripple and also the fastest convergence speed with assured stability recognized by the pole-zero analysis of the designed optimized IIR filter.

A second order s-to-z transform and its implementation to IIR filter design

2014 ◽  
Vol 33 (5) ◽  
pp. 1831-1843 ◽  
Author(s):  
Dejan Mirković ◽  
Predrag Petković ◽  
Vančo Litovski
Keyword(s):  
Digital Filters ◽  
Group Delay ◽  
Transfer Functions ◽  
Filter Design ◽  
Second Order ◽  
Pass Band ◽  
Content Type ◽  
Iir Filter ◽  
Band Group ◽  
Iir Digital Filters

Purpose – The purpose of this paper is to design a tool for IIR digital filters obtained from analog prototypes, which preserves simultaneously the amplitude and the group delay response. Design/methodology/approach – A new s-to-z transform is developed based on a second order formula used for numerical integration of differential equations. Stability of the newly obtained transfer functions in the z-domain is proved to be preserved. Distortions introduced by the new transform into the original amplitude and group delay responses are studied. Findings – The new formula, when implemented to all-pole prototypes, exhibits lower selectivity than the original while reducing the pass-band group delay distortions. In the same time its structure is importantly simpler than the functions obtained by the well-known bilinear transform. When implemented to a prototype having “all kinds” of transmission zeros the resulting filter has almost ideally the same characteristic as the prototype. Research limitations/implications – The new transform may be used exclusively to synthesize even order filters. The new function is twice the order of the analog prototype. This kind of transformations are used to design IIR digital filters only. Low-pass transfer functions were studied being prototypes for all other cases. Originality/value – This is a new result never mentioned in the literature. Its effectiveness is confined to a niche problem when simultaneous sharp selectivity and low group delay distortions are sought.

scholarly journals Transformations for FIR and IIR Filters’ Design

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 533
Author(s):  
V. N. Stavrou ◽  
I. G. Tsoulos ◽  
Nikos E. Mastorakis
Keyword(s):  
Impulse Response ◽  
Transfer Functions ◽  
Finite Impulse Response ◽  
Transformation Method ◽  
Optimization Techniques ◽  
Infinite Impulse Response ◽  
Two Dimensional ◽  
Bilinear Transformation ◽  
One Dimensional ◽  
Iir Filters

In this paper, the transfer functions related to one-dimensional (1-D) and two-dimensional (2-D) filters have been theoretically and numerically investigated. The finite impulse response (FIR), as well as the infinite impulse response (IIR) are the main 2-D filters which have been investigated. More specifically, methods like the Windows method, the bilinear transformation method, the design of 2-D filters from appropriate 1-D functions and the design of 2-D filters using optimization techniques have been presented.

scholarly journals Design of One-Dimensional Linear Phase Digital IIR Filters Using Orthogonal Polynomials

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
Vinay Kumar ◽  
Sunil Bhooshan
Keyword(s):  
Orthogonal Polynomials ◽  
Impulse Response ◽  
Phase 1 ◽  
Infinite Impulse Response ◽  
Linear Phase ◽  
One Dimensional ◽  
Iir Filters ◽  
Iir Filter ◽  
Amplitude Characteristics ◽  
Zeros And Poles

In the present paper, we discuss a method to design a linear phase 1-dimensional Infinite Impulse Response (IIR) filter using orthogonal polynomials. The filter is designed using a set of object functions. These object functions are realized using a set of orthogonal polynomials. The method includes placement of zeros and poles in such a way that the amplitude characteristics are not changed while we change the phase characteristics of the resulting IIR filter.

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