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 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.

TWO-DIMENSIONAL IIR FILTER DESIGN WITH MODERN SEARCH HEURISTICS: A COMPARATIVE STUDY

2006 ◽  
Vol 06 (03) ◽  
pp. 329-355 ◽  
Author(s):  
SWAGATAM DAS ◽  
AMIT KONAR
Keyword(s):  
Filter Design ◽  
Computational Cost ◽  
Search Space ◽  
Global Search ◽  
Infinite Impulse Response ◽  
Two Dimensional ◽  
Iir Filter ◽  
De Algorithm ◽  
Search Heuristics ◽  
Real Coded Genetic Algorithm

In the past few years, there has been a massive growth in the field of biologically inspired global search heuristics. Computational cost having been reduced almost dramatically, researchers from all corners are taking more interset in following the underlying principles of nature to solve nearly intractable search problems. In this paper, we attempt to solve one very important optimization problem arising in the field of two-dimensional IIR (infinite impulse response) filter design, with three naturally inspired global search algorithms. We have used a state-of-the-art real coded genetic algorithm (GA), one very recent and modified version of the particle swarm opimization (PSO) and finally an improved version of the differential evolution (DE) algorithm. The DE algorithm has been modified by us to prevent its premature convergence to some suboptimal region of the search space. The design task is formulated as a constrained minimization problem and solved by the three metaheuristics. Numerical results are presented over three difficult instances of the design problem. The study also compares the results with two recently published filter design methods. Our experiments reveal that the DE family of algorithms should receive primary attention in solving the constrained multidimensional filter design tasks.

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 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.

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.

scholarly journals Performance Investigation of Digital Lowpass IIR Filter Based on Different Platforms

2021 ◽  
Vol 12 (2) ◽  
pp. 105-111
Author(s):  
Raaed Faleh Hassan
Keyword(s):  
Integrated Circuit ◽  
High Speed ◽  
Filter Design ◽  
Basic Unit ◽  
Infinite Impulse Response ◽  
Design Algorithm ◽  
System Generator ◽  
Iir Filter ◽  
Hardware Description ◽  
And Performance

The work presented in this paper illuminates the design and simulation of a recursive or Infinite Impulse Response (IIR) filter. The proposed design algorithm employs the Genetic Algorithm to determine the filter coefficients to satisfy the required performance. The effectiveness of different platforms on filter design and performance has been studied in this paper. Three different platforms are considered to implement and verify the designed filter’s work through simulation. The first platform is the MATLAB/SIMULINK software package used to implement the Biquad form filter. This technique is the basis for the software implementation of the designed IIR filter. The HDL – Cosimulation technique is considered the second one; it inspired to take advantage of the existing tools in SIMULINK to convert the designed filter algorithm to the Very high-speed integrated circuit Hardware Description Language (VHDL) format. The System Generator is employed as the third technique, in which the designed filter is implemented as a hardware structure based on basic unit blocks provided by Xilinx System Generator. This technique facilitates the implementation of the designed filter in the FPGA target device. Simulation results show that the performance of the designed filter is remarkably reliable even with severe noise levels.

scholarly journals Optimised Design and Implementation of Band-Pass Filter for Neural Recording System

2020 ◽  
Vol 8 (5) ◽  
pp. 1821-1826
Keyword(s):  
Power Consumption ◽  
Filter Design ◽  
Signal To Noise Ratio ◽  
Infinite Impulse Response ◽  
Band Pass Filter ◽  
Pass Filter ◽  
Significant Saving ◽  
Iir Filter ◽  
Band Pass ◽  
Neural Recording System

In this paper, an eight order efficient digital infinite impulse response filter is designed to improve the signal to noise ratio (SNR) and minimise the hardware and power consumption. For this task, an optimisation method has been adapted to reduce the root mean square error and hardware usage. The filter has been designed and analysed using Matlab and Modelsim, the implementation has been synthesis on Xilinx Spartan 3E-100 (xc3s100e) field-programmable gate array board. Moreover, an optimisation process using parallel algorithm has bee adapted for further reduction in the hardware area and power consumption. The results show the Band Pass Filter effectively functions in real time recording application with significant improvement in the SNR which could achieve high-velocity selective resolution. The present work offers a structure of implementing a band-pass filter on FPGAs using a nonlinear digital filter shows a significant saving of 25.4% in power consumption and 29.9% of the hardware size comparing with the latest algorithm of IIR filter design. Consequently, this is an essential development to enhance the neural signals to be adopted as reference or control signals in artificial limbs devices.

scholarly journals WAVELET TRANSFORMS GENERATED BY SPLINES

2007 ◽  
Vol 05 (02) ◽  
pp. 257-291 ◽  
Author(s):  
AMIR Z. AVERBUCH ◽  
VALERY A. ZHELUDEV
Keyword(s):  
Wavelet Transforms ◽  
Scaling Function ◽  
Infinite Impulse Response ◽  
Scaling Functions ◽  
Biorthogonal Wavelet ◽  
Iir Filters ◽  
Iir Filter ◽  
New Family ◽  
Even Order ◽  
Prediction Filter

In this paper, we design a new family of biorthogonal wavelet transforms that are based on polynomial and discrete splines. The wavelet transforms are constructed via lifting steps, where the prediction and update filters are derived from various types of interpolatory and quasi-interpolatory splines. The transforms use finite and infinite impulse response (IIR) filters and are implemented in a fast lifting mode. We analyze properties of the generated scaling functions and wavelets. In the case when the prediction filter is derived from a polynomial interpolatory spline of even order, the synthesis scaling function and wavelet are splines of the same order. We formulate conditions for the IIR filter to generate an exponentially decaying scaling function.

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