Min-Max Approximation of Transfer Functions With Application to Filter Design

2015 ◽  
Vol 63 (1) ◽  
pp. 31-40 ◽  
Author(s):  
Xianwei Li ◽  
Huijun Gao
2004 ◽  
Vol 126 (1) ◽  
pp. 215-219 ◽  
Author(s):  
Tarunraj Singh

The focus of this paper is on the design of jerk limited input shapers (time-delay filters). Closed form solutions for the jerk limited time-delay filter for undamped systems is derived followed by the formulation of the problem for damped systems. Since the jerk limited filter involves concatenating an integrator to a time-delay filter, a general filter design technique is proposed where smoothing of the shaped input can be achieved by concatenating transfer functions of first order, harmonic systems, etc.


Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1226 ◽  
Author(s):  
Omar Avalos ◽  
Erik Cuevas ◽  
Jorge Gálvez ◽  
Essam H. Houssein ◽  
Kashif Hussain

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.


1980 ◽  
Vol 16 (1) ◽  
pp. 21 ◽  
Author(s):  
V.S. Stojanović ◽  
V.D. Pavlović

Author(s):  
Dejan Mirković ◽  
Predrag Petković ◽  
Vančo Litovski

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.


2021 ◽  
Vol 9 ◽  
Author(s):  
L Mohana Kannan ◽  
◽  
Deepa D ◽  

The main aim of this approach is to improve the design model of filters for optimal circuit design. The objective of this proposed method is to improve the performance of VLSI circuit like area, power, and delay. In recent days, the filters are most applicable designs in DSP, medical diagnosis and arithmetic computations. In Digital Signal Processing and communication applications, the FIR filter plays an important role. The Finite Impulse Response is designed with number of adders, multipliers, subtraction units, transfer functions and delay elements. The VLSI circuits are applied in various applications, but the number adders and multipliers occupy the design space since it increases the area and delay factors. The main aim is to reduce the number of adders and multiplier by various computational algorithms. The existing research work uses carry save accumulator with ripple carry adder and binary multiplier. In proposed method, the enhanced Vedic multiplication logic and improved carry lookahead adder logic improves the result. In Vedic multiplication algorithm, the number of adder logic is minimized by adding speculative Brent-kung adder logic in it. The fastest adder in VLSI circuit is CLA (Carry look ahead adder logic), which is improved by utilizing the result of reduced power consumption and delay. In this proposed research work, the power optimization is done by using enhanced clock gating technique. Here, area, power, and delay factors are measured and it is compared with conventional FIR filter design. The proposed method improves the result in the way of area, power, and delay. The whole FIR filter structure is designed and power optimized by connecting with an enhanced clock gating technique. This proposed design and simulate by using Xilinx ISE 14.5 and it is synthesize by ModelSim.


2011 ◽  
Vol 222 ◽  
pp. 372-375
Author(s):  
Yosuke Tatekura ◽  
Yusuke Honda ◽  
Takayoshi Nakai

This paper introduces an automatic decision method for designing parameters of inverse filters to simplify realization of a high-performance sound reproduction system. The reproduced performance depends on several design parameters of the inverse filters that cancel the effect of room transfer functions (RTFs). Therefore, a method of determining the sample lengths of impulse responses of RTFs is proposed. In the proposed method, a suitable sample length of the impulse response is determined based on autocorrelation function (ACF) . The results of numerical simulations using real data reveal that the proposed method can determine suitable sample lengths while maintaining reproduction performance.


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