Abstract

In this paper we propose a new economical selective low-pass finite impulse response filter function. First, we describe the two types of already developed filters, and then we obtain three new different types of filters, by combining the previous ones. Also, the general form of the proposed filter is given. In order to verify the effectiveness of the proposed filter function, the cut-off frequencies of the stop-band and pass-band of the filter, for equal constant group delay, are analysed and compared with classical first and second type of filters. It is shown that proposed filter is efficient related to high selectivity and high values of attenuation in the stop-band of the filter. DOI: http://dx.doi.org/10.5755/j01.eee.20.4.2783

Highlights

  • 1Abstract—In this paper we propose a new economical selective low-pass finite impulse response filter function

  • In recent time the classical orthogonal polynomials have be In recent time the classical orthogonal polynomials have been intensively used for designing low-pass orthogonal filters with numerous applications in mathematics, science and engineering such as in designing orthogonal signal generators, least square approximations, process modelling, identification and practical realizations of optimal and adaptive systems [1]–[5]

  • During the past several years, we have developed some new concepts of orthogonality using mathematical transformations in complex domain [6], [7]

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Summary

INTRODUCTION

In recent time the classical orthogonal polynomials have be In recent time the classical orthogonal polynomials have been intensively used for designing low-pass orthogonal filters with numerous applications in mathematics, science and engineering such as in designing orthogonal signal generators, least square approximations, process modelling, identification and practical realizations of optimal and adaptive systems [1]–[5]. During the past several years, we have developed some new concepts of orthogonality (almost and quasi orthogonal filters) using mathematical transformations in complex domain [6], [7] These filters can be used as generators of functions sequence, suitable for approximations, modelling and analysis of imperfect systems [1], [3], [4]. In [10], we proposed a method for the design of filter transfer function in an explicit form having the decreasing envelope of the summed sensitivity function in the pass-band. Analytic methods for analysis and synthesis of 1D and 2D filters functions were given in our earlier papers [22]–[24] In these papers we gave the general structure of the selective low-pass FIR filter. It is shown that proposed filter has great results in regard to high selectivity and economical realization structure

LINEAR PHASE FIR FILTER FUNCTIONS WITH EQUAL VALUE OF CONSTANT GROUP DELAY
THE GENERAL FORM OF PROPOSED TRANSITIONAL LINEAR PHASE FIR FILTERS
CONCLUSIONS

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