Design of linear phase FIR filters via linear complementarity problem approach

Nuseirat, A.M. Al-Fahed

doi:10.1002/cta.325

Cited by 4 publications

(3 citation statements)

References 14 publications

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“…In that case the finite impulse response (FIR) filters are a natural solution, because they can provide exactly linear phase if coefficients have symmetry. Compared with the FIR filters [3,4], the infinite impulse response (IIR) filters can realize the same magnitude specifications and enable highspeed signal processing with considerably lower order. It is important to emphasize that the phase of the IIR filter is nonlinear, so the phase corrector is required to achieve the prescribed phase characteristic.…”

Section: Introductionmentioning

confidence: 99%

A New Method for Design of Selective Digital Iir Filters With Arbitrary Phase

2019

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In this paper the design of selective digital filters that consists of a parallel connection of two all-pass sub-filters is presented. The phase of these filters has given an arbitrary shape ϕ(ω) in both pass-band and stop-band. The proposed method allows the calculation of selective filters with elliptic-like magnitude characteristic. Equations given in the paper are general and suitable for design of filters with arbitrary phase. The efficiency of the method is demonstrated on design of filters with piecewise linear and quadratic phases.

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Section: Introductionmentioning

confidence: 99%

A New Method for Design of Selective Digital Iir Filters With Arbitrary Phase

2019

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“…In many applications, phase distortion is not allowed, and finite impulse response (FIR) filters are in that case natural solution. Although only high‐order FIR filters could fulfill prescribed characteristics, sometimes they cannot be avoided and remain to be in the focus of researchers . Compared with the FIR filters, the lower‐order infinite impulse response (IIR) filters can realize the same prescribed magnitude specifications and enable high‐speed signal processing.…”

Section: Introductionmentioning

confidence: 99%

Selective digital filters with quadratic phase

Djurić¹,

Stančić

2016

Circuit Theory & Apps

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Summary A method for design of a new class of digital infinite impulse response filters realized as parallel connection of two all‐pass filters is presented in this paper. A new approach to approximation of quadratic phase of all‐pass filter at all frequencies is given. Chosen parallel structure offers opportunity for realization of filters with arbitrary shape phase. The presented algorithm is based on all‐pass filter phase approximation. Phases of both all‐pass filters approximate ideal quadratic phase in minimax sense at all frequencies. Such filters can be applied for chirp signal compression or expansion. Magnitude characteristic of described filters is very selective and elliptic‐like. Obtained filters are compared with elliptic filter and group delay corrector in cascade. For the same specifications, much better results are achieved by the proposed filters. Parallel connection of all‐pass filters introduces lower signal delay, and for a given maximal phase, approximation error demands less complex network. Examples to illustrate the proposed method are given. Copyright © 2016 John Wiley & Sons, Ltd.

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“…Linear phase is preferred in the digital signal processing applications such as mobile communications and medical electronics, since it has constant group delay . Typical design methods include Remez exchange‐based methods , least squares methods , frequency sampling methods and mathematic programming methods .…”

Section: Introductionmentioning

confidence: 99%

Design nearly equiripple FIR filter by gradient scheme with dynamic step size

Hua

Kuang

Wen

et al. 2013

Circuit Theory & Apps

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This paper proposes a gradient-based algorithm with dynamic step size to design the nearly equiripple finite impulse response (FIR) filter, which iteratively updates the filter coefficient vector along the negative gradient direction of the peak approximation error. Moreover, besides the direction, the step size for updating is also an important parameter to be determined, and this paper proposes a dynamic method to find an appropriate step size at each round of iteration. Our results show that this dynamic step-size scheme achieves a fast convergence rate, i. e. it can, i.e. it can design the nearly equiripple filters within a number of iterations. Specifically, by using the proposed method, the updating step size is relatively large at the early stage of iterations, which reduces the peak approximation error significantly. While, at the later stage of iterations, the updating step size becomes relatively small to approach to the equiripple solution as soon as possible. The extensive computer simulation demonstrates that the proposed algorithm outperforms the conventional algorithm in terms of the iteration number, the convergency and the performance.

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Design of linear phase FIR filters via linear complementarity problem approach

Cited by 4 publications

References 14 publications

A New Method for Design of Selective Digital Iir Filters With Arbitrary Phase

A New Method for Design of Selective Digital Iir Filters With Arbitrary Phase

Selective digital filters with quadratic phase

Design nearly equiripple FIR filter by gradient scheme with dynamic step size

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