Design of FIR two- dimensional digital filters by successive projections

Abotaleb, Ahmed; Fahmy, M.M.

doi:10.1109/tcs.1984.1085572

Cited by 39 publications

(19 citation statements)

References 5 publications

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“…The function F takes the minimum value at the point satisfying Therefore, g i,j n+1 is 15) and (16) that the new filter coefficients g i,j n+1 can be updated by using the old filter coefficients g i,j n , the allowable error λ M , the maximum error e M from the required characteristics, and the point (ω M , φ M ) for such maximum error. Hence, in each iterative operation, it is required only to find the point (ω M , φ M ) with the maximum error from the ideal value including the allowable error, similarly to the successive projection method [1,2] proposed previously. Therefore, the design procedure is very simple.…”

Section: Design By Successive Projection Methodsmentioning

confidence: 99%

“…Then, when Q k is a closed ensemble, the convergence of the algorithm is presented in Ref. 1. It is clear from the similarity to the design problem of a two-dimensional filter that Eq.…”

Section: Design Problemmentioning

confidence: 99%

“…In this paper, a digital filter in which the frequency characteristics are quickly variable in the signal processing stage is defined as a variable filter. Variable digital filters are important in signal processing for communications, acoustics, and images [1][2][3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

“…As a result, the characteristics obtained are close to the amplitude characteristics of the filter solved by the Remez algorithm for specifications that change instantaneously from time to time. The successive projection method is an iterative approximation method that requires little memory and uses an extremely simple algorithm [1,2]. Finally, a design example is presented and the effectiveness of the proposal is confirmed.…”

Section: Introductionmentioning

confidence: 99%

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Design method of FIR filters with the variable piecewise stopband

Shinbo

Sugita

Aikawa

et al. 2005

Electron Comm Jpn Pt III

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SUMMARYIn the field of digital signal processing, there are cases in which the frequency characteristics must be changed instantaneously in response to the processing objective. A filter whose characteristic can be varied instantaneously is called a variable filter. Many reports are available on the design of FIR digital filters with a variable passband. However, it appears that there are no publications on the design of an FIR digital filter in which the portion of the stopband with high attenuation can be varied. In this paper, a design method is proposed for an FIR digital filter using spectral parameters that make the portion of the stopband with high attenuation variable. For the design, the successive projection method with a simple algorithm is applied. A filter with an almost equal-ripple profile for the entire amplitude characteristic is designed by varying the spectral parameters. As a result, it is possible to obtain amplitude characteristics close to those of the filter solved by the Remez algorithm for specifications that change instantaneously from time to time. Finally, a design example is presented to confirm the effectiveness of the present approach.

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Section: Design By Successive Projection Methodsmentioning

confidence: 99%

“…Then, when Q k is a closed ensemble, the convergence of the algorithm is presented in Ref. 1. It is clear from the similarity to the design problem of a two-dimensional filter that Eq.…”

Section: Design Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Design method of FIR filters with the variable piecewise stopband

Shinbo

Sugita

Aikawa

et al. 2005

Electron Comm Jpn Pt III

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“…The PLS algorithm consists of a least-squares part providing an analytical least-squares solution, and a projection part by which the least-squares solution is projected successively onto the feasible hyperplane of the problem. The methods in [1], [7], [15] are also based on successive projections, and they are very effective for meeting timeand frequency domain constraints. But they merely obtain feasible filters that meet given constraints.…”

Section: Introductionmentioning

confidence: 99%

PLS Algorithms for Equality-Constrained Linear-Phase FIR Filter Design

Lai

2005

Circuits Syst Signal Process

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The least-squares design of linear-phase finite impulse response (FIR) filters with equality constraints in the time and frequency domains can be formulated as an equality-constrained quadratic programming (QP) problem. This paper presents an effective and robust novel algorithm, the projected least-squares (PLS) algorithm, for equalityconstrained QP problems. The algorithm eventually projects an unconstrained minimization solution successively onto the feasible hyperplane of the problem. An additional term is added into the Hessian matrix of the cost function, thus ensuring the positive definiteness of the Hessian matrices during the iterative procedure for the design of constrained minimax filters. To demonstrate its effectiveness and robustness, the PLS algorithm is applied to design optimal linear-phase Nyquist filters that may satisfy some frequency domain constraints besides the zero-crossing impulse response.

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Mutual Coupling in Beamforming and Interferometric Antennas

Lui

Bird²

2021

Mutual Coupling Between Antennas

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Design of FIR two- dimensional digital filters by successive projections

Cited by 39 publications

References 5 publications

Design method of FIR filters with the variable piecewise stopband

Design method of FIR filters with the variable piecewise stopband

PLS Algorithms for Equality-Constrained Linear-Phase FIR Filter Design

Mutual Coupling in Beamforming and Interferometric Antennas

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