Image denoising using 2-D FIR filters designed with DEPSO

Hua, Jingyu; Kuang, Wangkun; Zheng, Guoqiang; Meng, Limin; Xu, Zhijiang

doi:10.1007/s11042-012-1263-1

Cited by 15 publications

(5 citation statements)

References 8 publications

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“…So Kaur and Dhillon discussed hybridization of two global search techniques. Hua et al [11] have hybridized DE and PSO for designing 2D FIR filter. Vasundhara et al [12] had proposed hybridization of adaptive DE and PSO for FIR filter design.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Design of Digital IIR Filter with Conflicting Objectives Using Hybrid Gravitational Search Algorithm

Sidhu

Dhillon

Kaur

2015

Mathematical Problems in Engineering

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In the recent years, the digital IIR filter design as a single objective optimization problem using evolutionary algorithms has gained much attention. In this paper, the digital IIR filter design is treated as a multiobjective problem by minimizing the magnitude response error, linear phase response error and optimal order simultaneously along with meeting the stability criterion. Hybrid gravitational search algorithm (HGSA) has been applied to design the digital IIR filter. GSA technique is hybridized with binary successive approximation (BSA) based evolutionary search method for exploring the search space locally. The relative performance of GSA and hybrid GSA has been evaluated by applying these techniques to standard mathematical test functions. The above proposed hybrid search techniques have been applied effectively to solve the multiparameter and multiobjective optimization problem of low-pass (LP), high-pass (HP), band-pass (BP), and band-stop (BS) digital IIR filter design. The obtained results reveal that the proposed technique performs better than other algorithms applied by other researchers for the design of digital IIR filter with conflicting objectives.

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Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Design of Digital IIR Filter with Conflicting Objectives Using Hybrid Gravitational Search Algorithm

Sidhu

Dhillon

Kaur

2015

Mathematical Problems in Engineering

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“…Two-dimensional (2-D) infinite impulse response (IIR) digital filters have been used in many signal processing applications such as image processing, video signal filtering, satellite image processing, beam filters, X-ray, TV transmission, and biomedical imaging [1][2][3][4][5]. Many methods have been proposed for the design of 2-D IIR digital filters (see, e.g., [6][7][8][9][10]).…”

Section: Introductionmentioning

confidence: 99%

Nearly Linear-Phase 2-D Recursive Digital Filters Design Using Balanced Realization Model Reduction

Omar,

Shpak,

Agathoklis

2023

Signals

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This paper presents a new method for the design of separable-denominator 2-D IIR filters with nearly linear phase in the passband. The design method is based on a balanced realization model reduction technique. The nearly linear-phase 2-D IIR filter is designed using 2-D model reduction from a linear-phase 2-D FIR filter, which serves as the initial filter. The structured controllability and observability Gramians Ps and Qs serve as the foundation for this technique. onal positive-definite matrices that satisfy 2-D Lyapunov equations. An efficient method is used to compute these Gramians by minimizing the traces of Ps and Qs under linear matrix inequality (LMI) constraints. The use of these Gramians ensures that the resulting 2-D IIR filter preserves stability and can be implemented using a separable-denominator 2-D filter with fewer coefficients than the original 2-D FIR filter. Numerical examples show that the proposed method compares favorably with existing techniques.

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“…However, they can effectively accommodate very narrow transition band frequency responses, which makes them suitable for a broad range of applications. Moreover, selective IIR filters are much more efficient than FIR filters, as the latter require higher orders (i.e., more multiplications) [1][2][3][4][5][6][7][8][9][10]. The efficiency of IIR filters stems from their ability to satisfy the required filter specifications with a much lower filter order, thereby reducing the computational requirements.…”

Section: Introductionmentioning

confidence: 99%

A Nonlinear Optimization Design Algorithm for Nearly Linear-Phase 2D IIR Digital Filters

Omar

Shpak

Agathoklis

et al. 2023

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In this paper, a new optimization method for the design of nearly linear-phase two-dimensional infinite impulse (2D IIR) digital filters with a separable denominator is proposed. A design framework for 2D IIR digital filters is formulated as a nonlinear constrained optimization problem where the group delay deviation in the passband is minimized under prescribed soft magnitude constraints and hard stability requirements. To achieve this goal, sub-level sets of the group delay deviations are utilized to generate a sequence of filters, from which the one with the best performance is selected. The quality of the obtained filter is evaluated using three quality factors, namely, the passband magnitude quality factor Qh and the group delay deviation quality factor Qτ, while the third one is a new quality factor Qs that assesses the performance in the stopband relative to the minimum filter gain in the passband. The proposed framework is implemented using the interior-point (IP) method in a MATLAB environment, and the experimental results show that filters designed using the proposed method have good magnitude response and low group delay deviation. The performance of the resulting filters is compared with the results of other methods.

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Image denoising using 2-D FIR filters designed with DEPSO

Cited by 15 publications

References 8 publications

Design of Digital IIR Filter with Conflicting Objectives Using Hybrid Gravitational Search Algorithm

Design of Digital IIR Filter with Conflicting Objectives Using Hybrid Gravitational Search Algorithm

Nearly Linear-Phase 2-D Recursive Digital Filters Design Using Balanced Realization Model Reduction

A Nonlinear Optimization Design Algorithm for Nearly Linear-Phase 2D IIR Digital Filters

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