An Easy and Efficient Method for Synthesizing Two-Dimensional Finite Impulse Response Filters with Improved Selectivity [Tips &amp; Tricks]

Apostolov, Peter; Yurukov, Borislav; Stefanov, Alexey

doi:10.1109/msp.2017.2717498

Cited by 9 publications

(3 citation statements)

References 5 publications

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“…Some very recent papers have approached various advanced design techniques for 2D FIR and IIR filters [15][16][17][18][19][20]. A low-complexity 2D FIR filter implementation based on a Farrow structure is proposed in [21].…”

Section: Introductionmentioning

confidence: 99%

Analytical Design of Gaussian Anisotropic 2D FIR Filters and Their Implementation Using the Block Filtering Approach

Matei,

Chiper

2024

Electronics

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This work proposes an analytical design procedure for a particular class of 2D filters, namely anisotropic Gaussian FIR filters. The design is achieved in the frequency domain and starts from a low-pass Gaussian 1D prototype with imposed specifications, whose frequency response is efficiently approximated by a factored trigonometric polynomial using the Chebyshev series. Then, using specific 1D to 2D frequency mappings applied to the prototype, the frequency response for a 2D anisotropic filter with a specified orientation angle is directly derived in two versions, namely with a straight or elliptical shape in the frequency plane. The resulting filters have an accurate shape with low distortion. Several design examples for specified parameters (angle and selectivity) are provided. Then, simulations of directional filtering on various test images are given, which show their capability of extracting oriented lines or other various oriented objects from synthetic or real-life images. Finally, a computationally efficient implementation at the system level is proposed, based on a polyphase decomposition and block-filtering approach, which yields a 2D filter with a high degree of parallelism and low arithmetic complexity.

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Section: Introductionmentioning

confidence: 99%

Analytical Design of Gaussian Anisotropic 2D FIR Filters and Their Implementation Using the Block Filtering Approach

Matei,

Chiper

2024

Electronics

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“…The efficient, low-complexity design of 2D FIR filters and the implementation using Farrow structure are described in papers like [ 6 , 7 ]. Other relevant recent papers on efficient 2D filter design are [ 8 , 9 , 10 ].…”

Section: Introductionmentioning

confidence: 99%

Analytic Design Technique for 2D FIR Circular Filter Banks and Their Efficient Implementation Using Polyphase Approach

Matei,

Chiper

2023

Sensors

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This paper proposes an analytical design procedure for 2D FIR circular filter banks and also a novel, computationally efficient implementation of the designed filter bank based on a polyphase structure and a block filtering approach. The component filters of the bank are designed in the frequency domain using a specific frequency transformation applied to a low-pass, band-pass and high-pass 1D prototype with a specified Gaussian shape and imposed specifications (peak frequency, bandwidth). The 1D prototype filter frequency response is derived in a closed form as a trigonometric polynomial with a specified order using Fourier series, and then it is factored. Since the design starts from a 1D prototype with a factored transfer function, the frequency response of the designed 2D filter bank components also results directly in a factored form. The designed filters have an accurate shape, with negligible distortions at a relatively low order. We present the design of two types of circular filter banks: uniform and non-uniform (dyadic). An example of image analysis with the uniform filter bank is also provided, showing that the original image can be accurately reconstructed from the sub-band images. The proposed implementation is presented for a simpler case, namely for a smaller size of the filter kernel and of the input image. Using the polyphase and block filtering approach, a convenient implementation at the system level is obtained for the designed 2D FIR filter, with a relatively low computational complexity.

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“…Two dimensional (2‐D) finite impulse response (FIR) filters [1–5] have applications in radar [6,7], image, seismic [8] signals and 2‐D image sampling structure conversion [9]. The hardware implementation complexity of a traditional 2‐D FIR filter is high due to its 2‐D coefficients multiplication.…”

Section: Introductionmentioning

confidence: 99%

Coefficients Quantization for Separable Two‐Dimensional FIR Filter

Wang

Cheng

et al. 2021

IEEJ Transactions Elec Engng

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A separable two‐dimensional (2‐D) finite impulse response (FIR) filter can be implemented using an efficient parallel structure. The continuous coefficient separable 2‐D FIR filter has already been well studied. In this study, the quantization of the coefficients of a separable 2‐D FIR filter is addressed for the first time. Two (iterative) schemes [two‐step integer linear programming algorithm (2‐step‐integer‐LP) and two‐step integer linear programming neighborhood search algorithm (2‐step‐integer‐LP‐neighbor)] for quantizing the coefficients are proposed, which have the same core idea: fixing some coefficients and optimally quantizing the other coefficients. Simulation experiment is conducted to verify the effectiveness of the proposed quantization schemes. The experimental results reveal that the two schemes both outperform the direct rounding method in terms of the design error. 2‐Step‐integer‐LP performs slightly better than 2‐step‐integer‐LP‐neighbor. However, the former may not work, in some case, due to the large number of optimization variables. © 2021 Institute of Electrical Engineers of Japan. Published by Wiley Periodicals LLC.

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An Easy and Efficient Method for Synthesizing Two-Dimensional Finite Impulse Response Filters with Improved Selectivity [Tips & Tricks]

Cited by 9 publications

References 5 publications

Analytical Design of Gaussian Anisotropic 2D FIR Filters and Their Implementation Using the Block Filtering Approach

Analytical Design of Gaussian Anisotropic 2D FIR Filters and Their Implementation Using the Block Filtering Approach

Analytic Design Technique for 2D FIR Circular Filter Banks and Their Efficient Implementation Using Polyphase Approach

Coefficients Quantization for Separable Two‐Dimensional FIR Filter

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