A New Multiplier-free Transformation for the Design of Hardware Efficient Circularly Symmetric Wideband 2D Filters

Sreelekha, K. R.; Bindiya, T. S.

doi:10.1109/tencon.2019.8929423

Cited by 3 publications

(2 citation statements)

References 6 publications

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“…For straight-shaped filters, matrix C φ in (19) depends on the orientation angle φ, as in (20), and so does the overall filter kernel H φ . For elliptically shaped filters, matrix E φ in (35) depends both on the angle φ and ellipse semi-axes (E, F), according to (36). Thus, for any specified parameter values, the filter matrices are derived directly.…”

Section: Discussionmentioning

confidence: 99%

“…Other recent developments include a neural Fourier filter bank [31], continuous upsampling filters [32], 2D matched filtering with time-stretching [33], 2D/3D convolution techniques for hyperspectral image super-resolution [34], and two-dimensional polynomial predictors [35]. Hardware-efficient multiplier-less structures are proposed in [36,37]. Minimal state-space realizations, including lattice structures, are proposed in [38,39], while high-performance architectures on FPGA are developed in [40,41].…”

Section: Introductionmentioning

confidence: 99%

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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: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Matei,

Chiper

2024

Electronics

View full text Add to dashboard Cite

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Development of a 2D Filter Architecture to Obtain Circular Bandwidths Varied by Arbitrary Rational Values Without Restructuring

Sreelekha

Bindiya

2023

Circuits Syst Signal Process

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Gaussian Circular 2D FIR Filters Designed Using Analytical Approach

Matei

2020

Wseas Transactions on Signal Processing

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This paper proposes an analytical design procedure for a particular class of 2D filters, namelyGaussian-shaped, circularly-symmetric FIR filters. We approach both low-pass and band-pass circular filters,which are adjustable in selectivity and peak frequency. The design starts from a given 1D Gaussian prototypefilter, approximated using the Chebyshev series. A frequency transformation is applied to derive the circularfilter. Several design examples are provided for both types of filters. The filters designed through this methodare efficient, their frequency response results in a factored or nested form, convenient for implementation.

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A New Multiplier-free Transformation for the Design of Hardware Efficient Circularly Symmetric Wideband 2D Filters

Cited by 3 publications

References 6 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

Development of a 2D Filter Architecture to Obtain Circular Bandwidths Varied by Arbitrary Rational Values Without Restructuring

Gaussian Circular 2D FIR Filters Designed Using Analytical Approach

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