Designing Efficient Bilinear Bicomplex Orthogonal Digital Filters

Valkova-Jarvis, Zlatka; Stoynov, Viktor; Mihaylova, Dimitriya

doi:10.1109/mttw.2019.8897273

Cited by 2 publications

(3 citation statements)

References 11 publications

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“…Lossless filters preserve energy and have good properties such as stability, a low sensitivity to changes in their parameters, and no parasitic oscillations (Belevitch, 1968;Fettweis, 1971;Deprettere and Dewilde, 1980;Rao and Dewilde, 1987;Fettweis, 1991). In recent years, lossless FIR filters have become very attractive among scientists and designers, because these filters have various research and engineering applications (Vaidyanathan and Mitra, 2019;Wang et al, 2020;Valkova-Jarvis et al, 2019). For example, the lossless structures of filter banks are very popular in practical applications (Yang et al, 2017;Stancic et al, 2018;Liu et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

2-D lossless FIR filter design using synthesis of the paraunitary transfer function matrix

Wawryn,

Poczekajło

2023

International Journal of Applied Mathematics and Computer Scien

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A synthesis method for designing two-dimensional lossless finite impulse response (FIR) filters for various digital signal processing tasks is proposed. The synthesis method is based on using a 2-D embedding approach to obtain the paraunitary transfer function matrix of the lossless FIR filter. The elements of the paraunitary transfer function matrix are the transfer function of a given lossy FIR structure and the transfer functions for its complementary structures. The embedding method is used to design complementary FIR filter structures for several known lossy FIR filters. The lossless FIR filter matrix obtained in this article has a size of 3 × 1 and satisfies the paraunitary conditions. The conditions are described by a set of nonlinear equations. A modified Newton method is used to solve this set of equations. The proposed design method is used to determine the lossless structures of two-dimensional FIR filters for various digital processing tasks.

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Section: Introductionmentioning

confidence: 99%

2-D lossless FIR filter design using synthesis of the paraunitary transfer function matrix

Wawryn,

Poczekajło

2023

International Journal of Applied Mathematics and Computer Scien

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“…biorthogonal filter banks) have been developed and analysed for many years. Valkova-Jarvis et al [5] presents the procedure of designing bicomplex orthogonal filters with low sensitivity and complexity for a given initial transfer function with complex or real coefficients. In Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Additionally, the synthesis uses complex arithmetic operations (e.g. operations on polynomials) [5,6,8]. There are no issues concerning the optimisation of the structure implementing the filter in the hardware system.…”

Section: Introductionmentioning

confidence: 99%

Synthesis algorithm of low sensitivity non‐separableN‐D finite impulse response filters configured of fast orthogonal 1‐D rotation structures implemented in field programmable gate arrays IC

Poczekajło

Wawryn

2022

IET Signal Processing

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In the article, a low sensitivity synthesis algorithm of a non-separable N-dimensional (N-D) finite impulse response filter implemented in Field Programmable Gate Arrays (FPGA) is proposed. The synthesis and implementation algorithms determine a pipelined non-separable N-D finite impulse response filter structure consisting of fast Givens rotator structures. The filter transfer function is expressed as a function of N independent 1-D orthogonal transfer functions in each of N directions to avoid difficult, multidimensional equation computation. The rotator structure is obtained using the COR-DIC algorithm. The proposed synthesis algorithm was used to design and optimise the structure of the Laplacian of Gaussian (LoG) 3-D filter. The obtained filter was implemented in FPGA IC and its parameters, sensitivity, processing time and signal-toquantisation noise ratio, were simulated and measured. The assessed results were compared with the theoretical analysis of the filter parameters. In order to verify the advantages of the proposed filtering solution, the parameter results were compared with the results of the convolution direct implementation and the orthogonal/non-orthogonal state-space implementation of the LoG 3-D filter.

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Designing Efficient Bilinear Bicomplex Orthogonal Digital Filters

Cited by 2 publications

References 11 publications

2-D lossless FIR filter design using synthesis of the paraunitary transfer function matrix

2-D lossless FIR filter design using synthesis of the paraunitary transfer function matrix

Synthesis algorithm of low sensitivity non‐separableN‐D finite impulse response filters configured of fast orthogonal 1‐D rotation structures implemented in field programmable gate arrays IC

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