Technique to Adjust Adaptive Digital Filter Coefficients in Residue Number System Based Filters

Kaplun, Dmitry; Voznesensky, A. S.; Veligosha, A. V.; Kalmykov, Igor A.; Sarma, Kandarpa Kumar

doi:10.1109/access.2021.3085704

Cited by 9 publications

(2 citation statements)

References 29 publications

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“…Digital filters can be designed in many ways [ 15 , 16 , 17 , 18 ]; the simplest and most widely used method used method for designing a linear phase response digital filter is via the Fourier series method using a window function [ 19 ]. When the frequency of the measured signal is known, the frequency of the measured signal is taken as the center frequency of the filter passband.…”

Section: Signal Processing Algorithm Designmentioning

confidence: 99%

Design and Implementation of a Subnanometer Heterodyne Interference Signal Processing Algorithm with a Dynamic Filter

Zeng

Zhao

Xiong

et al. 2022

Sensors

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In this study, a subnanometer heterodyne interference signal processing algorithm with a dynamic filter is proposed. The algorithm can effectively reduce the measurement error caused by the noise introduced in the optical path and circuit. Because of the low signal−to−noise ratio of the measurement signal, a dynamic filter with variable coefficients is designed. The role of the bi−quadrature lock−in amplifier algorithm in the problem of different amplitudes among the measurement signal, reference signal, and uncertainty of the frequency difference of the dual−frequency laser is analyzed. With the aid of the heterodyne interferometry platform, the error in the solution results of the proposed algorithm and the conventional algorithm is compared. The results indicate that the maximum deviation of the phase increment of the algorithm does not exceed 6 mrad, the single−cycle phase difference can be subdivided by 1024, and the system resolution reaches 0.15 nm.

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Section: Signal Processing Algorithm Designmentioning

confidence: 99%

Design and Implementation of a Subnanometer Heterodyne Interference Signal Processing Algorithm with a Dynamic Filter

Zeng

Zhao

Xiong

et al. 2022

Sensors

View full text Add to dashboard Cite

show abstract

“…Implementation of adaptive filters using codes of residue number system is presented in [18][19][20]. An algorithm for choosing coefficients of a digital filter using integral arithmetic of codes of residue number system was developed in [21] and provides zero error in the response of the filter.…”

Section: Introductionmentioning

confidence: 99%

Error-Correction Coding Using Polynomial Residue Number System

et al. 2022

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There has been a tendency to use the theory of finite Galois fields, or GF(2n), in cryptographic ciphers (AES, Kuznyechik) and digital signal processing (DSP) systems. It is advisable to use modular codes of the polynomial residue number system (PRNS). Modular codes of PRNS are arithmetic codes in which addition, subtraction and multiplication operations are performed in parallel on the bases of the code, which are irreducible polynomials. In this case, the operands are small-bit residues. However, the independence of calculations on the bases of the code and the lack of data exchange between the residues can serve as the basis for constructing codes of PRNS capable of detecting and correcting errors that occur during calculations. The article will consider the principles of constructing redundant codes of the polynomial residue number system. The results of the study of codes of PRNS with minimal redundancy are presented. It is shown that these codes are only able to detect an error in the code combination of PRNS. It is proposed to use two control bases, the use of which allows us to correct an error in any residue of the code combination, in order to increase the error-correction abilities of the code of the polynomial residue number system. Therefore, the development of an algorithm for detecting and correcting errors in the code of the polynomial residue number system, which allows for performing this procedure based on modular operations that are effectively implemented in codes of PRNS, is an urgent task.

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RETRACTED ARTICLE: Simulation of image optical processing based on artificial intelligence in the motion adaptive adjustment system of aerobics athletes

Yong

2023

Opt Quant Electron

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Technique to Adjust Adaptive Digital Filter Coefficients in Residue Number System Based Filters

Cited by 9 publications

References 29 publications

Design and Implementation of a Subnanometer Heterodyne Interference Signal Processing Algorithm with a Dynamic Filter

Design and Implementation of a Subnanometer Heterodyne Interference Signal Processing Algorithm with a Dynamic Filter

Error-Correction Coding Using Polynomial Residue Number System

RETRACTED ARTICLE: Simulation of image optical processing based on artificial intelligence in the motion adaptive adjustment system of aerobics athletes

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