Digital signal processing without performing arithmetic multiplication operations
Keywords:
Digital signal, digital signal processing, discrete Fourier transform, programmable logic device, transversal difference digital filtering
Abstract
Issues related to the frequency selection of digital signals by the methods of their transversal difference digital filtering and multistage discrete Fourier transform with a minimum number of arithmetic multiplication operations are considered. The concept of deductive processing of digital signals is defined, which does not require arithmetic operations of multiplication. There are basic formulas for this processing of digital signals by recursive methods of difference filtering and multistage Fourier transform, which allow replacing the performance of arithmetic multiplication operations by the performance of addition operations.
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References
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Shcherbakov M.A., Steshenko V.B., Gubanov D.A. (2000). Digital polynomial filtering in real time: algorithms and ways of implementation on programmable logic devices implementation. Proceedings of the Third International Conference "Digital signal processing and its application" (DSPA’2000). 1., 19-26.
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Shinakov Yu.S., Burov Yu.Ya., Burova A.Yu. (2000). Theory, methods and algorithms of difference digital filtering. Proceedings of the Third International Conference "Digital signal processing and its application" (DSPA’2000), November 29-December 1, 2000. 1., 96-99.
Speransky V.S. (1997). Digital signal processors and their application for the formation and processing of signals: a Training manual. Moscow: Technical University of Communications and Informatics.
Speransky V.S. (2008). Signal microprocessors and their application in telecommunication systems and electronics. Moscow: Hot Line.
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Vityazev V.V. (1993). Digital frequency signal selection. Moscow: Radio and Communication.
Vityazev V.V., Vityazev V.V. (2007). Digital signal processors TMS320C67x by Texas Instruments. Ryazan: Ryazan State Radio Engineering University.
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Burov Yu.Ya., Burova A.Yu. (2000). Synthesis of the recurrence digital filters. Russian Scientific and Technical Society of Radio Engineering, Electronics and Communication named after A. S. Popov: LV Scientific session, dedicated to Radio Day: Theses of reports. Moscow: Russian Scientific and Technical Society of Radio Engineering, Electronics and Communication, 261.
Burova A.Yu. (2019). Minimisation of asymmetry of thrust of the dual-flow turbojet engines of the airliner in accordance with the results of the system analysis of the thrust parameters. Asia Life Sciences Supplement, 21(2), 1-11.
Kaplun D.I. (2007). Non-recursive digital filters without multiplications. Information and Space. St. Petersburg: Finestreet.
Kaplun D.I. (2009). Non-recursive digital filters without multiplications. Information and Space. St. Petersburg: CJSC “Institute of Telecommunications.
Kuzkin V.S. (1983). Difference digital filtering. Radiotechnics. 1, 52-54.
Schuka A.A. (2007). Nanotranzistors in Nanoelectronics. Radiotechnics, 9, 41-47.
Shcherbakov M.A., Steshenko V.B., Gubanov D.A. (2000). Digital polynomial filtering in real time: algorithms and ways of implementation on programmable logic devices implementation. Proceedings of the Third International Conference "Digital signal processing and its application" (DSPA’2000). 1., 19-26.
Shinakov Yu.S., Burov Yu.Ya (2000). Method of adaptive multistage shift and filtering of harmonic signal components. Telecommunication. 1, 15-17.
Shinakov Yu.S., Burov Yu.Ya. (1998). Difference digital filtering with integer coefficients. Proceedings of The First International Conference "Digital signal processing and its applications" (DSPA’98). 2., 94-99.
Shinakov Yu.S., Burov Yu.Ya., Burova A.Yu. (2000). Theory, methods and algorithms of difference digital filtering. Proceedings of the Third International Conference "Digital signal processing and its application" (DSPA’2000), November 29-December 1, 2000. 1., 96-99.
Speransky V.S. (1997). Digital signal processors and their application for the formation and processing of signals: a Training manual. Moscow: Technical University of Communications and Informatics.
Speransky V.S. (2008). Signal microprocessors and their application in telecommunication systems and electronics. Moscow: Hot Line.
Steshenko V.B. (2000). Programmable logic devices implementation by firm ALTERA: designing devices signal processing. Moscow: DODEKA.
Steshenko V.B. (2007). Programmable logic devices implementation by firm ALTERA: element base, design system and hardware description languages. Moscow: DODEKA.
Vityazev V.V. (1993). Digital frequency signal selection. Moscow: Radio and Communication.
Vityazev V.V., Vityazev V.V. (2007). Digital signal processors TMS320C67x by Texas Instruments. Ryazan: Ryazan State Radio Engineering University.
Vityazev V.V., Zaitsev A.A., Vityazev S.V. (2008). Multi-speed signal processing: retrospective and current state. Part 1. Digital Signal Processing, 1, 12-21.
Vityazev V.V., Zaitsev A.A., Vityazev S.V. (2008). Multi-speed signal processing: retrospective and current state. Part 1. Digital Signal Processing, 3, 2-9.
Published
2020-01-25
How to Cite
Burova, A. (2020). Digital signal processing without performing arithmetic multiplication operations. Amazonia Investiga, 9(25), 200-205. Retrieved from https://amazoniainvestiga.info/index.php/amazonia/article/view/1051
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