Vol.9, No.2, May 2020.                                                                                                                                                                                     ISSN: 2217-8309

                                                                                                                                                                                                                        eISSN: 2217-8333


TEM Journal



Association for Information Communication Technology Education and Science

Digital Algorithms for the Discrete Frequency Selection of Signals that Do Not Use Algorithmic

Multiplication Operations


Adeliya Yu. Burova, Timur O. Usatenko


© 2020 Adeliya Yu. Burova, published by UIKTEN. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. (CC BY-NC-ND 4.0)


Citation Information: TEM Journal. Volume 9, Issue 2, Pages 501-506, ISSN 2217-8309, DOI: 10.18421/TEM92-11, May 2020.


Received: 21 November 2019.

Revised:   06 February 2020.
Accepted: 12 February 2020.
Published: 27 May 2020.




The issues related to the problem of minimizing hardware costs in the digital algorithms’ hardware and software implementation for the discrete signals’ frequency selection on programmable logic devices (PLD) and special processor microelectronic devices are considered. Possible ways to solve these problems are described based on the computational algorithms for non-recursive digital filtering (NDF) and difference digital filtering with integer coefficients use. A necessary and sufficient condition is given for using a computational algorithm’s hardware and software implementation of discrete signals’ difference digital filtering for their multi-stage discrete Fourier transform without performing arithmetic multiplication operations.


Keywords –cascade digital filtering, difference digital filtering, frequency selection of signals, multiband digital filtering, NDF.



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