The JM-Filter to detect specific frequency in monitored signal

Jaber, M. A. et Massicotte, D. (2021). The JM-Filter to detect specific frequency in monitored signal. IEEE Transactions on Signal Processing, 69 . pp. 1468-1476. ISSN 1941-0476 DOI 10.1109/TSP.2021.3053509

Prévisualisation

PDF Télécharger (570kB) | Prévisualisation

Résumé

The Discrete Fourier Transform (DFT) is a mathematical procedure that stands at the center of the processing inside a digital signal processor. It has been widely known and argued in relevant literature that the Fast Fourier Transform (FFT) is useless in detecting specific frequencies in a monitored signal of length N because most of the computed results are ignored. In this paper, we present an efficient FFT-based method to detect specific frequencies in a monitored signal, which will then be compared to the most frequently used method which is the recursive Goertzel algorithm that detects and analyses one selectable frequency component from a discrete signal. The proposed JM-Filter algorithm presents a reduction of iterations compared to the first and second order Goertzel algorithm by a factor of r, where r represents the radix of the JM-Filter. The obtained results are significant in terms of computational reduction and accuracy in fixed-point implementation. Gains of 15 dB and 19 dB in signal to quantization noise ratio (SQNR) were respectively observed for the proposed first and second order radix-8 JM-Filter in comparison to Goertzel algorithm.

Type de document:	Article
Mots-clés libres:	Discrete Fourier transform Goertzel algorithm One frequency detection Low complexity Fixed-point precision
Date de dépôt:	09 mai 2022 15:49
Dernière modification:	09 mai 2022 15:49
Version du document déposé:	Post-print (version corrigée et acceptée)
URI:	https://depot-e.uqtr.ca/id/eprint/10129

Actions (administrateurs uniquement)

Éditer la notice