Doppler Spectrum Estimation by Ramanujan Fourier Transforms.

Mohand Lagha (1, 2, 3, 4) , Messaoud Bensebti (1, 2)

1 UB1 - Université Saâd Dahlab Blida 1
2 Département d'Electronique [Blida]
3 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
4 AEROLAB - Aeronautical Science Laboratory of Blida

The Doppler spectrum estimation of a weather radar signal in a classic way can be made by two methods, temporal one based in the autocorrelation of the successful signals, whereas the other one uses the estimation of the power spectral density PSD by using Fourier transforms. We introduces a new tool of signal processing based on Ramanujan sums cq(n), adapted to the analysis of arithmetical sequences with several resonances p/q. These sums are almost periodic according to time n of resonances and aperiodic according to the order q of resonances. New results will be supplied by the use of Ramanujan Fourier Transform (RFT) for the estimation of the Doppler spectrum for the weather radar signal.

Mots clés: Signal processing; Weather pulse Doppler Radar; Arithmetical or temporal Series; Spectral Estimation; Ramanujan Fourier Transform.; Ramanujan Fourier Transform

Domaines: Traitement du signal et de l'image [eess.SP]; Algorithme et structure de données [cs.DS]; Traitement du signal et de l'image [eess.SP]; Modélisation et simulation

Mohand Lagha, Messaoud Bensebti. Doppler Spectrum Estimation by Ramanujan Fourier Transforms.. Digital Signal Processing, 2009, 19 (5), pp.843-851. ⟨10.1016/j.dsp.2009.03.007⟩. ⟨hal-00107169v2⟩