DFT-based detection of sinusoids in real-time applications

Author

Bellan, D.

Author_Institution

Politec. di Milano, Milan, Italy

fYear

2009

fDate

26-28 Aug. 2009

Firstpage

104

Lastpage

108

Abstract

This work deals with a probabilistic approach to detection of weak sine waves corrupted by additive noise. The analysis is performed in the frequency domain after a discrete Fourier transform, and it is suited for real-time applications since it foresees the definition of a threshold level. The analytical results concerning detection and false alarm probabilities related to such threshold are provided in analytical form as functions of the sampling parameters and the properties of the time window. In particular, both coherent and noncoherent sampling conditions are considered, together with spectral leakage effects. Analytical results are validated by means of numerical simulations.

Keywords

discrete Fourier transforms; frequency-domain analysis; numerical analysis; probability; signal sampling; spectral analysis; DFT; additive noise; coherent sampling conditions; discrete Fourier transform; false alarm probability; frequency domain; noncoherent sampling conditions; numerical simulations; probabilistic approach; real-time applications; sampling parameters; sinusoid detection; spectral leakage effects; weak sine waves corruption; Signal processing;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Signal Processing, 2009. WISP 2009. IEEE International Symposium on

Conference_Location

Budapest

Print_ISBN

978-1-4244-5057-2

Electronic_ISBN

978-1-4244-5059-6

Type

conf

DOI

10.1109/WISP.2009.5286537

Filename

5286537