Detection of Radar Pulse signals through the global wavelet
spectrum*
Ademilson Zanandrea, Osamu Saotome, Sérgio Viana de Freitas
Divisão de Engenharia Eletrônica–IEE, Instituto Tecnológico da Aeronáutica-ITA,
12228-900, São José dos Campos - SP
E-mail: [email protected]
In this paper, the continuous wavelets transform
Interception
of
Radar
Signals.
Norwood,
[1,5] is applied to detect the scale or period of
Massachusetts: Artech House, 1985.
interleaved radar pulses signals [2,3,4,6]. Two [7] Zanandrea, A.; Saotome, O.; De Farias, S. V.; Motta,
mother wavelets are tested, the Rectangular wavelet
J. M.; Pavlov, A., Detecção de sinais de pulsos de
with compact support in time and the Morlet
radar através da análise espectral de wavelets, Série
wavelet, both containing an adjustable width
Arquimedes, Vol 2, Anais do DINCON 2003 - 2º
parameter M [2,7].
The
time-scale
analysis
Congresso Temático de Aplicações de Dinâmica e
(scalograms) using the Morlet wavelet presents
Control, São José dos Campos, SP, Brasil, 18-23
better concentration of the power spectral peaks for
Agosto, ISBN: 85-86883-15-8, 2003.
complex sequences and the implementation of the
wavelet transform in the frequency domain
decreases considerably the computational cost,
without losses in the detection efficiency [7]. The
wavelets detection was shown to be robust to the
missing pulse and sensitive for simple and complex
sequences. The wavelets analysis suppresses the
complications of multiple harmonics and same
spectral “shadows” that appear in same scalograms
of more complex pulse sequences.
___________________
• Ademilson Zanandrea thanks to Fapesp for the financial
support to the project under process n. 00/10043-9.
Referências
[1] Daubechies, I., Ten lectures on wavelets.
Philadelphia: SIAM, 1992.
[2] Driscoll, D. E. e Howard, S.D., The detection of
Radar Pulse Sequence by Means of a
Continuous
Wavelet
Transform,
IEEE.
Procedings on International Conference,
Acoustics, Speech, and Signal Processing, 3, p.
1389-1392, 1999.
[3] Gautschi, W. A survey of Gauss-Christoffel
quadrature formulae, em "E.B. Christoffel -The
influence of his work in mathematics and
physical sciences" (P.L. Butzer e F. Fehér, eds.)
pp. 72-147, Birkhãuser Verlag, Basel, 1981.
[4] Howard, S. and Driscoll., D, “Pulse train
detection using a continuous wavelet transform,”
Proceedings of the Second Workshop on Signal
Processing Applications, pp. 155– 158, Brisbane,
Australia, 1997.
[5] Mallat, S., A Wavelet Tour of Signal Processing,
Academic Press, 2a- Edição, 1999.
[6] Wiley, R. G., Electronic Intelligence: The