Noncircularity of Demodulated Radar Signal

Authors

  • Rafał Rytel-Andrianik Warsaw University of Technology

Abstract

The output of the quadrature demodulator is generally regarded as a complex signal that is circular if only the demodulator is well balanced. In the paper we analyze properties of quadrature demodulators, particularly digital one, and show that the output is noncircular also if the input signal is nonstationary. Then we find sources of this noncircularity and show that they stem from transients of the low-pass demodulator filter. This is quite important because nonstationary inputs are quite typical in radar where power of echoes depends strongly on range. In the first sections we also review complex random signals and properties of circularity and properness.

References

F. Barbaresco and P. Chevalier, “Noncircularity exploitation in signal processing overview and application to radar,” in Waveform Diversity Digital Radar Conference - Day 1: Waveform Diversity Design, 2008 IET, 2008, pp. 1-6.

P. Chevalier, A. Blin, F. Pipon, and F. Delaveau, “GLRT-based array receivers to detect a known signal corrupted by noncircular interferences,” in Proc. EUSIPCO, Pozna´n, Poland, Sept. 2007.

F. D. Neeser and J. L. Massey, “Proper complex random processes with applications to information theory,” IEEE Transactions on Information Theory, vol. 39, no. 4, pp. 1293-1302, 1993.

P. Schreier and L. Scharf, Statistical Signal Processing of Complex- Valued Data: The Theory of Improper and Noncircular Signals. Cambridge University Press, 2010.

B. Picinbono, “Second-order complex random vectors and normal distributions,” IEEE Transactions on Signal Processing, vol. 44, no. 10, pp. 2637-2640, 1996. [CrossRef]

B. Picinbono, “On circularity,” IEEE Transactions on Signal Processing, vol. 42, no. 12, pp. 3473-3482, 1994.

P. Schreier, L. Scharf, and A. Hanssen, “A generalized likelihood ratio test for impropriety of complex signals,” Signal Processing Letters, IEEE, vol. 13, no. 7, pp. 433-436, 2006. [CrossRef]

J.-P. Delmas and H. Abeida, “On the degree of second-order noncircularity of complex random variables,” in Acoustics, Speech and Signal Processing, 2008. ICASSP 2008. IEEE International Conference on, 2008, pp. 3905-3908.

J. Eriksson, E. Ollila, and V. Koivunen, “Essential statistics and tools for complex random variables,” IEEE Transactions on Signal Processing, vol. 58, no. 10, pp. 5400-5408, 2010. [CrossRef] [Web of Science]

M. Zakai, “The representation of narrow-band processes,” Information Theory, IRE Transactions on, vol. 8, no. 4, pp. 323-325, 1962.

Downloads

Published

2015-07-03

Issue

Section

ARTICLES / PAPERS / General