On Circularity of Complex-Valued Radar Signals
Rafał Piotr Rytel-Andrianik
AbstractIn radars, complex signals arise naturally as a result of a quadrature demodulation or Fourier transform. Also, the Doppler spectrum is not an even function of frequency and the Doppler signal is thus naturally complex. Random complex radar signals used to be automatically assumed to be circular. As a result, most of signal processing algorithms (such as detection and estimation) were derived for circular noises and interferences only. In the recent literature an interest in complex signals that are not circular can be seen. It was noticed that many common signals, particularly in communications, are not circular and processing methods exploiting this noncircularity were presented. In this paper we review complex random signals and their properties of circularity and properness. Then we analyze a few complex-valued signals that arise in radars and show that some of them are indeed noncircular to some extend.
|Book||Kulpa Krzysztof, Kurowska Anna, Malanowski Mateusz Piotr, Samczyński Piotr Jerzy, Styczek Elżbieta Joanna (eds.): 2013 Signal Processing Symposium (SPS), 2013, Red Hook, NY 12571 USA, Institute of Electronic Systems Warsaw University of Technology, ISBN 978-1-4673-6319-8, [IEEE Catalog Number CFP1356U-ART], 247 p.|
|Keywords in English||Correlation, Covariance matrices, Demodulation, Noise, Radar, Random variables, Vectors|
|Score|| = 10.0, 12-05-2020, BookChapterMatConfByIndicator|
= 15.0, 12-05-2020, BookChapterMatConfByIndicator
|Publication indicators||= 0; = 4.0|
|Citation count*||4 (2020-09-17)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.