Title :
Ambiguity function and Cramer-Rao bounds for standard and new modified Costas signals
Author :
Touati, N. ; Tatkeu, C. ; Chonavel, T. ; Elhillali, Y. ; Rivenq, A.
Author_Institution :
IFSTTAR, Lille, France
Abstract :
The Cramer-Rao bound (CRB) gives a lower variance bound that an estimator can achieve. Presented is a mathematical approach to estimate it for specific radar signals, namely Costas signals and their modified versions. The modified versions design consists in widening Costas frequency hops and replacing rectangular pulses with other waveforms (namely linear frequency modulated pulses, phase codes and other Costas codes). The calculation is based on approximations of the ambiguity function (AF) around the mainlobe. The CRBs are then derived based on relationships between the AF and these bounds.
Keywords :
estimation theory; function approximation; radar signal processing; spread spectrum radar; CRB; Costas frequency hops; Cramer-Rao bounds; ambiguity function approximation; lower variance bound; mathematical approach; modified Costas signals; radar signal estimation; standard Costas signals;
Journal_Title :
Electronics Letters
DOI :
10.1049/el.2015.1092