Title
Design of phase codes for radar performance optimization with a similarity constraint
Abstract
This paper deals with the design of coded waveforms which optimize radar performances in the presence of colored Gaussian disturbance. We focus on the class of phase coded pulse trains and determine the radar code which approximately maximizes the detection performance under a similarity constraint with a prefixed radar code. This is tantamount to forcing a similarity between the ambiguity functions of the devised waveform and of the pulse train encoded with the prefixed sequence. We consider the cases of both continuous and finite phase alphabet, and formulate the code design in terms of a nonconvex, NP-hard quadratic optimization problem. In order to approximate the optimal solutions, we propose techniques (with polynomial computational complexity) based on the method of semidefinite program (SDP) relaxation and randomization. Moreover, we also derive approximation bounds yielding a "measure of goodness" of the devised algorithms. At the analysis stage, we assess the performance of the new encoding techniques both in terms of detection performance and ambiguity function, under different choices for the similarity parameter. We also show that the new algorithms achieve an accurate approximation of the optimal solution with a modest number of randomizations.
Year
DOI
Venue
2009
10.1109/TSP.2008.2008247
IEEE Transactions on Signal Processing
Keywords
Field
DocType
pulse train,radar code,code design,optimal solution,similarity parameter,optimize radar performance,ambiguity function,similarity constraint,prefixed radar code,radar performance optimization,phase code,detection performance,design optimization,randomization,constraint optimization,covariance matrix,quadratic optimization,gaussian noise,approximation algorithms,computational complexity,quadratic programming
Ambiguity function,Radar,Similitude,Approximation algorithm,Mathematical optimization,Algorithm,Quadratic programming,Prefix code,Mathematics,Constrained optimization,Computational complexity theory
Journal
Volume
Issue
ISSN
57
2
1053-587X
Citations 
PageRank 
References 
39
2.50
13
Authors
5
Name
Order
Citations
PageRank
Antonio De Maio172148.03
Silvio De Nicola2725.40
Yongwei Huang381450.83
Zhi-Quan Luo47506598.19
Shuzhong Zhang52808181.66