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Code Design to Optimize Radar Detection Performance Under Accuracy and Similarity Constraints
- Source :
- IEEE Transactions on Signal Processing. 56:5618-5629
- Publication Year :
- 2008
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2008.
-
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 linearly coded pulse trains and determine the optimum radar code according to the following criterion: maximization of the detection performance under a control on the region of achievable Doppler estimation accuracies, and imposing a similarity constraint with a prefixed radar code. This last constraint is tantamount to requiring a similarity between the ambiguity functions of the devised waveform and of the pulse train encoded with the prefixed sequence. The resulting optimization problem is nonconvex and quadratic. In order to solve it, we propose a technique (with polynomial computational complexity) based on the relaxation of the original problem into a semidefinite program. Thus, the best code is determined through a rank-one decomposition of an optimal solution of the relaxed problem. At the analysis stage, we assess the performance of the new encoding technique in terms of detection performance, region of achievable Doppler estimation accuracies, and ambiguity function.
- Subjects :
- Prefix code
Mathematical optimization
Optimization problem
Computational complexity theory
Ambiguity function
Doppler radar
Constrained optimization
law.invention
POLYPHASE BARKER SEQUENCES
law
Signal Processing
ALGORITHM
Quadratic programming
Electrical and Electronic Engineering
Radar
Mathematics
Subjects
Details
- ISSN :
- 19410476 and 1053587X
- Volume :
- 56
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Signal Processing
- Accession number :
- edsair.doi.dedup.....a6135d10f7dadb6931b93a9b19f9e87a