IEEE Transactions on Signal Processing· 2013Q1
Ambiguity Function Shaping for Cognitive Radar Via Complex Quartic Optimization
- 216citations
- Q1SCImago
- 2013year
Short summary
A new method optimizes phase-only modulated waveforms for cognitive radar by minimizing the ambiguity function's average value over selected range-Doppler bins, using complex quartic polynomial optimization.
AI-generated from the title and abstract; the full text is not read.
Key points
- Proposes a cognitive radar waveform design method using phase-only modulation.
- Minimizes the average ambiguity function over selected range-Doppler bins.
- Formulates the problem as optimizing a complex quartic polynomial with a constant modulus constraint.
- Employs the Maximum Block Improvement (MBI) method and tensor theory for polynomial-time optimization.
AI-generated from the title and abstract; the full text is not read.
Abstract
In this paper, we propose a cognitive approach to design phase-only modulated waveforms sharing a desired range-Doppler response. The idea is to minimize the average value of the ambiguity function of the transmitted signal over some range-Doppler bins, which are identified exploiting a plurality of knowledge sources. From a technical point of view, this is tantamount to optimizing a real and homogeneous complex quartic order polynomial with a constant modulus constraint on each optimization variable. After proving some interesting properties of the considered problem, we devise a polynomial-time waveform optimization procedure based on the Maximum Block Improvement (MBI) method and the theory of conjugate-partial-symmetric/conjugate-super-symmetric fourth order tensors. At the analysis stage, we assess the performance of the proposed technique showing its capability to properly shape the range-Doppler response of the transmitted waveform.
The authors' abstract, as published at the source. IEEE Transactions on Signal Processing, 2013 · DOI ↗
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Field: Computational Mathematics
Computational MathematicsMathematics