Jointly Optimal Design for MIMO Radar Frequency-Hopping Waveforms Using Game Theory

Abstract

Using a colocated multiple input/multiple output (MIMO) radar system, we consider the problem of joint design of amplitudes and frequency-hopping codes for frequency-hopping waveforms. The joint design method yields better combined code and amplitude matrices that result in improved performance over that of separate designs. We propose a game theory framework for the joint design. First, we present the MIMO radar signal model and the sparse representation. Then the problem formulation is constructed based on sparse recovery and the ambiguity function of the MIMO radar system for frequency-hopping waveforms. For amplitude design, we propose two strategies: amplitude design with separate constraints and amplitude design by fusing all transmitters. We formulate a novel game model and propose two joint design algorithms, one applying a noncooperative scheme and the other applying a cooperative scheme. Owing to the extremely large size of the feasible set of the discrete code, we propose to use these algorithms to obtain the epsilon-approximate equilibrium. We demonstrate the improvement of the resulting codes and amplitudes through numerical examples.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2016
Accession Number
AD1015309

Entities

People

  • Arye Nehoral
  • Keyong Han

Organizations

  • Washington University in St. Louis

Tags

Communities of Interest

  • Energy and Power Technologies
  • Sensors
  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Amplitude
  • Arrays
  • Compressed Sensing
  • Computational Complexity
  • Cross Correlation
  • Doppler Effect
  • Engineering
  • Frequency
  • Frequency Agility
  • Game Theory
  • Genetic Algorithms
  • Measurement
  • Mimo Radar
  • Optimization
  • Radar
  • Systems Engineering

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Radio communications and signal processing.