Abstract

In this paper, we investigate a novel framework on the waveform optimization for multiple-input multiple-output (MIMO) radar systems under assumptions of statistical information of scattering matrices and colored noise. Different from most of traditional designs under total power constraint, in our framework, a general power constraint named as multiple weighted power constraints is provided, which includes total power constraint, per-antenna power constraints as its special cases. In the framework, the transmit and receive correlations of parameter matrix to estimate and the spatial and time correlations of noise matrix are all taken into account. Moreover, the signal-dependent interference is also taken into account, which can be considered as a self-interference noise. Based on the available statistics of scattering matrices and colored noise, two kinds of estimation schemes are proposed in this paper, which can realize different trade-offs between complexity and performance. Finally, some numerical results are given to demonstrate the performance advantages of the proposed radar waveform designs.

Highlights

  • Multiple-input multiple-output (MIMO) technology has been one of the most important technologies for both modern communication systems [1]–[5] and radar systems [6], [7]

  • In this paper we investigate a framework on radar waveform optimizations for MIMO radar systems under statistical information of scattering matrices and colored noise

  • For given waveform X, the optimal left estimator GL can be derived based on linear minimum mean square error (LMMSE) criterion and can be written as

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Summary

INTRODUCTION

Multiple-input multiple-output (MIMO) technology has been one of the most important technologies for both modern communication systems [1]–[5] and radar systems [6], [7]. With second-order statistics of scattering matrices in radar systems and that of noise available from the surrounding environment or pre-transmitted waveforms, minimum mean square error (MMSE) [23]–[26] and mutual information maximization (MIM) [23], [24], [27] become the two most widely used performance criteria in prior works Power constraint is another integral part of the waveform optimizations for MIMO radar systems. To find an appropriate waveform for target identification and parameter estimation in the presence of clutter, in this paper, we investigate the radar waveform optimization in a unified point of view In this framework, the radar waveform optimization with both total and per-antenna power constraints are taken into consideration under the assumption of statistical information of scattering matrices.

SYSTEM MODEL
SUCCESSIVE CONVEX APPROXIMATION
1: Initialization
MATRIX SPECTRUM RELAXATION BASED ALGORITHM
UNITARY MATRIX APPROXIMATION
WAVEFORM OPTIMIZATION FOR RIGHT ESTIMATION
SIMULATION RESULTS
CONCLUSIONS

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