Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 289819, 15 pages
Research Article

Radar Waveform Design for Extended Target Recognition under Detection Constraints

Department of Electronic Engineering, Tsinghua University, Beijing 100084, China

Received 7 July 2011; Revised 19 October 2011; Accepted 2 November 2011

Academic Editor: J. Rodellar

Copyright © 2012 Huadong Meng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We address the problem of radar phase-coded waveform design for extended target recognition in the presence of colored Gaussian disturbance. Phase-coded waveforms are selected since they can fully exploit the transmit power with sufficient variability. An important constraint, target detection performance, is considered to meet the practical requirements. The waveform is designed to achieve maximum recognition performance under a control on the achievable signal-to-noise ratio (SNR) of every possible target hypothesis. We formulate the code design in terms of a nonconvex, NP-hard quadratic optimization problem in the cases of both continuous and discrete phases. Techniques based on semidefinite relaxation (SDR) and randomization are proposed to approximate the optimal solutions. Simulation results show that the recognition performance and the detection requirements are well balanced and accurate approximations are achieved.