Sequences design using orthogonal polynomials to mitigate side-lobes for MIMO radar and SAR imaging application

Abstract

Transmit radar sequences are designed for side-lobes mitigation in multiple-input multiple-output (MIMO) radar systems. This paper uses orthogonal polynomials to design sequences by varying the optimizing parameter γ to achieve significant bandwidth and minimal side-lobes simultaneously. Those polynomial orders are chosen which provide the wider bandwidth at optimal γ value. The value of γ has to be optimized for higher side-lobes reduction. In MIMO radar, the proposed Chebyshev orthogonal polynomial (COP) and Legendre orthogonal polynomial (LOP) sequences are analyzed with different numbers of transmitting antennas to mitigate peak side-lobe levels (PSL) and cross-correlation side-lobe levels (CCSL). Further, the least square estimate (LSE) and Capon estimate (CE) techniques are used to analyze the performance of the designed sequences for synthetic aperture radar (SAR) imaging applications. The proposed sequences effectiveness is compared to the counterpart methods for validation purposes.