Bandwidth optimization and side-lobe levels reduction in PC radar using Legendre orthogonal polynomials

Abstract Time-bandwidth product (TBP), peak side-lobe level (PSL), integrated side-lobe level (ISL), and relative main-lobe width are considered important performance parameters in pulse compression (PC) radar for the selection of transmitting waveforms. In radar system, linear frequency modulated (LFM) waveforms are popular for transmission. LFM waveforms suffer from the range side-lobes problem which affects accurate detection of the target. This paper describes a new transmitting waveform based on Legendre orthogonal polynomial (LOP) for bandwidth optimization and side-lobe levels reduction in PC radar. PC provides the benefits of long duration pulse for better range resolution and detection. Different order LOPs are examined with varying optimizing parameter (γ), and the polynomial giving optimum performance is chosen. Further, different windowing methods are added in cascade to decrease the side-lobes but with the limitation of wider relative main-lobe width. Simulation results indicate that the proposed LOP gives better side-lobe reduction than LFM and Chebyshev chaotic sequences.

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