Low sidelobe waveform design with constant modulus constraint for high-frequency radar

Abstract

This article designs waveform in fast-time domain to optimise high-frequency radar performances embedded in the co-channel interference and coloured noise. Considering the whitening filter is applied for fast-time processing, a novel objective function accounting for both signal to interference plus noise ratio (SINR) and integrated range sidelobe level (IRSL) is introduced and the constant modulus constraint is forced on the probing waveform. An iterative algorithm based on the alternating direction method of multipliers is presented, resolving such non-convex quartic optimisation problem with a polynomial-time computational complexity. In each iteration, two quadratic problems are presented, with the closed-form solutions given. Finally, the authors evaluate the effectiveness of the designed waveform in terms of the range-Doppler processing result, SINR, IRSL and power spectrum.

Keywords

• Doppler radar
• filtering theory
• iterative methods
• radar signal processing
• computational complexity
• cochannel interference
• signal denoising
• concave programming
• quadratic programming
• radar interference
• nonconvex quartic optimisation problem
• polynomial-time computational complexity
• range-Doppler processing result
• SINR
• IRSL
• low sidelobe waveform design
• constant modulus constraint
• fast-time domain
• high-frequency radar performances
• co-channel interference
• coloured noise
• whitening filter
• fast-time processing
• integrated range sidelobe level
• probing waveform
• iterative algorithm
• signal to interference plus noise ratio
• alternating direction method of multipliers
• quadratic problems