Author(s)

Laibao Cao, Dexing Li, Kai Zhou, Chunlin Huang, Tao Liu and Cheng Chen

Corresponding Author

Laibao Cao

ABSTRACT

Recently, unimodular sequence with good correlation and stopband has attracted considerable attention because it not only benefits the suppression of range sidelobe but also helps to avoid narrowband interference and electronic jamming. In this paper, an algorithm is proposed to design sequence with suppressed integrated sidelobe level (ISL) and stopband power spectrum density based on alternating direction method of multipliers (ADMM). The design problem is formulated as constrained bi-objective optimization problem. By applying the Pareto optimization framework and parallelogram identity, the metric is rewritten as sum of two quadratic functions. The optimization problem is further simplified as quadratically constrained linear program and linearly constrained quadratic program via variable separation. The simplified optimization problem is then solved by ADMM. Additionally, the computation complexity is reduced in the most computationally demanding step based on truncated singular value decomposition (TSVD) and fast Fourier transform (FFT). The numerical simulations demonstrate the effectiveness of the proposed algorithms.

KEYWORDS

Unimodular sequence design, spectral stopband, integrated sidelobe level (ISL), alternating direction method of multipliers (ADMM), truncated singular value decomposition (TSVD)