Designing Sequence With Minimum PSL Using Chebyshev Distance and its Application for Chaotic MIMO Radar Waveform Design

Abstract

Controlling peak side-lobe level (PSL) is of great importance in high-resolution applications of multiple input multiple output (MIMO) radars. In this paper, designing sequences with good autocorrelation properties are studied. The PSL of the autocorrelation is regarded as the main merit and is optimized through newly introduced cyclic algorithms, namely; PSL Minimization Quadratic Approach (PMQA), PSL Minimization Algorithm, the smallest Rectangular (PMAR) and PSL Optimization Cyclic Algorithm (POCA). It is revealed that minimizing PSL results in better sequences in terms of autocorrelation side-lobes when compared with traditional integrated side-lobe level (ISL) minimization. In order to improve the performance of these algorithms, fast-randomized Singular Value Decomposition (SVD) is utilized. To achieve waveform design for MIMO radars, this algorithm is applied to the waveform generated from a modified Bernoulli chaotic system. The numerical experiments confirm the superiority of the newly developed algorithms compared to high-performance algorithms in mono-static and MIMO radars.

Algorithms for Designing Unimodular Sequences with High Doppler Tolerance for Simultaneous Fully Polarimetric Radar

“…Before solving the optimization problem of Equation (15), it should be emphasized that, in some radar applications, the maximum difference between the arrival times of the sequences of interest is smaller than the duration of the emitted sequences [13,14,15,16,26]. This means that only the partial side-lobes of the correlation function need to be small, instead of making all the side-lobes small.…”

“…However, their algorithm named “monotonic minimizer (MM) for $l_p$-metric” lacks the ability to suppress a specified part of the autocorrelation function. It should be pointed out that, in some radar applications, the maximum difference between the arrival time of the interest sequences is smaller than the duration of the emitted sequences [13,14,15,16]. Hence, only the partial side-lobes of the correlation function are needed to be low.…”

“…Hence, only the partial side-lobes of the correlation function are needed to be low. In addition, Esmaeili-Najafabadi et al [14] proposed a series of cyclic algorithms (CA), including PSL Minimization Quadratic Approach (PMQA), PSL minimization Algorithm where the smallest Rectangular (PMAR), PSL Optimization Cyclic Algorithm (POCA) and Randomized PSL Optimization Cyclic Algorithm (RPOCA), by using the Chebyshev distance and $l_{\infty }$ norm. They addressed the problem of optimizing the specified part of the autocorrelation function.…”

“…The low cross-correlation side-lobes improve the estimation accuracy of BSM, the low autocorrelation side-lobes increase the detection performance of weak targets and the high Doppler tolerance enhances the adaptability of the waveforms to the movement of targets. In most studies, this design problem has been usually reformulated as an optimization of a complex matrix [12,13,14,15,16,17,23]. The requirements of Doppler tolerance, autocorrelation and cross-correlation properties make the optimization problem difficult.…”

Multistage Dynamic Packet Access Mechanism of Internet of Things

“…e DNSFLA algorithm, which is based on SFLA algorithm, applies the advantages of niche technology to maintain the solutions' diversity and has a better capacity in the overall search for an optimal solution and convergence and speeds up the elimination of the worst solution and increases the accuracy of the best solution. e idea behind the DNSFLA algorithm is that after dividing the subgroups by the SFLA algorithm, Chebyshev distance [43] is compared in pairs between X ib and X jb of the subgroups:…”