Chebyshev chaotic polynomials for MIMO radar waveform generation. Issue 2 (1st February 2017)

• Record Type: Journal Article
• Authors: Esmaeili Najafabadi, Hamid; Ataei, Mohammad; Sabahi, Mohamad Farzan
• Is Part Of: IET radar, sonar & navigation. Volume 11:Issue 2(2017)
• Page Start: 330
• Page End: 340
• Publication Date: 2017-02-01
• Subjects: chaotic communication -- waveform generators -- pulse compression -- sequences -- spectral analysis -- correlation methods -- Chebyshev approximation -- MIMO radar -- computational complexity; Chebyshev chaotic polynomials -- MIMO radar waveform generation -- Chebyshev chaotic maps -- pulse compression -- multiple‐input multiple‐output radars -- one‐dimensional chaotic maps -- peak‐to‐average power ratio -- PAPR -- merit factor -- integrated side‐lobe ratio -- ISLR -- peak side‐lobe ratio -- cross‐correlation levels -- algorithm complexity -- flat spectrum -- sequence generation -- spectral efficiency -- autocorrelation side‐lobe improvement; Signal processing -- Periodicals; Radar -- Periodicals; Sonar -- Periodicals; Electronics in navigation -- Periodicals; Navigation -- Periodicals; 621.3848
• DOI: 10.1049/iet-rsn.2016.0270
• Languages: English
• ISSNs: 1751-8784

Abstract

Abstract : In this study, the use of a family of Chebyshev chaotic maps for pulse compression in multiple input–multiple output (MIMO) radars is studied. It is shown that, these one‐dimensional chaotic maps, which are amongst the simplest chaotic systems, can produce arbitrary number of sequences with arbitrary length, low peak‐to‐average power ratio (PAPR), high merit factor (MF) or equivalently low integrated side‐lobe ratio (ISLR), very low peak side‐lobe ratio and low cross‐correlation levels. The complexity of algorithm for generating sequences in this method is linear. Besides, because of the flat spectrum of the generated sequences, high spectral efficiency can be achieved utilising these sequences. Moreover, simplicity of the map results in cheap building blocks of MIMO radars. Additionally, a simple method to improve the autocorrelation side‐lobe is given. By lowering the autocorrelation side‐lobes, ISLR or equivalently MF is enhanced. Nevertheless, in comparison with well‐designed unimodular sequences, the produced sequences show higher PAPRs. By utilising a PAPR reduction mechanism, this shortcoming is alleviated.