Fractal characteristics for binary noise radar waveform

Bing C. Li

doi:10.1117/12.2223221

12 May 2016 Fractal characteristics for binary noise radar waveform

Bing C. Li

Proceedings Volume 9829, Radar Sensor Technology XX; 98290G (2016) https://doi.org/10.1117/12.2223221
Event: SPIE Defense + Security, 2016, Baltimore, MD, United States

Abstract

Noise radars have many advantages over conventional radars and receive great attentions recently. The performance of a noise radar is determined by its waveforms. Investigating characteristics of noise radar waveforms has significant value for evaluating noise radar performance. In this paper, we use binomial distribution theory to analyze general characteristics of binary phase coded (BPC) noise waveforms. Focusing on aperiodic autocorrelation function, we demonstrate that the probability distributions of sidelobes for a BPC noise waveform depend on the distances of these sidelobes to the mainlobe. The closer a sidelobe to the mainlobe, the higher the probability for this sidelobe to be a maximum sidelobe. We also develop Monte Carlo framework to explore the characteristics that are difficult to investigate analytically. Through Monte Carlo experiments, we reveal the Fractal relationship between the code length and the maximum sidelobe value for BPC waveforms, and propose using fractal dimension to measure noise waveform performance.

Citation Download Citation

Bing C. Li "Fractal characteristics for binary noise radar waveform", Proc. SPIE 9829, Radar Sensor Technology XX, 98290G (12 May 2016); https://doi.org/10.1117/12.2223221

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