English

Noise-Type Radars: Probability of Detection vs. Correlation Coefficient and Integration Time

Signal Processing 2022-08-09 v1

Abstract

Noise radars have the same mathematical description as a type of quantum radar known as quantum two-mode squeezing radar. Although their physical implementations are very different, this mathematical similarity allows us to analyze them collectively. We may consider the two types of radars as forming a single class of radars, called noise-type radars. The target detection performance of noise-type radars depends on two parameters: the number of integrated samples and a correlation coefficient. In this paper, we show that when the number of integrated samples is large and the correlation coefficient is low, the detection performance becomes a function of a single parameter: the number of integrated samples multiplied by the square of the correlation coefficient. We then explore the detection performance of noise-type radars in terms of this emergent parameter; in particular, we determine the probability of detection as a function of this parameter.

Keywords

Cite

@article{arxiv.2208.03417,
  title  = {Noise-Type Radars: Probability of Detection vs. Correlation Coefficient and Integration Time},
  author = {David Luong and Bhashyam Balaji and Sreeraman Rajan},
  journal= {arXiv preprint arXiv:2208.03417},
  year   = {2022}
}

Comments

7 pages, 7 figures, 2 tables

R2 v1 2026-06-25T01:31:49.188Z