Uncertainty Principle of Ambiguity Function in Linear Canonical Transform Domain

Hongcai Xin*, Bingzhao Li, Huiqin Xie

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The ambiguity function (AF) and its related uncertainty function are essential time-frequency analysis method for the waveform properties and echo-location in radar and optical applications. This paper devotes to investigate new uncertainty principles of AF in linear canonical transform domain (AFL) for complex-value function. Firstly, the moments of AFL are defined to measure mean and the covariance of signal in time and frequency domain. Then new uncertainty principles of AFL are proposed related to moments, which capture lower bounds for product of time delay and Doppler spreads. The lower bound can be only achieved by Gaussian-type function. Furthermore, an example with Gaussian-type function is performed to verify the correctness of proposed uncertainty principles. Finally, potential applications of derived theorems are explored in the field of radar.

Original languageEnglish
Title of host publication2024 3rd International Conference on Electronics and Information Technology, EIT 2024
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages734-738
Number of pages5
ISBN (Electronic)9798350369151
DOIs
Publication statusPublished - 2024
Event3rd International Conference on Electronics and Information Technology, EIT 2024 - Hybrid, Chengdu, China
Duration: 20 Sept 202422 Sept 2024

Publication series

Name2024 3rd International Conference on Electronics and Information Technology, EIT 2024

Conference

Conference3rd International Conference on Electronics and Information Technology, EIT 2024
Country/TerritoryChina
CityHybrid, Chengdu
Period20/09/2422/09/24

Keywords

  • Ambiguity function
  • Complex-value function
  • Linear canonical transform
  • Moments
  • Uncertainty principle

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