Open AccessAmbiguity Function of Symmetric Triangular Frequency Modulated Continuous Waveform
Author(s) -
Jing Liu,
Zhou Xin-gang,
Yanyan Zhu
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/768/5/052110
Subject(s) - ambiguity function , waveform , ambiguity , function (biology) , amplitude , mathematical analysis , diagonal , instantaneous phase , mathematics , physics , optics , geometry , quantum mechanics , filter (signal processing) , evolutionary biology , computer science , biology , linguistics , philosophy , voltage , computer vision
The ambiguity function of Linear Frequency Modulated (LFM) pulse compression signal has been discussed widely, but the ambiguity function of LFM continuous waveform (CW) is rarely heard about. In this paper, the Single Periodic Ambiguity Function (SPAF) of Symmetric Triangular Frequency Modulated Continuous Waveform (STFMCW) is analytically derived in an explicit form, and its Periodic Ambiguity Function (PAF) is obtained by the relationship between SPAF and PAF. According to both theoretical analysis and simulated results, it is obtained that the dominant feature of the SPAF about STFMCW is the intact X-shaped diagonal ridge and two halves with 3 peaks, and a low pedestal which has a shape of the figure “8”. Using the frequency-difference of up-sweep and down-sweep respectively, the range-velocity coupling can be eliminated for a moving target. And any cuts of SPAF or PAF of STFMCW can be gotten.