Product Cubic Phase Function Algorithm for Estimating the Instantaneous Frequency Rate of Multicomponent Two-Dimensional Chirp Signals

2008 ◽  
Author(s):  
Kunlei Zhang ◽  
Shuxun Wang ◽  
Fan Cao
Keyword(s):  
Instantaneous Frequency ◽  
Phase Function ◽  
Cubic Phase ◽  
Two Dimensional ◽  
Frequency Rate ◽  
Chirp Signals ◽  
Cubic Phase Function

scholarly journals An Inverse Synthetic Aperture Ladar Imaging Algorithm of Maneuvering Target Based on Integral Cubic Phase Function-Fractional Fourier Transform

Electronics ◽  
2018 ◽  
Vol 7 (8) ◽  
pp. 148 ◽  
Author(s):  
Yakun Lv ◽  
Yanhong Wu ◽  
Hongyan Wang ◽  
Lei Qiu ◽  
Jiawei Jiang ◽  
...  
Keyword(s):  
Fourier Transform ◽  
Phase Function ◽  
Fractional Fourier Transform ◽  
Doppler Frequency ◽  
Synthetic Aperture ◽  
Cubic Phase ◽  
Echo Signal ◽  
Imaging Algorithm ◽  
Maneuvering Target ◽  
Cubic Phase Function

When imaging maneuvering targets with inverse synthetic aperture ladar (ISAL), dispersion and Doppler frequency time-variation exist in the range and cross-range echo signal, respectively. To solve this problem, an ISAL imaging algorithm based on integral cubic phase function-fractional Fourier transform (ICPF-FRFT) is proposed in this paper. The accurate ISAL echo signal model is established for a space maneuvering target that quickly approximates the uniform acceleration motion. On this basis, the chirp rate of the echo signal is quickly estimated by using the ICPF algorithm, which uses the non-uniform fast Fourier transform (NUFFT) method for fast calculations. At the best rotation angle, the range compression is realized by FRFT and the range dispersion is eliminated. After motion compensation, separation imaging of strong and weak scattering points is realized by using ICPF-FRFT and CLEAN technique and the azimuth defocusing problem is solved. The effectiveness of the proposed method is verified by a simulation experiment of an aircraft scattering point model and real data.

scholarly journals Group Delay Dispersion Measurement From a Spectral Interferogram Based on the Cubic Phase Function

2014 ◽  
Vol 6 (6) ◽  
pp. 1-9 ◽  
Author(s):  
Chongxiang Zeng ◽  
Hongxia Zhang ◽  
Dagong Jia ◽  
Tiegen Liu ◽  
Yimo Zhang
Keyword(s):  
Phase Function ◽  
Group Delay ◽  
Group Delay Dispersion ◽  
Cubic Phase ◽  
Dispersion Measurement ◽  
Cubic Phase Function

Parameter Estimation of Multicomponent Cubic Phase Signals

2013 ◽  
Vol 380-384 ◽  
pp. 3726-3729
Author(s):  
Peng Fei Tang ◽  
Bin Yuan ◽  
Qian Qiang Lin ◽  
Zeng Ping Chen
Keyword(s):  
Parameter Estimation ◽  
Numerical Simulations ◽  
Phase Function ◽  
Cubic Phase ◽  
Chirp Rate ◽  
Signal Component ◽  
Phase Signal ◽  
Cubic Phase Function

This paper presents an algorithm for estimating the parameters of multicomponent cubic phase signals. This algorithm combines the product generalized cubic phase function (PGCPF) and the product cubic phase function (PCPF) which are used to estimate the cubic phase coefficient and chirp rate of the cubic phase signal, respectively. This algorithm starts by estimating the parameters of the signal component with the strongest amplitude. Then removing the signal component whose parameters have been estimated, it proceeds to estimate the next signal component, and so on, until all of the signal components have been estimated. Numerical simulations are carried out to validate the performance of the proposed algorithm.

scholarly journals Extending the Performance of the Cubic Phase Function Algorithm

2007 ◽  
Vol 55 (10) ◽  
pp. 4767-4774 ◽  
Author(s):  
Maree Farquharson ◽  
Peter O'Shea
Keyword(s):  
Phase Function ◽  
Cubic Phase ◽  
Cubic Phase Function

scholarly journals Detection of LFM Radar Signals and Chirp Rate Estimation Based on Time-Frequency Rate Distribution

Sensors ◽  
2021 ◽  
Vol 21 (16) ◽  
pp. 5415
Author(s):  
Ewa Swiercz ◽  
Dariusz Janczak ◽  
Krzysztof Konopko
Keyword(s):  
Parameter Estimation ◽  
Instantaneous Frequency ◽  
Estimation Methods ◽  
Joint Analysis ◽  
Cubic Phase ◽  
Chirp Rate ◽  
Time Frequency ◽  
Rate Estimation ◽  
Detection And Estimation ◽  
Frequency Rate

Linear frequency-modulated (LFM) signals are the most significant example of waveform used in low probability of intercept (LPI) radars, synthetic aperture radars and modern communication systems. Thus, interception and parameter estimation of the signals is one of the challenges in Electronic Support (ES) systems. The methods, which are widely used to accomplish this task are mainly based on transformations from time to time-frequency domain, which concentrate the energy of signals along an instantaneous frequency (IF) line. The most popular examples of such transforms are the short time Fourier transform (STFT) and Wigner-Ville distribution (WVD). However, for LFM waveforms, methods that concentrate signal energy along a line in the time-frequency rate domain may allow to obtain better detection and estimation performance. This type of transformation can be obtained using the cubic phase (CP) function (CPF). In the paper, the detection of LFM waveform and its chirp rate (CR) parameter estimation based on the extended forms of the standard CPF is proposed. The CPF was originally introduced for instantaneous frequency rate (IFR) estimation for quadratic frequency modulated (QFM) signals i.e., cubic phase signals. Summation or multiplication operations on time cross-sections of the CPF allow to formulate the extended forms of the CPF. Based on these forms, detection test statistics and the estimation procedure of LFM signal parameters have been proposed. The widely known estimation methods assure satisfying accuracy for high SNR levels, but for low SNRs the reliable estimation is a challenge. The proposed approach based on joint analysis of detection and estimation characteristics allows to increase the reliability of chirp rate estimates for low SNRs. The results of Monte-Carlo simulation investigations on LFM signal detection and chirp rate estimation evaluated by the mean squared error (MSE) obtained by the proposed methods with comparisons to the Cramer-Rao lower bound (CRLB) are presented.

Coherently integrated cubic phase function for multiple LFM signals analysis

2015 ◽  
Vol 51 (5) ◽  
pp. 411-413 ◽  
Author(s):  
Jia Su ◽  
Hai‐hong Tao ◽  
Xuan Rao ◽  
Jian Xie ◽  
Xiao‐lu Guo
Keyword(s):  
Phase Function ◽  
Cubic Phase ◽  
Cubic Phase Function
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