Conjugate CRT Based Radar Application for Velocity Estimation of a Wanton Poignant Object Using Synchrocuddling Chriplet Transformation

International Journal of Electronics and Communication Engineering

© 2025 by SSRG - IJECE Journal

Volume 12 Issue 6

Year of Publication : 2025

Authors : Bentipalli Sekhar, G.Appala Naidu, K. Babulu

10.14445/23488549/IJECE-V12I6P103

How to Cite?

Bentipalli Sekhar, G.Appala Naidu, K. Babulu, "Conjugate CRT Based Radar Application for Velocity Estimation of a Wanton Poignant Object Using Synchrocuddling Chriplet Transformation," SSRG International Journal of Electronics and Communication Engineering, vol. 12,  no. 6, pp. 29-43, 2025. Crossref, https://doi.org/10.14445/23488549/IJECE-V12I6P103

Abstract:

The Conjugate CRT Based Radar Application for velocity estimation leverages advanced techniques to track a wanton poignant object using Synchrocuddling Chirplet Transformation precisely. This method combines the Conjugate Chinese Remainder Theorem (CRT) with radar signal processing to address phase ambiguities and accurately estimate velocity. Additionally, the effectiveness of the Synchrocuddling Chirplet Transformation depends on accurately capturing and analyzing high-frequency variations, which can be computationally intensive and require precise calibration. Furthermore, integrating the Conjugate Chinese Remainder Theorem (CRT) with radar signal processing adds complexity to the system, potentially leading to increased processing times and the need for robust algorithms to handle modular arithmetic effectively. Addressing these issues is crucial for ensuring accurate and efficient velocity estimation, particularly in dynamic and high-speed tracking scenarios. The paper presents an innovative methodology to retrieve slant range velocity estimates for moving targets, which induce a Dopler-shift beyond the Nyquist limit determined by the Pulse Repetition Frequency (PRF). The implemented method takes advantage of the fact that the range velocity of a moving target induces a Doppler shift in the azimuth spectra, which depends linearly on the fast-time frequency. Finally, an enhanced chirplet transform and synchrosqueezing transform method termed Synchrocuddling Chriplet transformation is proposed to estimate the velocity of a discrete tone source in uniform linear motion. This method directly uses the relation of the observed instantaneous frequency to the source velocity as the moto function of the chirplet transform. Second-order synchrosqueezing transform (SSST) is proposed based on the square of STFT amplitude. Time-frequency resolution and energy aggregation are improved by squeezing and reassigning the time-frequency spectrum. Most of the complicated arithmetic operations are derived using the conjugate CRT process.

Keywords:

Doppler-shift, Synchrosqueezing, Second-order synchrosqueezing transform, Pulse repetition frequency, Synthetic aperture radar, Short-time fourier transform, Residue number system.

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