Carrier Frequency Estimation of Radar Signal Based on Fuzzy Solution Library and Chinese Remainder Theorem

doi:10.12382/bgxb.2023.0521

Abstract

Abstract:

Radar reconnaissance receiver is required to have ultra-wideband receiving ability to obtain the high probability of interception. Because of the hardware limitations, the conventional receiver based on the Nyquist sampling theorem is difficult to achieve instantaneous ultra-wideband receiving. The under-sampling theory based on the Chinese remainder theorem (CRT) provides a feasible approach for ultra-wideband receiving. However, the traditional frequency estimation method for CRT requires a coprime among the modulus values, and the number of sampled points must be the greatest common divisor of the modulus. To overcome these limitations, a fuzzy solution library is constructed. A precise carrier frequency estimation method of radar signal is proposed based on the fuzzy solution library and CRT, which uses the one-to-one mapping relationship between remainder and signal frequency. The proposed method has no need to solve the congruence equation system, and relaxes the requirements for the sampling frequency and the number of sampling points. Finally, the effectiveness of the proposed method is verified through simulation experiments. Compared with the traditional CRT algorithms, the proposed method has no necessity to change the modulus when estimating the carrier frequencies of different radar signals, which is more convenient for engineering applications. Meanwhile, the proposed method provides good estimation accuracy and noise resistance.

Key words: ultra-wideband receiving, Chinese remainder theorem, fuzzy solution library, frequency estimation

CLC Number:

TN911.72

LI Bowen, QIU Zhaoyang, LIU Yifei, CAO Bin, SUN Minhong. Carrier Frequency Estimation of Radar Signal Based on Fuzzy Solution Library and Chinese Remainder Theorem[J]. Acta Armamentarii, 2024, 45(8): 2784-2792.

Figures/Tables 7

Fig.1 Frequency estimation method of CRT in closed form

Fig.2 Flowchart of signal carrier frequency estimation

Fig.3 RMSE of carrier frequency estimation

Fig.4 Comparison of NRMSEs of single carrier frequency signal and LFM signal

Fig.5 Comparison of NRMSEs (fc1=16.5kHz,fc2=18.5kHz)

Fig.6 Comparison of NRMSEs (fc1=15.5kHz,fc2=16.5kHz)

Fig.7 Comparison of NRMSEs of two algorithms

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