Parameters Estimation Algorithm of Linear Frequency Modulated Continuous Wave Signals Based on Period Choi-Williams Hough Transform
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摘要: 在采用聯(lián)合CWH(Choi-Williams Hough)變換估計多周期線性調頻連續(xù)波(LFMCW)信號的參數(shù)時，當觀察時間大于一個周期時，輸出信號的信噪比不再隨時間的增加而增大，且時頻圖中會出現(xiàn)多個峰值干擾信號參數(shù)的估計。結合CWH對LFMCW 信號的能量聚集和相干累積思想，該文提出一種基于周期CWH變換的多周期LFMCW信號的參數(shù)估計算法，給出了多周期LFMCW信號的PCWH變換公式；分析了PCWH輸出信噪比與觀測時間和觀測樣本信噪比的關系；分析了參數(shù)估計精度。最后，數(shù)值仿真驗證了該算法的有效性，證明在對多周期LFMCW信號參數(shù)估計時，PCWH更優(yōu)。
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關鍵詞:
- 信號處理 /
- 線性調頻連續(xù)波 /
- Choi-Williams Hough變換 /
- 周期Choi-William Hough變換 /
- 參數(shù)估計
Abstract: When using a Choi-Williams Hough (CWH) transform to estimate the parameters of the Linear Frequency Modulated Continuous Wave (LFMCW) signals, the signal observation time is longer than a period, the output SNR at the true parameter value does not increase with the observation time increasing and there are multiple peaks in the time-frequency image. In virtue of the energy congregation of CWH for LFMCW signals and the coherent integrator in signal processing, a multiple period LFMCW signals parameters estimation method based on period CWH (PCWH) is studied. Firstly, the PCWH formula of the multiple period LFMCW signals is given. Then the relationship among the output SNR of PCWH, the observation time and the sample signal SNR is analyzed. Finally, the estimation accuracy formula of PCWH is derived. The numerical simulation shows that the effectiveness of the proposed method and the PCWH is superior to CWH for estimating a multiple periods LFMCW signal. -
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