线性调频–伪码卷积性复合信号MCRLB推导

Derivation of modified CRLB of convolution signal combined LFM and PRBC

摘要:

线性调频–伪码卷积性复合信号是一种新型低截获概率信号，在雷达与微小探测器中具有广泛应用，侦察其参数具有重要意义。文章推导了高斯环境下复合信号的修正克拉美-罗下限(MCRLB)，估计参数向量由幅度、载频、调制斜率和码宽组成，多余参数为码与初相。结论表明，MCRLB与多余参数无关，且在估计参数向量确定的条件下，对数形式表示的MCRLB与信噪比成线性关系。

Abstract:

The hybrid waveform combined Linear Frequency Modulated and Pseudo-Random Binary phase Code(LFM-PRBC) is a new type of low probability intercept signal, which is widely adopted in radars and small detectors. It is significant to estimate the parameters of the hybrid waveform. This paper develops the Modified Cramer-Rao Lower Bound(MCRLB) for the modulation parameters of this signal with Gaussian noise. The modulation parameters considered are signal amplitude，carrier frequency, modulation slope and code width, and the nuisance parameters are codes and initial phase. Conclusions indicate that MCRLB is independent with nuisance parameters，and MCRLB in logarithmic form is linear with the Signal to Noise Ratio(SNR) when the vectors of estimated parameters are determined.