基于抽取与重构的瞬时频率估计算法

Instantaneous frequency estimation algorithm based on extraction and reconstruction

研究了在AWGN信道中载波信号采样序列瞬时频率的概率密度分布模型,并通过假设检验验证该分布模型。分析了不同采样速率和信噪比对瞬时频率概率密度分布的影响,根据该分析结论提出了一种基于抽取与重构的瞬时频率的估计算法,并且对该算法的性能进行了详细的分析;还对多载波信号采样序列瞬时频率产生混叠以至无法分辨的情况进行分析,并推导了瞬时频率完全混叠时的极限公式。最后通过蒙特—卡罗仿真验证了提出的瞬时频率的概率密度分布的正确性。

Additive white Gaussian noise（AWGN） channel carrier signal instantaneous frequency probability density distribution model is studied,and the distribution model is verified by hypothesis testing.The effect of different sampling rate and SNR on instantaneous frequency probability of density distribution is analyzed.According to the conclusions of the analysis,a method based on extraction and reconstruction of the instantaneous frequency estimation algorithm is presented,and the performance of the algorithm is analyzed in detail.The multi-carrier signal sampling series instantaneous frequency aliasing are also analyzed and the limit formula of the instantaneous frequency aliasing is derived.The correctness of instantaneous frequency of the probability density distribution is verified,through the Monte-Carlo simulation.