Alpha稳定分布混响建模及信号检测

研究了基于对称Alpha稳定分布的浅海环境下混响及噪声的建模问题.分析了浅海环境下混响形成过程及其非高斯特性,采用对称Alpha稳定分布理论对其进行了建模,并从声呐接收端的混响瞬时值以及包络的概率密度分布与Alpha稳定分布的匹配程度验证了模型的有效性.研究了基于对称Alpha稳定分布模型的混响噪声背景下的目标信号检测方法.提出了三种检测方法并进行了仿真测试,通过检测性能及模型的精确性分析了三种方法的优缺点,验证了建模精度对检测性能的影响.

Reverberation modeling and signal detection based on Alpha stable distribution

The research on modeling of reverberation and noise in shallow sea based on symmetry Alpha stable distribution was made.The forming process and non-Gaussian characteristics of shallow sea reverberation were analyzed.The theory of symmetry Alpha stable distribution was used to model the reverberation,and the validity of model was verified by the matchable degree between the probability density distribution of reverberation’s instantaneous scales as well as the envelopes and Alpha stable process.The signal detection methods in the reverberation based on symmetry Alpha stable theory were studied.Three methods for detection were proposed and tested by simulation.The advantages and weakness of the methods were analyzed by their performance,model precision and the effect of model precision to performance validated.