多重自相关函数在微弱正弦信号检测中的应用

研究了一种用于微弱正弦信号检测的新方法，该方法利用了正弦函数的特殊性质，在信号未知的情况下，通过多次自相关运算成功的检测出埋没于强大噪声中的微弱正弦信号．分别讨论了多重自相关法在白噪声背景下、有色噪声背景下，单一正弦信号、多个正弦信号等情况的检测效果，并给出了具体的仿真结果，此方法在频率测量中具有极高的准确性；在幅度测量上，精度略低，但通过多次测量取平均值，仍可达到预期的精度．与以往的弱信号时域处理方法比较，多重自相关检测方法具有理论推导简单、物理意义明确等特点，应用前景广泛。

Estimation of sinusoidal parameters in powerful noise by multi-layer autocorrelation

A new method is introduced that can be used in weak signal detection. Because the sinusoidal signal has a particular autocorrelation trait, it is possible to detect the unknown weak signal in powerful noise. Multiple statuses are studied, such as single sine signal and multi_sine signal, which are disturbed by white noise or colored noise. Through theory analysis and simulation, it is proved that this method can obtain exact frequency measurements. It is less veracious in amplitude measurement, although this problem can be solved by survey averages. Compared with other means, this method can be widely used because it has many virtues such as simple theoretic deduction and explicit physical signification.