一种新型的基于相关特性的信号重构算法

A New Signal Reconstruction Algorithm Based on Correlation Characteristics

提出了一种能有效补偿噪声影响的信号重构算法。在噪声背景下,要想准确地恢复那些发生了非线性畸变的信号,通常是很困难的。在许多信号重构的算法中,大多都忽略了噪声的影响。这样就丢失了许多有用信息,尤其在要求实时处理的情况下会使信号误差变大。鉴于此,文中将噪声的影响考虑进来,利用接收到的信号与处理过的输出信号的相关特性建立目标函数,通过调节相关系数使目标函数达到最小值并且一定程度上抑制了噪声,从而使原始信号得到相对准确的恢复。同时,文中的算法易于实现信号的实时处理。通过计算机仿真验证了文中该算法的有效性和可行性。提出的算法对精密仪器检测、通信系统、语音信号处理等领域具有一定的参考价值。

An algorithm for the signal reconstruction to compensate efficiently the effect of noise is proposed. In the presence of noise, it is difficult to restore exactly a signal distorted by a system having static,invertible, nonlinear characteristics. For signal reconstruction, most of recent algorithms ignore the effect of noise, which will loss much important information and sometimes make the reconstructed signals have larger bias. Based on that, it takes the effect of noise into account, utilizes the correlation between the processed outputs and the received inputs to establish the objective function and makes the objective function minimum by adjusting correlation coefficient. Thus the noise is suppressed and the original signal is reconstructed at the price of bearable bias. It is easy to realize real-time signal processing by the proposed algorithm . The validity and feasibility of the algorithm are confirmed through computer simulations. The algorithm will be of certain reference value in precision instrument detection ,communication system ,sound signals processing etc.