Image Signal Processing Using Adaptive Volterra Filter with Lattice Structure

高速移动通信信道通常受到非线性码间干扰(ISI)和加性噪声的影响。为了重建传输的数据序列，必须在接收端对码间干扰进行补偿，这种补偿被称为信道均衡。由于线性滤波理论的结果在设计和实现上都很简单，所以线性滤波理论的结果在应用中表现出了相当大的兴趣。然而，在电信系统中，由于传输数据的差错概率几乎完全是由非线性失真引起的，它们不能在高于4800比特/S的速率的电话信道上充分发挥作用。Volterra系统模型是一种非常常见的系统模型，在非线性滤波应用中取得了较好的成功，如系统辨识和非线性系统的噪声消除器。Volterra模型是由Volterra级数展开式提出的，该展开式是泰勒级数展开式的推广。在本项目中，我们设计了基于Volterra模型的非线性均衡器，并通过仿真验证了所提均衡器的有效性。

High speed mobile communication channels are usually impaired by nonlinear intersymbol interference(ISI) and additive noise. In order to reconstruct the transmitted data sequence, the ISI must be compensated at the receiver and the compensation is referred to as channel equalization.A considerable interest has been shown in the application of the results of linear filter theory, because the linear filters are its simplicity in design and implementation. However, they will not perform adequately for telephone channel at rates higher than 4800 bits/s in telecommunication systems since the error probability of transmitting data is caused almost entirely by nonlinear distortion. A very common system model that has been employed with relatively good success in nonlinear filtering applications, such as system identification and noise canceller of nonlinear system, is the Volterra system model. The Volterra model is presented by the Volterra series expansion that is well known as a generalization of the Taylor series expansion.In this project, we designed nonlinear equalizer based on Volterra model and the validity of the proposed equalizer are demonstrated by simulations.