基于自适应方法的离散线性正则变换计算

Discrete linear canonical transform computation by adaptive method

线性正则变换(LCT)描述了光学变换上的平方相位系统的影响。提出了一种基于自适应最小均方(LMS)的离散线性正则变换(LCT)算法。文中导出了基于块和基于流的离散LCT算法,同时考虑了基于自适应滤波器的实现架构。提出的计算方法具有天生的并行结构,这使它适用于有效的超大规模集成电路(VLSI),并且对于传输过程中可能的计算误差呈现鲁棒性。

The linear canonical transform （LCT）describes the effect of quadratic phase systems on a wavefield and generalizes many optical transforms. In this paper, the computation method for the discrete LCT using the adaptive least-mean-square （LMS） algorithm is presented. The computation approaches of the block-based discrete LCT and the stream-based discrete LCT using the LMS algorithm are derived,and the implementation structures of these approaches by the adaptive filter system are considered. The proposed computation approaches have the inherent parallel structures which make them suitable for efficient VLSI implementations, and are robust to the propagation of possible errors in the computation process.