ABSTRACT

In this paper, a novel technique to design Multiband Pass Integrator (MPI) will be presented. This novel technique involves the implementation of the MPI using the approximation of equations abstracted from Z-Transform using sine and cosine function, $F_n\left(\omega \right)$ and $H_n\left(\omega \right)$. The weights of the integrator are made dependable of the same sine and cosine function. After that, a model is predicted from the integrator weights having minimum error-related ideal integrator. Then, using this model, future values of the weight coefficients of integrator are forecasted for higher frequencies. The relative error for $F_n\left(\omega \right)$ and $H_n\left(\omega \right)$ are found to be in the range of 0.09 $\le E_R\le$ 0.08 and 0.082 $\le E_R\le$ 0.078.

摘要

在本文中，将介绍一种设计多频带通积分器 (MPI) 的新技术。这种新技术涉及使用正弦和余弦函数从 Z 变换中抽象出的方程近似来实现 MPI，$F_n\left(\omega \right)$和$H_n\left(\omega \right)$. 积分器的权重由相同的正弦和余弦函数决定。之后，从具有最小误差相关理想积分器的积分器权重预测模型。然后，使用该模型，预测更高频率的积分器权重系数的未来值。相对误差为$F_n\left(\omega \right)$和$H_n\left(\omega \right)$发现在 0.09 范围内$\le {乙}_R\le$0.08 和 0.082$\le {乙}_R\le$0.078。