FPGA implementation method of full-precision low-pass IIR filter

The invention relates to an FPGA (Field Programmable Gate Array) implementation method of a full-precision low-pass IIR (Infinite Impulse Response) filter. The method comprises the following steps of (1) establishing a mathematical model of the IIR filter; (2) establishing a basic structure of a direct-type IIR (Infinite Impulse Response) digital filter; and (3) a sigma delta noise shaping technology is used for eliminating an intercept error. On the basis of an FPGA (Field Programmable Gate Array) platform, the cut output of the direct IIR low-pass filter is modulated by combining a sigma-delta noise shaping technology, so that the full-precision low-pass filtering output which cannot be achieved by the traditional technology is realized, and the requirements of the fields of electronic measurement, digital communication and the like on the high-speed real-time IIR low-pass filter are met. 本发明涉及一种全精度低通IIR滤波器的FPGA实现方法，包括如下步骤：(1)IIR滤波器数学模型的建立；(2)直接型IIR数字滤波器基础结构的建立；(3)ΣΔ噪声整形技术消除截位误差。本发明基于FPGA平台，结合ΣΔ噪声整形技术对直接型II