Design and Implementation of Different Types of Window Functions Based on FPGA

Abstract

In practical engineering design, we often need to carry out spectral analysis of the digital signal, which requires the use of Fourier transform, and it is defined as the spectral analysis of infinite long continuous time-domain signal. Because the computer cannot process and analyze the infinite time signal, it can only calculate the discrete signal of a limited number of points, so it needs to truncate the input signal of system. However, the truncation of signal will cause spectral leakage, resulting in incorrect spectral analysis of the signal. Although the spectral leakage cannot be completely eliminated theoretically, the window function method can suppress its influence. By adding different window functions to the signal, the spectral leakage can be greatly reduced, but the degree of reduction is different. This paper mainly studies the type of different window functions, and the algorithm principle and implementation of window function is realized by using CORDIC algorithm was proposed, by using field programmable logic gate array (FPGA) to complete the real-time signal processing, gives a specific design and implementation, and finished the system function simulation on Vivado platform under Xlinx. The results of MATLAB simulation and system function simulation are compared to verify the feasibility of the design scheme.