1. Introduction to FFT Algorithm and Vivado FFT IP Core 1. What is FFT? FFT (Fast Fourier Transform) is an efficient algorithm for computing the Discrete Fourier Transform (DFT). The mathematical definition of DFT is: Direct computation of DFT requires N multiplications and additions, while FFT reduces the complexity to:, significantly improving computational efficiency, making … Read more
The power of FPGA (Field Programmable Gate Array) lies in its integration of various programmable resources, enabling the flexible implementation of a wide range of digital circuits from simple logic to complex systems. Understanding the functions of these resources and their collaborative logic is fundamental to efficient FPGA design. 01 — Core Internal Resources of … Read more
MATLAB Teaching Video, Signal Processing and System Analysis:This video lasts approximately 65 minutes, first reviewing the basic theory of frequency domain filtering based on FFT, and analyzing the computational process of frequency domain filtering based on FFT; using a time-domain signal through an ideal low-pass filter as an example, it deeply explains the methods and … Read more
MATLAB Teaching Video, Signal Processing and System Analysis:This video is approximately 65 minutes long and demonstrates in detail the methods and steps for plotting the time-domain signal MATLAB FFT half-spectrum & full-spectrum through four selected case studies; it deeply analyzes the relationship between the amplitude and phase of the FFT spectrum and the corresponding time-domain … Read more
Abstract The analysis of sound signals has wide applications in fields such as speech recognition, music processing, and acoustic research. This article implements time-domain and frequency-domain analysis of sound signals based on Matlab, along with statistical analysis of the signals. By processing a segment of audio signal, this article demonstrates how to extract and analyze … Read more
Who in hardware doesn’t love instruments? However, there is a problem; it seems that not many people understand common oscilloscopes. Therefore, I decided to write some content on this topic. Just a side note: Recently, Puhua released a limited edition with impressive parameters. However, this UI is still not visually appealing enough. Still, the Dingyang … Read more
1 Introduction to Xilinx FFT IP The Xilinx Fast Fourier Transform (FFT IP) core implements the Cooley-Tukey FFT algorithm, which is an efficient method for computing the Discrete Fourier Transform (DFT). 1) Forward and inverse complex FFT, with configurable runtime. 2) Transform size N = 2m, m = 3 – 16 3) Data sampling precision … Read more
1. Configuration of FIR IP in Vivado 2. Setting up the simulation environment with Vivado and Modelsim 1. Importing Data from Matlab to Modelsim In the previous chapter, we designed a FIR digital filter using Vivado, and in the Modelsim simulation, the output data from the FIR IP was written to the data_out.txt file. This … Read more
Hmm? What a great question! Call him Zhang, call him Duan! This question is actually very useful. Who in engineering or research hasn’t encountered FFT and window functions? However, the background and details are scattered across various articles, and no one has written a comprehensive review. First of all, FFT is indeed a very powerful … Read more
“Integrating an oscilloscope and signal generator into the palm of your hand, all thanks to the STM32G031!”This project utilizes the STM32G031 MCU to collect external audio signals through ADC and DMA, enabling real-time waveform and spectrum display on an OLED screen. Users can adjust parameters such as sampling rate (time axis), amplitude scaling (Y-axis), and … Read more