Application of Discrete Fourier Transform in Multiple-Input Multiple-Output Radar Systems
This capstone project explores the application of Fourier series and Discrete Fourier Transform (DFT) in Multiple-Input Multiple-Output (MIMO) radar imaging systems. The project demonstrates how Fourier analysis can be used to improve radar image resolution and target detection sensitivity compared to traditional single-antenna systems.
graph LR
T[Transmitters] --> C[Channel Matrix]
C --> R[Receivers]
R --> P[Signal Processing]
P --> I[Radar Image]
- Fourier Series and Transform Fundamentals Implementation of Discrete Fourier Transform (DFT) and Inverse DFT
Fast Fourier Transform (FFT) algorithm for computational efficiency
Convolution theorem applications
- MIMO Radar System Simulation MATLAB implementation of MIMO radar signal processing
Multiple transmitter/receiver antenna configurations
Alamouti space-time coding for diversity gain
Maximal-ratio combining techniques
- Radar Imaging Applications Target location parameter estimation
Signal processing for improved resolution
False target elimination techniques
- Signal Processing Toolbox
- Communications Toolbox
- Parallel Computing Toolbox (optional)
The project is based off this original paper by Dr. Zhijun Qiao: https://github.com/GHeart01/MIMOFourierSeriesProject/blob/main/MIMOoriginalResearch.pdf
- Clone this repository:
git clone https://github.com/GHeart01/MIMOFourierSeriesProject.git
Ames, William F. Numerical Methods for Partial Differential Equations. Acad. Pr., 1985.
Asmar, Nakhlé H. Partial Differential Equations with Fourier Series and Boundary Value Problems. Dover, 2016.
Davis, John M. Introduction to Applied Partial Differential Equations. W.H. Freeman & Co., 2013.
Farlow, Stanley J. Partial Differential Equations for Scientists and Engineers. Dover Publications, Inc., 2016.
Kreyszig, E. Advanced Engineering Mathematics. John Wiley & Sons, 2006.
Y.Cao, J.F. Lopez,A. Martinex, and Zhijun Qiao: A Mathematical Model for MIMO Imaging. Spieditiallibrary.org, 2012.