2-D Linear Frequency Modulation Signal Separation Using Fractional Fourier Transform
- Resource Type
- Conference
- Authors
- Peng, Hsiao-Wei; Chang, Hsuan-Ting; Lin, Ching-Chou
- Source
- 2016 International Symposium on Computer, Consumer and Control (IS3C) Computer, Consumer and Control (IS3C), 2016 International Symposium on. :755-758 Jul, 2016
- Subject
- Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Computing and Processing
Engineered Materials, Dielectrics and Plasmas
Engineering Profession
Fields, Waves and Electromagnetics
General Topics for Engineers
Photonics and Electrooptics
Power, Energy and Industry Applications
Robotics and Control Systems
Signal Processing and Analysis
Fourier transforms
Source separation
Chirp modulation
Correlation coefficient
Algorithm design and analysis
Signal processing algorithms
Linear frequency modulation
Fractional Fourier transform
Signal separation
Gaussian distribution
- Language
Signal separation is one of the significant topics in the signal processing era. How to obtain the separated signal from the mixed (source) signals is the key issue. In general, the statistical characteristics are utilized in analysing the signals. In this study, the mixed two-dimensional (2-D) signals with Gaussian distributions are consider in the signal separation task. The exponential type of linear frequency modulation (LFM) signals has the feature of energy concentration in certain fractional order of the fractional Fourier transform (FrFT). By searching the highest energy distribution, one of the mixed signals can be separated and can be reconstructed using the inverse FrFT. The experimental results show that all signals are successfully separated and can be reconstructed with high fidelity. The correlation coefficients between the original and the reconstructed signals can reach as high as 0.9998.