Electrical and Computer Engineering ETDs
Publication Date
Spring 4-30-2022
Abstract
The focus of the research was to investigate the application of the discrete fractional Fourier transform (DFRFT) in communication systems. We investigated the compactness of the Gauss-Hermite like eigenvectors of the DFRFT and showed how a multi-carrier modulation system could benefit from it. This led to identifying an affine DFRFT. We proved the circular convolution property for the proposed DFRFT. Using this affine transform, we were able to design an orthogonal frequency division multiplexer (OFDM) communication system. In the process of implementing the OFDM, we developed a method for fast computation of the DFRFT using the chirp-z transform. Using the new method, we showed that the inter-carrier interference (ICI) for proposed fractional OFDM is reduced compared to cyclic prefixed OFDM systems. Lastly, we also showed that the Fractional OFDM system mitigates the time-varying Doppler in high mobility wireless networks.
Keywords
OFDM, DFRFT, High Mobility, Wireless Communications, Time Bandwidth Product
Document Type
Dissertation
Language
English
Degree Name
Electrical Engineering
Level of Degree
Doctoral
Department Name
Electrical and Computer Engineering
First Committee Member (Chair)
Ramiro Jordan
Second Committee Member
Manel Martinez-Ramon
Third Committee Member
Balasubramaniam Santhanam
Third Advisor
Eric Ehrhardt Hamke
Fourth Committee Member
Maria Cristina Pereyra
Recommended Citation
Raeisi Nafchi, Amir. "Multicarrier Modulation Using Discrete Fractional Fourier Transform." (2022). https://digitalrepository.unm.edu/ece_etds/530