# Performance analysis of a finite radon transform in OFDM system under different channel models

## Abstract

In this paper, a class of discrete Radon transforms namely Finite Radon Transform (FRAT) was proposed as a modulation technique in the realization of Orthogonal Frequency Division Multiplexing (OFDM). The proposed FRAT operates as a data mapper in the OFDM transceiver instead of the conventional phase shift mapping and quadrature amplitude mapping that are usually used with the standard OFDM based on Fast Fourier Transform (FFT), by the way that ensure increasing the orthogonality of the system. The Fourier domain approach was found here to be the more suitable way for obtaining the forward and inverse FRAT. This structure resulted in a more suitable realization of conventional FFT- OFDM. It was shown that this application increases the orthogonality significantly in this case due to the use of Inverse Fast Fourier Transform (IFFT) twice, namely, in the data mapping and in the sub-carrier modulation also due to the use of an efficient algorithm in determining the FRAT coefficients called the optimal ordering method. The proposed approach was tested and compared with conventional OFDM, for additive white Gaussian noise (AWGN) channel, flat fading channel, and multi-path frequency selective fading channel. The obtained results showed that the proposed system has improved the bitmore »

- Authors:

- School of Computer and Communication Engineering, Universiti Malaysia Perlis (UniMAP) Pauh Putra, 02000 Arau, Parlis (Malaysia)
- School of Electrical System Engineering, Universiti Malaysia Perlis (UniMAP) Pauh Putra, 02000 Arau, Parlis (Malaysia)

- Publication Date:

- OSTI Identifier:
- 22391680

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 1660; Journal Issue: 1; Conference: ICoMEIA 2014: International Conference on Mathematics, Engineering and Industrial Applications 2014, Penang (Malaysia), 28-30 May 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; CALCULATION METHODS; COMPARATIVE EVALUATIONS; ERRORS; FOURIER TRANSFORMATION; INTERFERENCE; MAPPING; MATHEMATICAL SOLUTIONS; MODULATION; NOISE; PERFORMANCE; PHASE SHIFT; QUADRATURES

### Citation Formats

```
Dawood, Sameer A., Anuar, M. S., Fayadh, Rashid A., Malek, F., and Abdullah, Farrah Salwani.
```*Performance analysis of a finite radon transform in OFDM system under different channel models*. United States: N. p., 2015.
Web. doi:10.1063/1.4915818.

```
Dawood, Sameer A., Anuar, M. S., Fayadh, Rashid A., Malek, F., & Abdullah, Farrah Salwani.
```*Performance analysis of a finite radon transform in OFDM system under different channel models*. United States. doi:10.1063/1.4915818.

```
Dawood, Sameer A., Anuar, M. S., Fayadh, Rashid A., Malek, F., and Abdullah, Farrah Salwani. Fri .
"Performance analysis of a finite radon transform in OFDM system under different channel models". United States. doi:10.1063/1.4915818.
```

```
@article{osti_22391680,
```

title = {Performance analysis of a finite radon transform in OFDM system under different channel models},

author = {Dawood, Sameer A. and Anuar, M. S. and Fayadh, Rashid A. and Malek, F. and Abdullah, Farrah Salwani},

abstractNote = {In this paper, a class of discrete Radon transforms namely Finite Radon Transform (FRAT) was proposed as a modulation technique in the realization of Orthogonal Frequency Division Multiplexing (OFDM). The proposed FRAT operates as a data mapper in the OFDM transceiver instead of the conventional phase shift mapping and quadrature amplitude mapping that are usually used with the standard OFDM based on Fast Fourier Transform (FFT), by the way that ensure increasing the orthogonality of the system. The Fourier domain approach was found here to be the more suitable way for obtaining the forward and inverse FRAT. This structure resulted in a more suitable realization of conventional FFT- OFDM. It was shown that this application increases the orthogonality significantly in this case due to the use of Inverse Fast Fourier Transform (IFFT) twice, namely, in the data mapping and in the sub-carrier modulation also due to the use of an efficient algorithm in determining the FRAT coefficients called the optimal ordering method. The proposed approach was tested and compared with conventional OFDM, for additive white Gaussian noise (AWGN) channel, flat fading channel, and multi-path frequency selective fading channel. The obtained results showed that the proposed system has improved the bit error rate (BER) performance by reducing inter-symbol interference (ISI) and inter-carrier interference (ICI), comparing with conventional OFDM system.},

doi = {10.1063/1.4915818},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 1660,

place = {United States},

year = {2015},

month = {5}

}