The OFDM system and equalization algorithm based on the fractional Fourier transform

En Qing Chen; Ran Tao; Wei Qiang Zhang; Xiang Yi Meng

The OFDM system and equalization algorithm based on the fractional Fourier transform

En Qing Chen^*, Ran Tao, Wei Qiang Zhang, Xiang Yi Meng

^*Corresponding author for this work

School of Information and Electronics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

The performance of traditional OFDM system is greatly degraded in time-varying fading channel due to the inter-carrier interference (ICI). This paper proposes an OFDM system based on the fractional Fourier transform in which traditional Fourier transform is replaced by fractional Fourier transform to modulate and demodulate the symbols. The algorithm for selecting the optimal order of fractional Fourier transform is derived. Moreover, the multiplication filter in fractional Fourier domain is designed according to the minimum mean square error (MMSE) criterion to equalize the received signal. Theoretical analysis and numerical simulation results show that the proposed equalizer in optimal fractional Fourier domain can significantly improve the performance of OFDM compared with Fourier domain equalizer.

Original language	English
Pages (from-to)	409-414
Number of pages	6
Journal	Tien Tzu Hsueh Pao/Acta Electronica Sinica
Volume	35
Issue number	3
Publication status	Published - Mar 2007

Keywords

Channel equalization
Fractional Fourier transform
OFDM
Time-varying channel

Cite this

@article{2565488d016f4a8db34b816405db6563,

title = "The OFDM system and equalization algorithm based on the fractional Fourier transform",

abstract = "The performance of traditional OFDM system is greatly degraded in time-varying fading channel due to the inter-carrier interference (ICI). This paper proposes an OFDM system based on the fractional Fourier transform in which traditional Fourier transform is replaced by fractional Fourier transform to modulate and demodulate the symbols. The algorithm for selecting the optimal order of fractional Fourier transform is derived. Moreover, the multiplication filter in fractional Fourier domain is designed according to the minimum mean square error (MMSE) criterion to equalize the received signal. Theoretical analysis and numerical simulation results show that the proposed equalizer in optimal fractional Fourier domain can significantly improve the performance of OFDM compared with Fourier domain equalizer.",

keywords = "Channel equalization, Fractional Fourier transform, OFDM, Time-varying channel",

author = "Chen, {En Qing} and Ran Tao and Zhang, {Wei Qiang} and Meng, {Xiang Yi}",

year = "2007",

month = mar,

language = "English",

volume = "35",

pages = "409--414",

journal = "Tien Tzu Hsueh Pao/Acta Electronica Sinica",

issn = "0372-2112",

publisher = "Chinese Institute of Electronics",

number = "3",

}

TY - JOUR

T1 - The OFDM system and equalization algorithm based on the fractional Fourier transform

AU - Chen, En Qing

AU - Tao, Ran

AU - Zhang, Wei Qiang

AU - Meng, Xiang Yi

PY - 2007/3

Y1 - 2007/3

N2 - The performance of traditional OFDM system is greatly degraded in time-varying fading channel due to the inter-carrier interference (ICI). This paper proposes an OFDM system based on the fractional Fourier transform in which traditional Fourier transform is replaced by fractional Fourier transform to modulate and demodulate the symbols. The algorithm for selecting the optimal order of fractional Fourier transform is derived. Moreover, the multiplication filter in fractional Fourier domain is designed according to the minimum mean square error (MMSE) criterion to equalize the received signal. Theoretical analysis and numerical simulation results show that the proposed equalizer in optimal fractional Fourier domain can significantly improve the performance of OFDM compared with Fourier domain equalizer.

AB - The performance of traditional OFDM system is greatly degraded in time-varying fading channel due to the inter-carrier interference (ICI). This paper proposes an OFDM system based on the fractional Fourier transform in which traditional Fourier transform is replaced by fractional Fourier transform to modulate and demodulate the symbols. The algorithm for selecting the optimal order of fractional Fourier transform is derived. Moreover, the multiplication filter in fractional Fourier domain is designed according to the minimum mean square error (MMSE) criterion to equalize the received signal. Theoretical analysis and numerical simulation results show that the proposed equalizer in optimal fractional Fourier domain can significantly improve the performance of OFDM compared with Fourier domain equalizer.

KW - Channel equalization

KW - Fractional Fourier transform

KW - OFDM

KW - Time-varying channel

UR - http://www.scopus.com/inward/record.url?scp=34248371635&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:34248371635

SN - 0372-2112

VL - 35

SP - 409

EP - 414

JO - Tien Tzu Hsueh Pao/Acta Electronica Sinica

JF - Tien Tzu Hsueh Pao/Acta Electronica Sinica

IS - 3

ER -

The OFDM system and equalization algorithm based on the fractional Fourier transform

Abstract

Keywords

Other files and links

Fingerprint

Cite this