NDLI: Generalized Discrete Fourier Transform With Nonlinear Phase

Content Provider	IEEE Xplore Digital Library
Author	Akansu, A.N. Agirman-Tosun, H.
Copyright Year	1991
Abstract	Constant modulus transforms like discrete Fourier transform (DFT), Walsh transform, and Gold codes have been successfully used over several decades in several engineering applications, including discrete multi-tone (DMT), orthogonal frequency division multiplexing (OFDM) and code division multiple access (CDMA) communications systems. In this paper, we present a generalized framework for DFT called Generalized DFT (GDFT) with nonlinear phase by exploiting the phase space. We show that GDFT offers sizable correlation improvements over DFT, Walsh, Oppermann and Gold codes, leading to better performance in all multi-carrier communications scenarios investigated. We also highlight how known constant modulus orthogonal transforms are special solutions of the proposed GDFT framework. Moreover, we introduce practical design methods offering computationally efficient implementations of GDFT as enhancements to DFT. We conclude the paper with examples of communications applications where GDFT is shown to outperform DFT and other known constant modulus bases.
Sponsorship	IEEE Signal Processing Society
Starting Page	4547
Ending Page	4556
Page Count	10
File Size	845547
File Format	PDF
ISSN	1053587X
Volume Number	58
Issue Number	9
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-09-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Discrete Fourier transforms Gold Multiaccess communication Fourier transforms OFDM modulation Design methodology Asynchronous communication Design optimization Binary codes Acoustics Walsh codes Auto-correlation function CDMA cross-correlation function discrete Fourier transform DMT generalized discrete Fourier transform Gold codes OFDM
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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