TY - GEN
T1 - Generalized discrete fourier transform
T2 - 2009 IEEE Sarnoff Symposium, SARNOFF 2009
AU - Akansu, Ali N.
AU - Agirman-Tosun, Handan
PY - 2009
Y1 - 2009
N2 - Constant amplitude transforms like discrete Fourier transform (DFT), Walsh transform, nonlinear phase Walsh-like transforms and Gold codes have been successfully used in many wire-line and wireless communications technologies including code division multiple access (CDMA), discrete multi-tone (DMT), and orthogonal frequency division multiplexing (OFDM) types. In this paper, we present a generalized framework for DFT called Generalized DFT (GDFT) with nonlinear phase by exploiting the phase space. It is shown that GDFT offers sizable performance improvements over Walsh, Gold and DFT codes in multi-carrier communications scenarios considered. We also highlight that known constant modulus code families are special solutions of the proposed GDFT framework. Moreover, we introduce practical design methods offering computationally efficient implementations for GDFT. We expect performance improvements in future communications systems employing GDFT intelligently.
AB - Constant amplitude transforms like discrete Fourier transform (DFT), Walsh transform, nonlinear phase Walsh-like transforms and Gold codes have been successfully used in many wire-line and wireless communications technologies including code division multiple access (CDMA), discrete multi-tone (DMT), and orthogonal frequency division multiplexing (OFDM) types. In this paper, we present a generalized framework for DFT called Generalized DFT (GDFT) with nonlinear phase by exploiting the phase space. It is shown that GDFT offers sizable performance improvements over Walsh, Gold and DFT codes in multi-carrier communications scenarios considered. We also highlight that known constant modulus code families are special solutions of the proposed GDFT framework. Moreover, we introduce practical design methods offering computationally efficient implementations for GDFT. We expect performance improvements in future communications systems employing GDFT intelligently.
KW - DMT
KW - Discrete fourier transform
KW - Generalized discrete fourier transform
KW - Gold codes
KW - OFDM
KW - Walsh codes
UR - http://www.scopus.com/inward/record.url?scp=67650663436&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=67650663436&partnerID=8YFLogxK
U2 - 10.1109/SARNOF.2009.4850333
DO - 10.1109/SARNOF.2009.4850333
M3 - Conference contribution
AN - SCOPUS:67650663436
SN - 9781424433827
T3 - 2009 IEEE Sarnoff Symposium, SARNOFF 2009 - Conference Proceedings
BT - 2009 IEEE Sarnoff Symposium, SARNOFF 2009 - Conference Proceedings
Y2 - 30 March 2009 through 1 April 2009
ER -