Title :
Generalized Discrete Fourier Transform with optimum correlations
Author :
Akansu, Ali N. ; Agirman-Tosun, Handan
Author_Institution :
Dept. of Electr.&Comput. Eng., Univ. Heights, Newark, NJ, USA
Abstract :
In this paper, we present design methods to optimize nonlinear phase functions of Generalized DFT (GDFT) for minimized auto and cross correlations. It is shown that GDFT offers sizable correlation improvements over DFT, Walsh, and Gold codes. We conclude the paper with a multiuser communications scenario where correlation optimized GDFT outperforms DFT and other known constant modulus codes in BER metric.
Keywords :
codes; correlation theory; discrete Fourier transforms; error statistics; nonlinear functions; BER metric; auto correlation; constant modulus code; cross correlation; discrete Fourier transform; generalized DFT; multiuser communication; nonlinear phase function; Autocorrelation; Bit error rate; Design engineering; Design methodology; Design optimization; Difference equations; Discrete Fourier transforms; Gold; Multiaccess communication; OFDM modulation; Auto-correlation; BER; CDMA; Cross-correlation; DMT; Generalized Discrete Fourier Transform (GDFT); OFDM;
Conference_Titel :
Acoustics Speech and Signal Processing (ICASSP), 2010 IEEE International Conference on
Conference_Location :
Dallas, TX
Print_ISBN :
978-1-4244-4295-9
Electronic_ISBN :
1520-6149
DOI :
10.1109/ICASSP.2010.5495746