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

fYear

2010

fDate

14-19 March 2010

Firstpage

4054

Lastpage

4057

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics Speech and Signal Processing (ICASSP), 2010 IEEE International Conference on

Conference_Location

Dallas, TX

ISSN

1520-6149

Print_ISBN

978-1-4244-4295-9

Electronic_ISBN

1520-6149

Type

conf

DOI

10.1109/ICASSP.2010.5495746

Filename

5495746