Generalized Discrete Fourier Transform with Optimum Correlations

被引:3
|
作者
Akansu, Ali N. [1 ]
Agirman-Tosun, Handan [1 ]
机构
[1] New Jersey Inst Technol, Dept Elect & Comp Engn, Newark, NJ 07102 USA
关键词
Generalized Discrete Fourier Transform (GDFT); OFDM; DMT; CDMA; Auto-correlation; Cross-correlation; BER;
D O I
10.1109/ICASSP.2010.5495746
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
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.
引用
收藏
页码:4054 / 4057
页数:4
相关论文
共 50 条
  • [31] Discrete fractional Fourier transform
    Pei, SC
    Yeh, MH
    ISCAS 96: 1996 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS - CIRCUITS AND SYSTEMS CONNECTING THE WORLD, VOL 2, 1996, : 536 - 539
  • [32] Lipschitz conditions for the generalized discrete Fourier transform associated with the Jacobi operator on [0, π]
    El Ouadih, Salah
    Daher, Radouan
    COMPTES RENDUS MATHEMATIQUE, 2017, 355 (03) : 318 - 324
  • [33] CONVOLUTION USING A CONJUGATE SYMMETRY PROPERTY FOR GENERALIZED DISCRETE FOURIER-TRANSFORM
    DUBOIS, E
    VENETSANOPOULOS, AN
    IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1978, 26 (02): : 165 - 170
  • [34] Partial reconstruction of phase of interference pattern based on a generalized discrete Fourier transform
    Wei, Dong
    Chen, MeiYun
    OPTICAL METROLOGY AND INSPECTION FOR INDUSTRIAL APPLICATIONS VI, 2019, 11189
  • [35] Uniqueness of the discrete Fourier transform
    Baraquin, Isabelle
    Ratier, Nicolas
    SIGNAL PROCESSING, 2023, 209
  • [36] Discrete fractional Fourier transform
    Candan, Cagatay
    Kutay, M.Alper
    Ozaktas, Haldun M.
    ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, 1999, 3 : 1713 - 1716
  • [37] Discrete Fourier transform and permutations
    Hui, S.
    Zak, S. H.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2019, 67 (06) : 995 - 1005
  • [38] On the diagonalization of the discrete Fourier transform
    Gurevich, Shamgar
    Hadani, Ronny
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2009, 27 (01) : 87 - 99
  • [39] Discrete rotational Fourier transform
    Georgia Inst of Technology, Atlanta, United States
    IEEE Trans Signal Process, 4 (994-998):
  • [40] The discrete fractional Fourier transform
    Candan, C
    Kutay, MA
    Ozaktas, HM
    ICASSP '99: 1999 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, PROCEEDINGS VOLS I-VI, 1999, : 1713 - 1716