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
来源：
2010 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING | 2010年
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
  • [21] THE GENERALIZED DISCRETE FOURIER-TRANSFORM IN RINGS OF ALGEBRAIC-INTEGERS
    DUBOIS, E
    VENETSANOPOULOS, AN
    IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1980, 28 (02): : 169 - 175
  • [22] Generalized Discrete Fourier Transform on the Base of Lagrange and Hermite Interpolation Formulas
    Sitnik, S. M.
    Yaremko, O. E.
    Yaremko, N. N.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (06) : 1417 - 1427
  • [23] A generalized Fourier transform
    Watanabe, S
    PROGRESS IN ANALYSIS, VOLS I AND II, 2003, : 103 - 113
  • [24] On the generalized Fourier transform
    Abreu-Blaya, Ricardo
    Rodriguez, Jose M.
    Sigarreta, Jose M.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (16) : 16709 - 16733
  • [25] Relation between discrete cosine transform and discrete fourier transform
    Liu, Saili
    Xi'an Shiyou Xueyuan Xuebao/Journal of Xi'an Petroleum Institute, 10 (01):
  • [26] GENERALIZED DISCRETE TRANSFORM
    AHMED, N
    RAO, KR
    SCHULTZ, RB
    PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1971, 59 (09): : 1360 - &
  • [27] Discrete Fourier transform in arbitrary dimensions by a generalized Beevers-Lipson algorithm
    Schneider, M
    van Smaalen, S
    ACTA CRYSTALLOGRAPHICA SECTION A, 2000, 56 : 248 - 251
  • [28] Steerable Discrete Fourier Transform
    Fracastoro, Giulia
    Magli, Enrico
    IEEE SIGNAL PROCESSING LETTERS, 2017, 24 (03) : 319 - 323
  • [29] Fractionalization of the discrete Fourier transform
    Rueda-Paz, J.
    Munoz, C. A.
    REVISTA MEXICANA DE FISICA E, 2010, 56 (01): : 98 - 106
  • [30] Alternatives to the discrete Fourier transform
    Balcan, Doru
    Sandryhaila, Aliaksei
    Gross, Jonathan
    Pueschel, Markus
    2008 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING, VOLS 1-12, 2008, : 3537 - 3540
12345