On the Optimal Sequences and Total Weighted Square Correlation of Synchronous CDMA Systems in Multipath Channels

Texas Univ., San Antonio
IEEE Transactions on Vehicular Technology (Impact Factor: 2.06). 08/2007; DOI: 10.1109/TVT.2007.897235
Source: IEEE Xplore

ABSTRACT We generalize the total square correlation and the total weighted square correlation (TWSC) for a given signature set used in synchronous code division multiple access (S-CDMA) systems. We define the extended TWSC measure for multipath channels in the presence and the absence of the colored noise. The main results of this paper are the following: 1, the necessary and sufficient conditions of the received Gram matrix to maximize the sum capacity in the presence of multipath; 2, the conditions on the channel such that the received multipath sequences in the presence of the colored noise are Welch bound equality (WBE) sequences; 3, a decentralized method for obtaining generalized WBE sequences that minimize the TWSC in the presence of multipath and colored noise. Using this method, the optimal sequences, which achieve sum capacity for overloaded S-CDMA systems, in the presence of multipath are obtained. Numerical examples that illustrate the mathematical formalism are also included.

1 Bookmark
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: A successive interference cancelation (SIC) method is developed in this article to improve the performance of the downlink transmission throughput for the current high speed downlink packet access (HSDPA) system. The multi-code code division multiplexing spreading sequences are orthogonal at the HSDPA downlink transmitter. However, the spreading sequences loose their orthogonality following transmission through frequency selective multipath channels. The SIC method uses a minimum-mean-square-error (MMSE) equalizer at the receiver to despread multi-code signals to restore the orthogonality of the receiver signature sequences. The SIC scheme is also used as part of the resource allocation schemes at the transmitter and for the purpose of interference and inter-symbol-interference cancelation at the receiver. The article proposes a novel system value based optimization criterion to provide a computationally efficient energy allocation method at the transmitter, when using the SIC interference cancelation and MMSE equalizer methods at the receiver. The performance of the proposed MMSE equalizer based on the SIC receiver is significantly improved compared with the existing schemes tested and is very close to the theoretical upper bound which may be achieved under laboratory conditions.
    EURASIP Journal on Wireless Communications and Networking 2012(1). · 0.54 Impact Factor
  • [Show abstract] [Hide abstract]
    ABSTRACT: A comparison of the optimal power allocation for a Gaussian vector channel subject to sum power constraint under water filling principle and inverse eigenvalue problem is given. We focus on the overloaded multipath DS - CDMA systems when the channel information is known at both transmitter and receiver. We generalize the sum of power constraint for each cell by considering p-norm matrices, and we provide numerical and graphical results for an overloaded CDMA cell in the presence and the absence of the multipath fading.
    Sarnoff Symposium, 2009. SARNOFF '09. IEEE; 05/2009
  • [Show abstract] [Hide abstract]
    ABSTRACT: Levenshtein improved the Welch bound on aperiodic correlation by weighting the cyclic shifts of the sequences over complex roots-of-unity. Although many works have been concerned on meeting the Welch bound with equality, no such effort has been reported for the Levenshtein bound. We show that the Levenshtein bound with equality is met if and only if the non-trivial aperiodic correlations have identical amplitude for all time-shifts, and the sequences form a novel class of complementary set whose aperiodic correlation is defined as the conventional aperiodic correlation modulated by a simplex weighting vector.
    Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on; 01/2012