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A Novel Class of Complete Complementary Codes and Their Applications for APU Matrices

Das, Shibsankar, Majhi, Sudhan and Liu, Zilong (2018) A Novel Class of Complete Complementary Codes and Their Applications for APU Matrices IEEE Signal Processing Letters, 25 (9). pp. 1300-1304.

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Abstract

Paraunitary (PU) matrices play an important role in various areas of signal processing (such as in the theory of filter banks [1]), especially in complementary sequence design [2]–[6]. A salient feature of PU matrices is the energy balance property that can avoid the noise amplification problem [1]. That is, the output vector y[k] satisfies Ey =Ex , where x[k] is an input vector with finite energy Ex for a normalized PU matrix. A PU matrix is called an antipodal PU (APU) matrix if all of its coefficients are ±1 . In the literature, a number of constructions for APU matrices have been proposed in [7]– [10]. In [9], Wornell had shown that a code division multiple access (CDMA) system with APU spread-signature sets has better error probability performance than the conventional CDMA system. Also, it has been shown in [10] that an orthogonal frequency division multiplexing (OFDM) system with APU precoding matrices achieves better error probability performance than the conventional OFDM. Recently, the precoding application of APU matrices for a multiple-input multiple-output (MIMO) OFDM system has been reported in [11].

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
NameEmailORCID
Das, Shibsankar
Majhi, Sudhan
Liu, Zilong
Date : 27 June 2018
DOI : 10.1109/LSP.2018.2849656
Uncontrolled Keywords : Complete complementary codes (CCCs); Kronecker product; Paraunitary (PU) matrix; OFDM; Multiaccess communication; Correlation; Generators; Precoding; Error probability; Wireless communication
Depositing User : Clive Harris
Date Deposited : 12 Sep 2018 10:52
Last Modified : 12 Sep 2018 10:52
URI: http://epubs.surrey.ac.uk/id/eprint/849262

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