1,138 research outputs found
Large Zero Autocorrelation Zone of Golay Sequences and -QAM Golay Complementary Sequences
Sequences with good correlation properties have been widely adopted in modern
communications, radar and sonar applications. In this paper, we present our new
findings on some constructions of single -ary Golay sequence and -QAM
Golay complementary sequence with a large zero autocorrelation zone, where
is an arbitrary even integer and is an arbitrary integer.
Those new results on Golay sequences and QAM Golay complementary sequences can
be explored during synchronization and detection at the receiver end and thus
improve the performance of the communication system
Cross Z-Complementary Pairs for Optimal Training in Spatial Modulation Over Frequency Selective Channels
The contributions of this article are twofold: Firstly, we introduce a novel class of sequence pairs, called “cross Z-complementary pairs (CZCPs),” each displaying zero-correlation zone (ZCZ) properties for both their aperiodic autocorrelation sums and crosscorrelation sums. Systematic constructions of perfect CZCPs based on selected Golay complementary pairs (GCPs) are presented. Secondly, we point out that CZCPs can be utilized as a key component in designing training sequences for broadband spatial modulation (SM) systems. We show that our proposed SM training sequences derived from CZCPs lead to optimal channel estimation performance over frequency-selective channels
Peak-to-mean power control and error correction for OFDM transmission using Golay sequences and Reed-Muller codes
A coding scheme for OFDM transmission is proposed, exploiting a previously unrecognised connection between pairs of Golay complementary sequences and second-order Reed-Muller codes. The scheme solves the notorious problem of power control in OFDM systems by maintaining a peak-to-mean envelope power ratio of at most 3dB while allowing simple encoding and decoding at high code rates for binary, quaternary or higher-phase signalling together with good error correction
A survey of complex generalized weighing matrices and a construction of quantum error-correcting codes
Some combinatorial designs, such as Hadamard matrices, have been extensively
researched and are familiar to readers across the spectrum of Science and
Engineering. They arise in diverse fields such as cryptography, communication
theory, and quantum computing. Objects like this also lend themselves to
compelling mathematics problems, such as the Hadamard conjecture. However,
complex generalized weighing matrices, which generalize Hadamard matrices, have
not received anything like the same level of scrutiny. Motivated by an
application to the construction of quantum error-correcting codes, which we
outline in the latter sections of this paper, we survey the existing literature
on complex generalized weighing matrices. We discuss and extend upon the known
existence conditions and constructions, and compile known existence results for
small parameters. Some interesting quantum codes are constructed to demonstrate
their value.Comment: 33 pages including appendi
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