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Perfect periodic correlation sequences

Signal Processing, 1995
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Avraham Freedman   +2 more
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Perfect DFT sequences transformed into orthogonal sequences

2011 IEEE EUROCON - International Conference on Computer as a Tool, 2011
In this paper, we present a method and a code generator to transform perfect DFT (discrete Fourier transform) sequences into orthogonal sequences and into bipolar codes, with good correlation properties. These new sequences or codes produce a low peak-to-average power ratio (PAPR) and a low error probability in a code-division multiple access (CDMA ...
João da Silva Pereira   +1 more
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A generalized construction for perfect autocorrelation sequences

2015 IEEE International Symposium on Information Theory (ISIT), 2015
In this paper we generalize a previous construction in order to design perfect autocorrelation sequences over the so-called PSK+ constellation defined by Boztas, and Udaya [2]. We give a number theoretic criterion for the existence of the new sequences with perfect autocorrelation, and discuss some preliminary numerical results on their aperiodic ...
Serdar Boztas   +3 more
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Parameterization of perfect sequences

TENCON 2010 - 2010 IEEE Region 10 Conference, 2010
A ZCZ(Zero Correlation Zone) sequence set plays an important role in the research of CDMA, ultrasonic imaging, position control and so on. Its a set of perfect sequences which has a property about cross-correlation. We treat the set of perfect sequences as a zero set of quadratic equations and try to simplify these equations.
Takao Maeda, Takafumi Hayashi
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Optimal design of perfect DFT sequences

Physical Communication, 2013
Abstract In this paper, we propose a novel scheme to construct a large set with N ( N + 1 ) perfect sequences of length N , derived from an Inverse Discrete Fourier Transform (IDFT) of Chu and maximum-length sequences. This optimum set of perfect periodic autocorrelation sequences has a maximum absolute value of periodic cross ...
Pereira, João S.   +1 more
openaire   +3 more sources

Almost-perfect quadriphase sequences

IEEE Transactions on Information Theory, 2001
Summary: A new class of quadriphase sequences of length \(N=p^J+1\equiv 2\bmod 4\) (\(p\) odd prime, \(J=1,2,\dots\)) is presented. These almost perfect sequences have a periodic autocorrelation function \(\Theta(\tau)\) that vanishes for all \(\tau\not\equiv 0\bmod(N/2)\).
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Almost perfect autocorrelation sequences

IEEE Transactions on Information Theory, 1992
Almost perfect autocorrelation sequences are defined as complex periodic sequences such that all the out-of-phase autocorrelation coefficients are zero except one. The study is restricted to (-1,+1)-sequences. In this case, such sequences exist only if the period n is a multiple of 4.
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Almost-Perfect and Odd-Perfect Ternary Sequences

2005
Ternary (–1, 0, +1) almost-perfect and odd-perfect autocorrelation sequences are applied in many communication, radar and sonar systems, where signals with good periodic autocorrelation are required. New families of almost-perfect ternary (APT) sequences of length N = (pn – 1)/r, where r is an integer, and odd-perfect ternary (OPT) sequences of length ...
openaire   +2 more sources

De Bruijn Sequences and Perfect Factors

SIAM Journal on Discrete Mathematics, 1997
Summary: We describe new constructions for de Bruijn sequences and perfect factors. These constructions are all based upon the idea of constructing one sequence (or set of sequences) from another. As a result of this fact, the sequences obtained from these construction methods possess simple decoding algorithms based on decoding the sequences used to ...
openaire   +10 more sources

Binary Almost-Perfect Sequence Sets

IEEE Transactions on Information Theory, 2010
Sequence set with lower correlation values is highly desired for engineering applications. However, theoretical results (e.g., Welch bound) show that θmax ≥ √(N) in general, that is, the maximum out-of-phase autocorrelation and cross-correlation magnitudes of a sequence set is not less than the square root of the sequence period.
Kai Cai, Guobiao Weng, Xueqi Cheng
exaly   +2 more sources

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