Balanced nonbinary sequences with good periodic correlation properties obtained from modified Kumar-Moreno sequences

Kumar and Moreno (see ibid., vol.37, no.3, p.603, 1991) presented a new family of nonbinary sequences which has not only good periodic correlation properties but also the largest family size. First, the unbalanced properties for Kumar-Moreno sequences are pointed out. Second, a new family of balance...

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Veröffentlicht in:IEEE transactions on information theory 1995-03, Vol.41 (2), p.572-576
Hauptverfasser: Moriuchi, T., Imamura, K.
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description Kumar and Moreno (see ibid., vol.37, no.3, p.603, 1991) presented a new family of nonbinary sequences which has not only good periodic correlation properties but also the largest family size. First, the unbalanced properties for Kumar-Moreno sequences are pointed out. Second, a new family of balanced nonbinary sequences obtained from modified Kumar-Moreno sequences is proposed, and it is shown that the new family has the same optimal periodic nontrivial correlation as the family of Kumar-Moreno sequences and consists of the balanced nonbinary sequences. It is also shown that the cost of making sequences balanced is a decrease of the family size in addition to the condition that n is an even number. In particular, let the length of Kumar-Moreno sequences and the new sequences be the same and equal to p/sup n/-1 with n even, then the family size of the new sequences is p/sup n/2/ which is much smaller than p/sup n/, that of Kumar-Moreno sequences.< >
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subjects Amplitude modulation
Applied sciences
Channel coding
Communications
Convolutional codes
Equations
Error probability
Exact sciences and technology
Information technology
Information, signal and communications theory
Lattices
Mathematical methods
Modulation coding
Multiaccess communication
Satellites
Signal processing algorithms
Telecommunications and information theory
title Balanced nonbinary sequences with good periodic correlation properties obtained from modified Kumar-Moreno sequences
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