In applied mathematics, complementary sequences (CS) are pairs of sequences with the useful property that their out-of-phase aperiodic autocorrelation coefficients sum to zero. Binary complementary sequences were first introduced by Marcel J. E. Golay in 1949. In 1961–1962 Golay gave several methods for constructing sequences of length 2N and gave examples of complementary sequences of lengths 10 and 26. In 1974 R. J. Turyn gave a method for constructing sequences of length mn from sequences of lengths m and n which allows the construction of sequences of any length of the form 2N10K26M.
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| - Secuencias complementarias (es)
- Complementary sequences (en)
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| - Las secuencias complementarias son conjuntos de secuencias discretas utilizadas ampliamente en las más diversas áreas de la ingeniería: comunicaciones, robótica, ensayos no destructivos de materiales (NDT), etc. Sus particulares propiedades matemáticas las hacen muy atractivas para todas aquellas aplicaciones donde sea necesario recuperar una cierta información digital contenida en una señal afectada por el ruido, atenuación del canal, interferencia de otras fuentes, etc. Sus propiedades de ortogonalidad también las hacen interesantes para aplicaciones donde varias fuentes emisoras utilizan el mismo canal físico en forma simultánea (sistemas de multiemisión). (es)
- In applied mathematics, complementary sequences (CS) are pairs of sequences with the useful property that their out-of-phase aperiodic autocorrelation coefficients sum to zero. Binary complementary sequences were first introduced by Marcel J. E. Golay in 1949. In 1961–1962 Golay gave several methods for constructing sequences of length 2N and gave examples of complementary sequences of lengths 10 and 26. In 1974 R. J. Turyn gave a method for constructing sequences of length mn from sequences of lengths m and n which allows the construction of sequences of any length of the form 2N10K26M. (en)
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| - In applied mathematics, complementary sequences (CS) are pairs of sequences with the useful property that their out-of-phase aperiodic autocorrelation coefficients sum to zero. Binary complementary sequences were first introduced by Marcel J. E. Golay in 1949. In 1961–1962 Golay gave several methods for constructing sequences of length 2N and gave examples of complementary sequences of lengths 10 and 26. In 1974 R. J. Turyn gave a method for constructing sequences of length mn from sequences of lengths m and n which allows the construction of sequences of any length of the form 2N10K26M. Later the theory of complementary sequences was generalized by other authors to polyphase complementary sequences, multilevel complementary sequences, and arbitrary complex complementary sequences. Complementary sets have also been considered; these can contain more than two sequences. (en)
- Las secuencias complementarias son conjuntos de secuencias discretas utilizadas ampliamente en las más diversas áreas de la ingeniería: comunicaciones, robótica, ensayos no destructivos de materiales (NDT), etc. Sus particulares propiedades matemáticas las hacen muy atractivas para todas aquellas aplicaciones donde sea necesario recuperar una cierta información digital contenida en una señal afectada por el ruido, atenuación del canal, interferencia de otras fuentes, etc. Sus propiedades de ortogonalidad también las hacen interesantes para aplicaciones donde varias fuentes emisoras utilizan el mismo canal físico en forma simultánea (sistemas de multiemisión). (es)
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