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Construction of Merit Factors of Jacobi Sequence through Periodic Extension and a Directed Search Methods


     

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This paper deals with periodic extension via direct search method which is applied to Jacobi sequence and compared with Legendre sequence as in reference base paper [1]. Merit factors are compared for different sequences using extended search and periodic extension. It is observed that sequence can be simplified as described in periodic extension of periodicity rotated Legendre sequence. With this improvement very high merit factors are obtained for various instant sizes.

Keywords

Low Autocorrelation Binary Sequences, Legendre Sequence, Jacobi Sequence, Merit Factors.
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  • Construction of Merit Factors of Jacobi Sequence through Periodic Extension and a Directed Search Methods

Abstract Views: 133  |  PDF Views: 3

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Abstract


This paper deals with periodic extension via direct search method which is applied to Jacobi sequence and compared with Legendre sequence as in reference base paper [1]. Merit factors are compared for different sequences using extended search and periodic extension. It is observed that sequence can be simplified as described in periodic extension of periodicity rotated Legendre sequence. With this improvement very high merit factors are obtained for various instant sizes.

Keywords


Low Autocorrelation Binary Sequences, Legendre Sequence, Jacobi Sequence, Merit Factors.