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引用次数: 0
摘要
在本文中,流行的数独谜题是一个正方形9 × 9矩阵,排列成3 × 3块,用于生成新的二进制编码序列,这对雷达和无线通信的应用很有吸引力。每个数独码字都对应于一组十进制整数1到9,以一种独特的模式放置在数独矩阵中,称为排列,这样每一行,每列,对角线和每个3 x 3块都恰好包含九个整数中的每个整数一次。给出了数独二进制编码序列的信号模型和自相关函数。多载波码分多址(CDMA)和跳频(FH) CDMA信令方案,广泛应用于无线通信和雷达,描述基于使用数独二进制码。
Sudoku Binary Codes and Signaling Schemes for the Applications of Radar and Wireless Communications
In this paper, the popular Sudoku puzzle that is a square 9 x 9 matrix, arranged into 3 x 3 blocks, is used to generate new binary coded sequences that are attractive for the applications of radar and wireless communications. Each of the Sudoku codewords corresponds to the set of decimal integer numbers 1 to 9 placed in the Sudoku matrix in a unique pattern, referred to as permutation, such that each row, each column, diagonal, and each 3 x 3 block contains each of the nine integers exactly once. The signal model and the autocorrelation function of the Sudoku binary coded sequences are presented. Multicarrier (MC) code division multiple access (CDMA), and frequency-hopping (FH) CDMA signaling schemes, widely used in wireless communications and radar, are described based on the use of Sudoku binary codes.