A VLSI Architecture for the Binary Jacket Sequence 


Vol. 27,  No. 2, pp. 116-123, Feb.  2002


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  Abstract

The Jacket matrix is based on the Walsh-Hadamard matrix and an extension of it. While elements of the Walsh-Hadamard matrix are +1 or -1, those of the Jacket matrix are ±1 and +0), which is ±j and ±2". This matrix has weights in the center part of the matrix and its size is 1/4 of Hadamard matrix, and it has also two parts, sign and weight.
In this paper, instead of the conventional Jacket matrix where the weight is imposed by force, a simple Jacket sequence generation method is proposed. The Jacket sequence is generated by AND and Exclusive-OR operations between the binary indices bits of row and those of column. The weight is imposed on the element only when the product of each Exclusive-OR operations of significant upper two binary index bits of a row and column is 1. Each part of the Jacket matrix can be represented by Jacket sequence using row and column binary index bits. Using Distributed Arithmetic (DA), we present a VLSI architecture of the Fast Jacket transform is presented. The Jacket matrix is able to be applied to cryptography, the informationtheory and complex spreading Jacket QPSK modulation for WCDMA.

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  Cite this article

[IEEE Style]

J. Park and M. Lee, "A VLSI Architecture for the Binary Jacket Sequence," The Journal of Korean Institute of Communications and Information Sciences, vol. 27, no. 2, pp. 116-123, 2002. DOI: .

[ACM Style]

Ju-yong Park and Moon-ho Lee. 2002. A VLSI Architecture for the Binary Jacket Sequence. The Journal of Korean Institute of Communications and Information Sciences, 27, 2, (2002), 116-123. DOI: .

[KICS Style]

Ju-yong Park and Moon-ho Lee, "A VLSI Architecture for the Binary Jacket Sequence," The Journal of Korean Institute of Communications and Information Sciences, vol. 27, no. 2, pp. 116-123, 2. 2002.

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pISSN : 1226 - 4717
eISSN : 2287 - 3880