Fast reciprocal Jacket transform with many parameters

Moon Ho Lee; Xiao Dong Zhang; Wei Song; Xiang Gen Xia

doi:10.1109/TCSI.2011.2177013

Fast reciprocal Jacket transform with many parameters

Moon Ho Lee^*, Xiao Dong Zhang, Wei Song, Xiang Gen Xia

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

In this paper, a novel class of element-wise inverse Jacket transforms (EIJT) with many parameters are proposed for signal length N = 3 × 2 ^r. The EIJT has 2N - 1 independent parameters. It is shown that the inverse transform of the proposed EIJT can be easily obtained by taking each reciprocal entry of the forward matrix of Jacket transform and then transposing the resulting matrix. Their fast transforms are also developed. Due to their simplicity, the proposed EIJT transforms may be used in many transform-based applications, where their independent parameters may provide more degrees of freedom such as affording an additional secret key in watermarking and encryption applications.

Original language	English
Article number	6166492
Pages (from-to)	1472-1481
Number of pages	10
Journal	IEEE Transactions on Circuits and Systems I: Regular Papers
Volume	59
Issue number	7
DOIs	https://doi.org/10.1109/TCSI.2011.2177013
Publication status	Published - 2012
Externally published	Yes

Keywords

Center weighted Hadamard matrix
Jacket matrix
element-wise inverse Jacket transform

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10.1109/TCSI.2011.2177013

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title = "Fast reciprocal Jacket transform with many parameters",

abstract = "In this paper, a novel class of element-wise inverse Jacket transforms (EIJT) with many parameters are proposed for signal length N = 3 × 2 r. The EIJT has 2N - 1 independent parameters. It is shown that the inverse transform of the proposed EIJT can be easily obtained by taking each reciprocal entry of the forward matrix of Jacket transform and then transposing the resulting matrix. Their fast transforms are also developed. Due to their simplicity, the proposed EIJT transforms may be used in many transform-based applications, where their independent parameters may provide more degrees of freedom such as affording an additional secret key in watermarking and encryption applications.",

keywords = "Center weighted Hadamard matrix, Jacket matrix, element-wise inverse Jacket transform",

author = "Lee, {Moon Ho} and Zhang, {Xiao Dong} and Wei Song and Xia, {Xiang Gen}",

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T1 - Fast reciprocal Jacket transform with many parameters

AU - Lee, Moon Ho

AU - Zhang, Xiao Dong

AU - Song, Wei

AU - Xia, Xiang Gen

PY - 2012

Y1 - 2012

N2 - In this paper, a novel class of element-wise inverse Jacket transforms (EIJT) with many parameters are proposed for signal length N = 3 × 2 r. The EIJT has 2N - 1 independent parameters. It is shown that the inverse transform of the proposed EIJT can be easily obtained by taking each reciprocal entry of the forward matrix of Jacket transform and then transposing the resulting matrix. Their fast transforms are also developed. Due to their simplicity, the proposed EIJT transforms may be used in many transform-based applications, where their independent parameters may provide more degrees of freedom such as affording an additional secret key in watermarking and encryption applications.

AB - In this paper, a novel class of element-wise inverse Jacket transforms (EIJT) with many parameters are proposed for signal length N = 3 × 2 r. The EIJT has 2N - 1 independent parameters. It is shown that the inverse transform of the proposed EIJT can be easily obtained by taking each reciprocal entry of the forward matrix of Jacket transform and then transposing the resulting matrix. Their fast transforms are also developed. Due to their simplicity, the proposed EIJT transforms may be used in many transform-based applications, where their independent parameters may provide more degrees of freedom such as affording an additional secret key in watermarking and encryption applications.

KW - Center weighted Hadamard matrix

KW - Jacket matrix

KW - element-wise inverse Jacket transform

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DO - 10.1109/TCSI.2011.2177013

M3 - Article

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SN - 1549-8328

VL - 59

SP - 1472

EP - 1481

JO - IEEE Transactions on Circuits and Systems I: Regular Papers

JF - IEEE Transactions on Circuits and Systems I: Regular Papers

IS - 7

M1 - 6166492

ER -

Fast reciprocal Jacket transform with many parameters

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Keywords

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