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DISCRETE WAVELET TRANSFORM AND DATA EXPANSION REDUCTION IN
HOMOMORPHIC ENCRYPTED DOMAIN
ABSTRACT:
In this paper, we propose a method for implementing discrete wavelet transform (DWT) and
multiresolution analysis (MRA) in homomorphic encrypted domain. We first suggest a
framework for performing DWT and inverse DWT (IDWT) in the encrypted domain, then
conduct an analysis of data expansion and quantization errors under the framework. To solve the
problem of data expansion, which may be very important in practical applications, we present a
method for reducing data expansion in the case that both DWT and IDWT are performed.
We proposed method, multilevel DWT/IDWT can be performed with less data expansion in
homomorphic encrypted domain. We propose a new signal processing procedure, where the
multiplicative inverse method is employed as the last step to limit the data expansion. Taking a
2-D Haar wavelet transform as an example, we conduct a few experiments to demonstrate the
advantages of our method in secure image processing. We also provide computational
complexity analyses and comparisons. To the best of our knowledge, there has been no report on
the implementation of DWT and MRA in the encrypted domain.
ECWAY TECHNOLOGIES
IEEE PROJECTS & SOFTWARE DEVELOPMENTS
OUR OFFICES @ CHENNAI / TRICHY / KARUR / ERODE / MADURAI / SALEM / COIMBATORE
BANGALORE / HYDRABAD
CELL: +91 98949 17187, +91 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 / 8111
VISIT: www.ecwayprojects.com MAIL TO: ecwaytechnologies@gmail.com

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Matlab discrete wavelet transform and data expansion reduction in homomorphic encrypted domain

  • 1. DISCRETE WAVELET TRANSFORM AND DATA EXPANSION REDUCTION IN HOMOMORPHIC ENCRYPTED DOMAIN ABSTRACT: In this paper, we propose a method for implementing discrete wavelet transform (DWT) and multiresolution analysis (MRA) in homomorphic encrypted domain. We first suggest a framework for performing DWT and inverse DWT (IDWT) in the encrypted domain, then conduct an analysis of data expansion and quantization errors under the framework. To solve the problem of data expansion, which may be very important in practical applications, we present a method for reducing data expansion in the case that both DWT and IDWT are performed. We proposed method, multilevel DWT/IDWT can be performed with less data expansion in homomorphic encrypted domain. We propose a new signal processing procedure, where the multiplicative inverse method is employed as the last step to limit the data expansion. Taking a 2-D Haar wavelet transform as an example, we conduct a few experiments to demonstrate the advantages of our method in secure image processing. We also provide computational complexity analyses and comparisons. To the best of our knowledge, there has been no report on the implementation of DWT and MRA in the encrypted domain. ECWAY TECHNOLOGIES IEEE PROJECTS & SOFTWARE DEVELOPMENTS OUR OFFICES @ CHENNAI / TRICHY / KARUR / ERODE / MADURAI / SALEM / COIMBATORE BANGALORE / HYDRABAD CELL: +91 98949 17187, +91 875487 1111 / 2111 / 3111 / 4111 / 5111 / 6111 / 8111 VISIT: www.ecwayprojects.com MAIL TO: ecwaytechnologies@gmail.com
  翻译: