"

Cookies ussage consent

Our site saves small pieces of text information (cookies) on your device in order to deliver better content and for statistical purposes. You can disable the usage of cookies by changing the settings of your browser. By browsing our site without changing the browser settings you grant us permission to store that information on your device.

I agree, do not show this message again.

Asymmetric watermarking scheme in fractional Hartley domain using modified equal modulus decomposition

P. SINGH1,* , A. K. YADAV2, K. SINGH3, I. SAINI1

Affiliation

  1. Central University of Haryana, Mahendergarh 123031, India
  2. Amity School of Applied Sciences, Amity University Haryana, Gurugram-122413, India
  3. The NorthCap University, Gurugram -122017, India

Abstract

Motivated by the endurance of special attack on asymmetric cryptosystems by modified equal modulus decomposition, a new watermarking scheme for grayscale images in fractional Hartley domain is proposed in this paper. The input grayscale images, bonded with random phase mask, are transformed according to fractional Hartley transform, followed by equal modulus decomposition. One of the two images obtained by equal modulus decomposition serves as a private key, whereas the other image is further transformed with another fractional Hartley transform followed by equal modulus decomposition. Again, one of the resulting images acts as a second private key, whereas the other image is phase truncated before combining with the host image, resulting in a watermarked image. Simulation of the watermarking scheme shows that the scheme is very sensitive to private keys, fractional Hartley orders, and attenuation factor used in the watermarking process. Analysis of histograms, autocorrelation plot, and entropy also indicate that the scheme resists statistical attacks. The scheme also shows its robustness against the additive Gaussian noise attack..

Keywords

Modified equal modulus decomposition, Fractional Hartley transform, Watermarking.

Submitted at: Nov. 10, 2018
Accepted at: Aug. 20, 2019

Citation

P. SINGH, A. K. YADAV, K. SINGH, I. SAINI, Asymmetric watermarking scheme in fractional Hartley domain using modified equal modulus decomposition, Journal of Optoelectronics and Advanced Materials Vol. 21, Iss. 7-8, pp. 484-491 (2019)