Bernoulli shift generated chaotic watermarks: theoretic investigation
نویسندگان
چکیده
The paper statistically analyzes the behaviour of chaotic watermark signals generated by n-way Bernoulli shift maps. For this purpose, a simple blind copyright protection watermarking system is considered. The analysis involves theoretical evaluation of the system detection reliability, when a correlator detector is used. The aim of the paper is twofold: (i) to introduce the n-way Bernoulli shift generated chaotic watermarks and theoretically contemplate their properties with respect to detection reliability and (ii) to theoretically establish their potential superiority against the widely used pseudorandom watermarks. Experimental verification of the theoretical analysis results is also performed.
منابع مشابه
Chaotic Sequences of I.I.D. Binary Random Variables with Their Applications to Communications
The Bernoulli shift is a fundamental theoretic model of a sequence of independent and identically distributed(i.i.d.) binary random variables in probability theory, ergodic theory, information theory, and so on. We give a simple sufficient condition for a class of ergodic maps with some symmetric properties to produce a chaotic sequence of i.i.d. binary random variables. This condition is expre...
متن کاملIntegrated Chaos Generator for Chaotic Communication Syste..
This paper analyses a method by which chaos is generated using electronic circuits. The chaos generator required for this purpose is based on utilizing the one dimensional piece wise linear Bernoulli Shift map. The iterative map is realized using a feedback system consisting of programmable amplifier and a unity-gain sample-and-hold amplifier. The sample and hold amplifier provides necessary de...
متن کاملA Comparative Study of Chaotic and White Noise Signals in Digital Watermarking
Digital Watermarking is an ever increasing and important discipline, especially in the modern electronically-driven world. Watermarking aims to embed a piece of information into digital documents which their owner can use to prove that the document is theirs, at a later stage. In this paper, performance analysis of watermarking schemes is performed on white noise sequences and chaotic sequences...
متن کاملApplications of Symbolic Dynamics to Differential Chaos Shift Keying
In this paper we propose an enhanced version of the DCSK (Differential Chaos Shift Keying) scheme where the carrier symbolic dynamics are exploited for conveying useful information. This is achieved by means of a pseudo-chaotic encoder which spreads the input sequence approximating the dynamics of the Bernoulli shift. The information encoded in the pseudo-chaotic carrier is retrieved by using s...
متن کاملThe impact of the theoretical properties of the Logistic Function on the generation of optically detectable watermarks
A digital watermark is a visible, or preferably invisible, identification code that is permanently embedded in digital media, to prove owner authentication and provide protection for security or defence documents. In this paper, we present an approach for the generation of watermarks using a logistic chaotic function. Using this function, in conjunction with seed management, it is possible to g...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2001