In this paper, theoretical performance analysis of watermarking schemes based on correlation detection is undertaken, leading to a number of important observations on the watermarking system detection performance. Statistical properties of watermark sequences generated by piecewise-linear Markov maps are investigated. Correlation/spectral properties of such sequences are easily controllable, a ...

In previous work, a class of digital sound synthesis methods was introduced using iterated nonlinear functions [1][2][3][4]. Within the phase space of any method in the class, we encounter regions of special interest where signals have peculiar self-similar structures (waveforms of multiple fractal contours) [5][6]. Due to the system dynamics, emergent properties in the output sound signal resu...

The paper investigates the dynamics of a body under piecewise constant periodic force with an arbitrary duty cycle and in presence oscillation limiter. mathematical model is strongly nonlinear non-autonomous dynamical system truncated phase space along one coordinates. Using point mapping method for (vibro-impact) systems, equations two-dimensional Poincare map are obtained form explicit analy...

Chaotic signals generated by iterating piecewise-linear (PWL) maps on the unit interval are highly atractive in a wide range of signal processing applications. In this letter, optimal estimation algorithms for signals generated by iterating PWL maps and observed in white noise are derived based on the method of maximum likelihood (ML). It is shown how the phase space of the map may be decompose...

We study the topological dynamics by iterations of a piecewise continuous, non linear and locally contractive map in a real finite dimensional compact ball. We consider those maps satisfying the “separation property”: different continuity pieces have disjoint images. The continuity pieces act as stable topological manifolds while the points in the discontinuity lines, separating different conti...

We study the structure of the 2D bifurcation diagram for a two-parameter family of piecewise smooth unimodal maps f with one break point. Analysing the parameters of the normal form for the border-collision bifurcation of an attracting n-cycle of the map f, we describe the possible kinds of dynamics associated with such a bifurcation. Emergence and role of border-collision bifurcation curves in...

In this paper a bifurcation analysis of a piecewise-affine discrete-time dynamical system is carried out. Such a system derives from a well-known map which has good features from its circuit implementation point of view and good statistical properties in the generation of pseudo-random sequences. The considered map is a generalization of it and the bifurcation parameters take into account some ...

A chaotic transmitter and a synchronized chaotic receiver have been designed in a 0.25um CMOS process. Both transmitter and receiver use conversions between voltage and time to implement nonlinear tent-map functions. The transmitter outputs chaotic pulse position modulated (C-PPM) data as a stream of 2.3V p-p pulses of <1ns duration. The chaotic receiver uses the timing information between puls...

In this paper we introduce two innovative image and video watermarking algorithms. The paper’s main emphasis is on the use of chaotic maps to boost the algorithms’ security and resistance against attacks. By encrypting the watermark information in a one dimensional chaotic map, we make the extraction of watermark for potential attackers very hard. In another approach, we select embedding po...

In this paper we present the computation of symbolic dynamics of a one dimensional return map of a piecewise-affine hybrid system. The system arises as a simple electrical circuit with hysteresis switching, and exhibits chaotic dynamics. Our method allows us to rigorously obtain a qualitative description of the discrete behaviour of the system. We show how the discrete dynamics changes as a par...