Secured Transmission of ECG Signals: Numerical and Electronic Simulations

Abstract

In many domains of science and technology, as the need for secured transmission of information has grown over the years, a variety of methods have been studied and devised to achieve this goal. In this paper, we present an information securing method using chaos encryption. Our proposal uses only one chaotic oscillator both for signal encryption and decryption, for avoiding the delicate synchronisation step. We carried out numerical and electronic simulations of the proposed circuit using electrocardiographic signals as input. Results obtained from both simulations were compared and exhibited a good agreement proving the suitability of our system for signal encryption and decryption.

Chaos-Based Encryption of ECG Signals: Experimental Results

“…For initial conditions (x = 0.2, y = 0.5, z = 0.5), the system being solved by means of 4th order Runge Kutta technique, with Step 0.01, three values of Lyapunov exponents (Lamda 1, Lamda 2, Lamda 3) are obtained: Lamda 10.1 (positive value), Lamda 2 = 0.0, Lamda 3 = −0.70 (negative value). These results validate the bifurcation diagram of Figure 8 and prove the chaotic nature of the oscillator [18].…”

“…Under certain circumstances that are discussed in [18], the voltage across any of the two capacitors exhibits chaotic behaviour. This signal is used to encrypt the ECG in the EDS.…”

“…We can see that the waveforms change according to the current's value until the chaotic state is reached as shown below by waveforms V C1 and V C2 for a current of 7.6 mA (Figure 6) and phase diagram (Figure 7). The bifurcation diagram obtained [18] as the current varies is plotted below (Figure 8).…”

Super persistent transient in a master–slave configuration with Colpitts oscillators

“…In future works, we plan to study this coupled system considering electronic simulations [26], and also to get experimental results through an electronic circuit.…”

Synchronization of the Chaotic Pandey-Baghel-Singh Systems of Fractional Order

“…in paper [16] was introduced Pandey-Baghel-Singh chaotic system of integer order. Synchronization of chaos is a very interesting problem, enjoying a wide interest, for example, in control technology, cryptography, communications [9,20], etc. The problem of synchronization of chaos recently has been intensively studied in many papers, see for example [3,4,7,10,11,25] for systems of integer order and [2,6,12,14,17,21,22] for system of fractional order.…”