High order sliding mode observers and singular value decomposition in communications

An important issue in communications, in general, and cryptography, in particular, is recovering the information of interest at the reception end. Recent techniques make use of sliding mode observers to achieve this. Another useful method to reconstruct the state space of the transmitter at the receiver end, is the singular value decomposition. Targeting secure communications, the aim of the present paper is to compare the efficiency of the two techniques, when applied to the estimation of the state space of the transmitter at the reception end. For numerical exemplification, a Sprott's jerk-like system was used. The example is taken without loss of generality, being applicable to all differential models expressing the temporal evolution of diode or bipolar-junction transistor based circuits, like the well-known Colpitts oscillator.