Robust exact differentiation via sliding mode technique

In this brief, we propose a multilevel version of the differential chaos shift keying (DCSK) telecommunication system. The scheme, that we call quadrature chaos shift keying (QCSK), is based upon the generation of an orthogonal basis of chaotic functions. QCSK is characterized by an increased data rate with respect to DCSK, with the same bandwidth occupation. The price for the performance enhancement is the increased complexity of both the transmitter and the receiver.

Quadrature chaos-shift keying: theory and performance analysis

A finite-time-convergent differentiator is presented that is based on singular perturbation technique. The merits of this differentiator exist in three aspects: rapidly finite-time convergence compared with other typical differentiators; no chattering phenomenon; and besides the derivatives of the derivable signals, the generalized derivatives of some classes of signals can be obtained-for example, the generalized derivative of a triangular wave is square wave, etc. The theoretical results are confirmed by computer simulations.

Finite-Time-Convergent Differentiator Based on Singular Perturbation Technique

A new theoretical basis of higher-derivative optical differentiators

This brief presents a general theory of the Newton-Cotes digital integrators which is derived by applying the z-transform technique to the closed-form Newton-Cotes integration formula. Based on this developed theory, a new wideband third-order trapezoidal digital integrator is found to be a class of trapezoidal digital integrators. The novel wideband third-order trapezoidal integrator accurately approximates the ideal integrator over the whole Nyquist frequency range and compares favourably with existing integrators. Based on the designed wideband third-order trapezoidal integrator, a new wideband digital differentiator is designed, which approximates the ideal differentiator reasonably well over the whole Nyquist frequency range and compares favourably with existing differentiators. The low orders and high accuracies of the novel wideband trapezoidal integrator and the new wideband differentiator make them attractive for real-time applications

A New Approach for the Design of Wideband Digital Integrator and Differentiator

The design of Hilbert transformers and differentiators by eigenfilters is presented. The filter coefficients are computed from an eigenvector of an appropriate real, symmetric, and positive-definite matrix. The method is simple, and the performance is better than that of McClellan-Parks algorithm. The design time is fast and comparable for filter length less than one hundred. >

Shyu Jong-Jy

Papers

Design of FIR Hilbert transformers and differentiators by eigenfilter