A new class of spatially-discrete time-continuous 2D IIR filters based on wave-digital-filter theory

Over the last couple of decades, many methods for synchronizing chaotic systems have been proposed with communications applications in view. Yet their performance has proved disappointing in face of the nonideal character of usual channels linking transmitter and receiver, that is, due to both noise and signal propagation distortion. Here we consider a discrete-time master-slave system that synchronizes despite channel bandwidth limitations and an allied communication system. Synchronization is achieved introducing a digital filter that limits the spectral content of the feedback loop responsible for producing the transmitted signal.

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Noise suppression using wave digital filter banks

[1992] Proceedings of the 35th Midwest Symposium on Circuits and Systems ◽

10.1109/mwscas.1992.271034 ◽

2003 ◽

Author(s):

K. Meerkotter ◽

R. Scholz

Keyword(s):

Digital Filter ◽

Noise Suppression ◽

Filter Banks ◽

Wave Digital Filter ◽

Digital Filter Banks

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Novel Design of Recursive Differentiator Based on Lattice Wave Digital Filter

Radioengineering ◽

10.13164/re.2017.0387 ◽

2017 ◽

Vol 26 (1) ◽

pp. 387-395 ◽

Cited By ~ 1

Author(s):

R. Barsainya ◽

T. K. Rawat

Keyword(s):

Digital Filter ◽

Wave Digital Filter ◽

Lattice Wave ◽

Novel Design

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Stabilization of a Class of Switched Positive Nonlinear Systems

Mathematical Problems in Engineering ◽

10.1155/2015/152410 ◽

2015 ◽

Vol 2015 ◽

pp. 1-7

Author(s):

Xing Xing ◽

Zhichun Jia ◽

Yunfei Yin ◽

Tingting Wu

Keyword(s):

Nonlinear Systems ◽

Discrete Time ◽

Continuous Time ◽

Dwell Time ◽

Average Dwell Time ◽

Sufficient Condition ◽

Cooperative System ◽

Numerical Example ◽

New Class

The problem of switching stabilization for a class of switched positive nonlinear systems (switched positive homogeneous cooperative system (SPHCS) in the continuous-time context and switched positive homogeneous order-preserving system (SPHOS) in the discrete-time context) is studied by using average dwell time (ADT) approach, where the positive subsystems are possibly all unstable. To tackle this problem, a new class of ADT switching is first defined, which is different from the previous defined ADT switching in the literature. Then, the proposed ADT is designed via analyzing the weightedl∞norm of the considered system’s state. A sufficient condition of stabilization for SPHCSs with unstable positive subsystems is derived in continuous-time context. Furthermore, a sufficient condition for SPHOSs under the assumption that all modes are possibly unstable is also obtained. Finally, a numerical example is given to demonstrate the advantages and effectiveness of our developed results.

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