Piecewise linear modeling and analysis

Piecewise Linear (PL) approximation of non-linear behaviour is a well-known technique in synthesis and analysis of electrical networks. However, the PL description should be efficient in data storage and the description should allow simple retrieval of the stored information. Furthermore, it would be useful if the model description could handle a large class of piecewise linear mappings. Piecewise Linear Modeling and Analysis explains in detail all possible model descriptions for efficiently storing piecewise linear functions, starting with the Chua descriptions. Detailed explanation on how the model parameter can be obtained for a given mapping is provided and demonstrated by examples. The models are ranked to compare them and to show which model can handle the largest class of PL mappings. All model descriptions are implicitly related to the Linear Complementarity Problem and most solution techniques for this problem, like Katzenelson and Lemke, are discussed according to examples that are explained in detail. To analyse PL electrical networks a simulator is mandatory. Piecewise Linear Modeling and Analysis provides a detailed outline of a possible PL simulator, including pseudo-programming code. Several simulation domains like transient, AC and distortion are discussed. The book explains the attractive features of PL simulators with respect to mixed-level and mixed-signal simulation while paying due regard also to hierarchical simulation. Piecewise Linear Modeling and Analysis shows in detail how many existing components in electrical networks can be modeled. These range from digital logic and analog basic elements such as transistors to complex systems like Phase-Locked Loops and detection systems. Simulation results are also provided. The book concludes with a discussion on how to find multiple solutions for PL functions or networks. Again, the most common techniques are outlined using clear examples. Piecewise Linear Modeling and Analysis is an indispensable guide for researchers and designers interested in network theory, network synthesis and network analysis

Amplification via chaos in renegerative detectors

In this paper it is shown that the extra ordinary amplification and high sensitivity of the regenerative detector is caused by the chaotic behavior of the system during operation. The detector was invented by Armstrong in 1922. We demonstrate the chaotic behavior using computer simulations. It is shown that during the period in which the irregularities appear, the amplification of incoming signals is maximal

Amplification via chaos in renegerative detectors

In this paper it is shown that the extra ordinary amplification and high sensitivity of the regenerative detector is caused by the chaotic behavior of the system during operation. The detector was invented by Armstrong in 1922. We demonstrate the chaotic behavior using computer simulations. It is shown that during the period in which the irregularities appear, the amplification of incoming signals is maximal

High-level synthesis of analog sensor interface front-ends

In this paper we will compare three different methodologies for analog high-level synthesis. Two optimization- based methods-one with simulations in the loop, the other with equations-and a library-based approach are discussed and illustrated with experimental results. The comparison is made by means of a real life design example- A radiation detector interface ASIC-although the methodologies presented in this paper, are generally applicable.</p