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Lecture

Analog Circuits and Systems: The Laplace Transform

In course

MICRO-211: Analog circuits and systems

This course introduces the analysis and design of linear analog circuits based on operational amplifiers. A Laplace early approach is chosen to treat important concepts such as time and frequency responses, convolution, and filter design. The course is com ...

Description

This lecture introduces the aims, syllabus, teaching methods, and tools for analyzing linear analog circuits using the Laplace transform. It covers the history and importance of the Laplace transform, basic waveforms, Laplace transform definition, properties, and pairs. The lecture also discusses the translation property, damped signals, and the inverse Laplace transform.

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Instructor

Christian Enz

Christian C. Enz (M84, S'12) received the M.S. and Ph.D. degrees in Electrical Engineering from the EPFL in 1984 and 1989 respectively. From 1984 to 1989 he was research assistant at the EPFL, working in the field of micro-power analog IC design. In 1989 he was one of the founders of Smart Silicon Systems S.A. (S3), where he developed several low-noise and low-power ICs, mainly for high energy physics applications. From 1992 to 1997, he was an Assistant Professor at EPFL, working in the field of low-power analog CMOS and BiCMOS IC design and device modeling. From 1997 to 1999, he was Principal Senior Engineer at Conexant (formerly Rockwell Semiconductor Systems), Newport Beach, CA, where he was responsible for the modeling and characterization of MOS transistors for the design of RF CMOS circuits. In 1999, he joined the Swiss Center for Electronics and Microtechnology (CSEM) where he launched and lead the RF and Analog IC Design group. In 2000, he was promoted Vice President, heading the Microelectronics Department, which became the Integrated and Wireless Systems Division in 2009. He joined the EPFL as full professor in 2013, where he is currently the director of the Institute of Microengineering (IMT) and head of the Integrated Circuits Laboratory (ICLAB).He is lecturing and supervising undergraduate and graduate students in the field of Analog and RF IC Design at EPFL. His technical interests and expertise are in the field of very low-power analog and RF IC design, semiconductor device modeling, and inexact and error tolerant circuits and systems.He has published more than 200 scientific papers and has contributed to numerous conference presentations and advanced engineering courses. Together with E. Vittoz and F. Krummenacher he is one of the developer of the EKV MOS transistor model and the author of the book "Charge-Based MOS Transistor Modeling - The EKV Model for Low-Power and RF IC Design" (Wiley, 2006). He has been member of several technical program committees, including the International Solid-State Circuits Conference (ISSCC) and European Solid-State Circuits Conference (ESSCIRC). He has served as a vice-chair for the 2000 International Symposium on Low Power Electronics and Design (ISLPED), exhibit chair for the 2000 International Symposium on Circuits and Systems (ISCAS) and chair of the technical program committee for the 2006 European Solid-State Circuits Conference (ESSCIRC). Since 2012 he has been elected as member of the IEEE Solid-State Circuits Society (SSCS) Administrative Commmittee (AdCom). He is also Chair of the IEEE SSCS Chapter of Switzerland.

Official source

Ontological neighbourhood

Information engineering

Signal processing: Fourier analysis

Physics

Electromagnetism: Electrical networks

Related concepts (32)

Linear circuit

A linear circuit is an electronic circuit which obeys the superposition principle. This means that the output of the circuit F(x) when a linear combination of signals ax1(t) + bx2(t) is applied to it is equal to the linear combination of the outputs due to the signals x1(t) and x2(t) applied separately: It is called a linear circuit because the output voltage and current of such a circuit are linear functions of its input voltage and current. This kind of linearity is not the same as that of straight-line graphs.

Analogue electronics

Analogue electronics (analog electronics) are electronic systems with a continuously variable signal, in contrast to digital electronics where signals usually take only two levels. The term "analogue" describes the proportional relationship between a signal and a voltage or current that represents the signal. The word analogue is derived from the word ανάλογος n(analogos) meaning "proportional". Analogue signal An analogue signal uses some attribute of the medium to convey the signal's information.

Network analysis (electrical circuits)

In electrical engineering and electronics, a network is a collection of interconnected components. Network analysis is the process of finding the voltages across, and the currents through, all network components. There are many techniques for calculating these values; however, for the most part, the techniques assume linear components. Except where stated, the methods described in this article are applicable only to linear network analysis.

Integral transform

In mathematics, an integral transform maps a function from its original function space into another function space via integration, where some of the properties of the original function might be more easily characterized and manipulated than in the original function space. The transformed function can generally be mapped back to the original function space using the inverse transform. An integral transform is any transform of the following form: The input of this transform is a function , and the output is another function .

Fourier transform

In physics and mathematics, the Fourier transform (FT) is a transform that converts a function into a form that describes the frequencies present in the original function. The output of the transform is a complex-valued function of frequency. The term Fourier transform refers to both this complex-valued function and the mathematical operation. When a distinction needs to be made the Fourier transform is sometimes called the frequency domain representation of the original function.

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