 # Concepts and circuits for signal processing

## Presentation

Programme (detailed contents):

Fourier series and Fourier transform - linear invariant filtering - transfer function - Laplace transform - Bode plots and charts - Sampling - Shannon's theorem - Operational Amplifier (OA) as a basic component - Main basic circuits involving OAs - passive filters - Fundamentals of signal generation.

Organisation:

v  Lectures, tutorials and lab work

v  Duplicated lecture, tutorials and lab work notes will be provided

Main difficulties for students:

Integration, trigonometric formulations

## Objectives

At the end of this module, the student will have understood and be able to explain (main concepts):

v  the main concepts, mathematical methods and tools used for signal processing

v  the main concepts of modern analog electronics encountered in signal processing as well as for generating deterministic signals

The student will be able to:

v  decompose periodic signals into Fourier series

v  determine the spectrum of deterministic signals

v  calculate the transfer function of a continuous, invariant linear filter and calculate

v  the output signal of that filter for a given input

v  design and build either a wide-band or selective amplifier stage using an operational amplifier

v  filter signals using a passive filter

v  needed

v  design and implement a basic signal generator using operational amplifiers.

v  identify an equivalent circuit diagram and extract the input & output impedance, and evaluate the impedance adaptation criterion

v  manipulate in frequency and time domain first & second order transfer functions in transient and steady states

## Needed prerequisite

v  Analysis and algebra I2MAMT11

v  Electrokinetics I1ANPH11

## Form of assessment

The evaluation of outcome prior learning is made as a continuous training during the semester. According ot the teaching, the assessment will be different: as a written exam, an oral exam, a record, a written report, peers review...

## Additional information

Fourier series - Fourier transform - Linear filtering - transfer function - Laplace transform - Bode plot - Sampling - Shannon theorem - Operational Amplifier - amplifier - passive filtering