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