TU Delft
Education Type
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2011/2012 Electrical Engineering, Mathematics and Computer Science Bachelor Computer Science and Engineering
Responsible Instructor
Name E-mail
Dr.ir. R.C. Hendriks    R.C.Hendriks@tudelft.nl
Education Period
Start Education
Exam Period
Course Language
Required for
Image processing, Imaging project
Expected prior knowledge
Analyse, lineaire algebra
Course Contents
During the course we discuss the basic principles of signal processing. Topics that will be discussed are harmonic signals, spectral representation, Fourier transforms, sampling and aliasing, FIR and IIR filters, convolutions, linear time-invariant systems, frequency response, Z-transforms and spectral analysis.
Study Goals
1. Spectrum representation
keywords: sinusoids, complex exponentials, phasors, spectrum, Fourier series
The student
- is able to analyze the spectral content of a signal
- is able to use phasor arithmetic
2. Sampling
keywords: sampling theorem, sampling frequency, aliasing, folding, interpolation
The student
- is able to apply the sampling theorem
- is able to understand the basic principles of sampling
- is able to explain the effects of over and under sampling, i.e., aliasing and folding
3. Filtering
keywords: impulse response, finite impulse response, infinite impulse response, linear systems, time-invariant systems, convolution, frequency response, stability
The student
- is able to explain the effects of filtering on signals
- is able to understand the basic properties of linear time-invariant systems (impulse response, convolution)
- is able to compute the frequency response of linear time-invariant filters
- is able to analyze stability of first-order IIR systems
4. Signal transforms
keywords: Z-transform, discrete Fourier transform, transfer function, poles, zeros
The student
- is able to compute the Z-transform of signals
- is able to compute poles and zeros of transfer functions
- is able to explain the relation between the transfer function and the frequency response
- is able to understand the relation between poles/zeros and the frequency response
- is able to compute the discrete Fourier transform
Education Method
Lectures and instructions

Book 'Signal Processing First' James H. McClellan, Ronald W. Schafer and Mark A. Yoder ISBN 0-13-120265-0 Prentice Hall.
written exam with CLOSED book, but students are allowed to prepare one double-sided A4 formula sheet.