Year
2017/2018
2016/2017
2015/2016
2014/2015
2013/2014
2012/2013
2011/2012
2010/2011
2009/2010
2008/2009
2007/2008
2006/2007
2005/2006
NEDERLANDS
ENGLISH
Organization
-- all --
Aerospace Engineering
Applied Sciences
Architecture
Civil Engineering and Geosciences
Delft Top Tech
Electrical Engineering, Mathematics and Computer Science
External institution
Industrial Design Engineering
Mechanical, Maritime and Materials Engineering
Technology, Policy and Management
Universiteitsdienst
Education Type
-- all --
Post Graduate
Electives
Master
Honours Programme Bachelor
Honours Programme Master
Bachelor
Minor
MOOCs
Bridging Programme
Education
-- all --
3mE Keuzevakken
AR Electives
Bachelor Aerospace Engineering
Bachelor Applied Earth Sciences
Bachelor Applied Mathematics
Bachelor Applied Physics
Bachelor Architecture, Urbanism and Building Sc.
Bachelor Chemical Engineering & Biochemical Engen.
Bachelor Civil Engineering
Bachelor Clinical Technology
Bachelor Computer Science and Engineering
Bachelor Electrical Engineering
Bachelor Industrial Design Engineering
Bachelor Life Science and Technology
Bachelor Marine Technology
Bachelor Mechanical Engineering
Bachelor Molecular Science & Technology
Bachelor Nanobiology
Bachelor Sustainable Molecular Science & Technol.
Bachelor Systems Engineering, Policy Analysis & M
Bridging program Applied Earth Sciences
Bridging Programmes 3mE
EWI Electives Service-Education
Extern Institute
Honours Programme Bachelor
Honours Programme Bachelor Architecture, Urbanism & Building Sciences
Honours Programme Bachelor Industrial Design
Honours Programme Bachelor Technische Bestuurskunde
Honours Programme Master
Honours Programme Master Architecture and the Built Environment
Honours Programme Master Industrial Design
Honours Programme Master Infrastructures and Environment
Honours Programme Master Systems Engineering, Policy Analysis & Man.
HTE bridging programme EWI
International Master AR
IO Electives
Master Aerospace Engineering
Master Applied Earth Sciences
Master Applied Mathematics
Master Applied Physics
Master Architecture, Urbanism & Building Sciences
Master Biochemical Engineering
Master Biomedical Engineering
Master Business in Energy Systems (3mE)
Master Chemical Engineering
Master Civiele Techniek
Master Complex Systems Engineering and Management
Master Computer Engineering
Master Computer Science
Master Construction Management and Engineering
Master Customs & Supply Chain Compliance (TBM)
Master Design for Interaction
Master Electrical Engineering
Master Embedded Systems
Master Engineering and Policy Analysis
Master Geomatics
Master Geomatics OLD EDUCATION
Master Industrial Ecology
Master Industrial Ecology
Master Integrated Product Design
Master Life Science and Technology
Master Management of Technology
Master Marine Technology
Master Materials Science and Engineering
Master Mechanical Engineering
Master Media & Knowledge Engineering
Master Nanobiology
Master Nanoscience
Master Offshore and Dredging Engineering
Master Science Education and Communication
Master Specialisations
Master Strategic Product Design
Master Sustainable Energy Technology (SET)
Master Sustainable Energy Technology (SET)
Master Systems and Control
Master Technical Medicine
Master Technische Universitaire Leraren Opleiding
Master Transport, Infrastructure & Logistics
Minors Aerospace Engineering
Minors Applied Earth Sciences
Minors Applied Mathematics
Minors Applied Sciences
Minors Biomedical Engineering
Minors BK
Minors Civil Engineering
Minors Electrical Engineering
Minors EWI
Minors Industrial Design Engineering
Minors Management of Technology
Minors Marine Technology
Minors Material Science and Engineering
Minors Mechanical Engineering
Minors Systems Engineering and Policy Analysis
Minors Technical Informatics
Minors WM
MOOCs for Credits
PDEng BioProduct Design
PDEng Chemical Product Design
PDEng Designer in Bioprocess Engineering
PDEng Process and Equipment Design
Post Graduate Berlage
Post Graduate EM-U
Pre-Master Aerospace Engineering
Pre-Master AR
Pre-Master Biomedical Engineering
Pre-Master Industrial Design Engineering
Pre-Master Marine Technology
Pre-Master Material Science and Engineering
Pre-Master Mechanical Engineering
Pre-Master Offshore and Dredging Engineering
Pre-Master Programme TNW
Pre-Master Systems and Control
Pre-Master Techniek, Bestuur en Management
Schakelopleiding Civil Engineering
Schakelopleiding Construction Management and Engineering
Schakelopleiding Transport, Infrastructure and Logistics
TBM Electives
WM look at TBM Electives
print this page
Search
Program
close all
open all
Student affairs (study abroad, well-being, etc)
Regulations (student's charter, CER, etc)
Academic Calendar
2012/2013
Electrical Engineering, Mathematics and Computer Science
Bachelor Computer Science and Engineering
TI2710-A
Signaalverwerking
ECTS: 4
Responsible Instructor
Name
E-mail
Dr.ir. R.C. Hendriks
R.C.Hendriks@tudelft.nl
Education Period
1
Start Education
1
Exam Period
1
2
Course Language
Dutch
Required for
Image processing, Imaging project
Expected prior knowledge
Analyse, lineaire algebra
Course Contents
In this course, the student learns 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, and spectral analysis
Study Goals
Properties of signals and Linear and time-invariant systems:
Motivate why DSP is important for CS.
Name the properties of signals.
Apply a simple (FIR) linear filter to a discrete-time signal and draw
outputs.
Convert verbal description of FIR filter into its mathematical notation.
Prove that a system is time-invariant.
Prove that a system is linear.
Explain the relation between the superposition principle, additivity, and
homogeneity.
Write down equation of impulse function.
Decompose signal into sum of impulse functions.
Explain why sinusoidal signals are important in DSP.
Sampling, FIR filters, and convolution:
Applying the Shannon sampling theorem on a given signal.
Explain the concept of aliasing, oversampling, undersampling.
Applying zero-order and linear interpolation on given set of samples.
Write down general FIR filter expression.
Apply FIR filter to a discrete-time signal.
Determine the impulse response of an FIR filter.
Write down and explain expression of unit impulse (dirac function).
Calculate the convolution between two sequences (signals or impulse
responses).
Explain the properties of convolution: commutative, associative,
convolution with a (delayed) unit impulse, non-causal impulse response.
Fourier Transformations:
Apply Eulers and inverse Eulers formula to functions of sinusoids.
Explain in words the usefulness and objectives of Fourier transforms (in
terms of decomposing a signal into sinusoidal components).
Write a periodic continuous-time signal as a sum of complex exponents,
sketch the signal in the time domain.
From a given Fourier series of a periodic continuous-time signal sketch
the complex, amplitude, phase spectrum, and vice versa.
Give the definition of the DTFT and DFT.
Explain the difference between Fourier series, DTF, and DFT.
Calculate the DTFT and/or DFT of a simple signal x[n].
Calculate the amplitude spectrum using DTFT and/or DFT of a simple
signal x[n].
Sketch a typical amplitude spectrum for infinite or finite length discretetime
signal x[n], and explain its axes and properties.
The frequency response:
Explain the importance of the frequency response.
Calculate the frequency response of an FIR filter with simple impulse response
h[n].
Sketch the magnitude and phase of a frequency response.
Recognize and characterize the difference between a low-pass and
high-pass filter from the frequency response.
Explain how a convolution can be calculated using the frequency
response.
Explain the difference between linear and circular convolution.
Calculate the convolution result of simple signals/impulse responses by
hand using frequency responses.
Calculated the frequency response of cascaded FIR filters.
Explain the utility of the FFT.
IIR filters:
Compute the output of Infinite impulse response (IIR) filters recursively.
Determine the impulse response of first-order IIR filters.
Determine whether first-order IIR filter is stable.
Compute the frequency response of an IIR filter.
Explain the influence of the filter coefficient of a first-order IIR on the frequency response.
Be able to design simple FIR filters using the desired frequency response.
Education Method
Lectures and instructions
Books
Book 'Signal Processing First' James H. McClellan, Ronald W. Schafer and Mark A. Yoder ISBN 0-13-120265-0 Prentice Hall.
Assessment
There is a written exam at the end of the period with open questions. The students are allowed to use the list of symbols from blackboard, on which they are allowed to add additional notes. Calculators are not allowed.
During the instructions, there is the possibility to make bonus exercises, where students can earn maximum 1 extra point for the exam.