Semester | Mand. | Option | Filières |
x | |||
H | x | ||
MA1, MA3 | x | ||
MA1, MA3 | x | B | |
MA1, MA3 | x | F |
Lecture | 3 weekly |
Exercises | 2 weekly |
Study plan | Semester | Mand. | Option | Filières |
Cyber security 2021-22 | MA1 | x | ||
Cyber security 2021-22 | MA3 | x | ||
Data Science 2021-22 | MA1 | x | ||
Data Science 2021-22 | MA3 | x | ||
EDIC - Computer and communication sciences 2021-22 | x | |||
EDRS - Robotics, Control, and Intelligent Systems 2021-22 | x | |||
Informatique 2021-22 | MA1 | x | F | |
Informatique 2021-22 | MA3 | x | F | |
Mineur : Systems engineering 2021-22 | H | x | ||
Mineur : Systèmes de communication 2021-22 | H | x | ||
Science et ingénierie computationelles 2021-22 | MA1 | x | B | |
Science et ingénierie computationelles 2021-22 | MA3 | x | B | |
Systèmes de communication 2021-22 | MA1 | x | F | |
Systèmes de communication 2021-22 | MA3 | x | F |
Cursus | Sem. | Type |
---|---|---|
Communication systems minor | H | Opt. |
Computational science and Engineering | MA1, MA3 | Opt. |
Computer and Communication Sciences | Opt. | |
Computer science | MA1, MA3 | Opt. |
Cybersecurity | MA1, MA3 | Opt. |
Data Science | MA1, MA3 | Opt. |
Robotics, Control and Intelligent Systems | Opt. | |
SC master EPFL | MA1, MA3 | Opt. |
Systems Engineering minor | H | Opt. |
Sequences, Discrete-Time Systems, Functions and Continuous-Time Systems (review of discrete-time Fourier transform; DFT; Fourier transform and Fourier series).
From Euclid to Hilbert: Linear Algebra Fundamentals for Representation Theory (vector spaces; Hilbert spaces; approximations, projections and decompositions; bases and frames; linear operators; adjoint; generalized inverses; matrix representations; computational aspects)
Sampling and Interpolation (sampling and interpolation with normal and non orthogonal vectors, sequences and functions; sampling and interpolation of bandlimited sequences and functions)
Polynomial and Spline Approximation (Legendre and Chebyshev polynomials; Lagrange interpolation; minimax approximation; Taylor expansions; B-splines)
Regularized Inverse Problems (regularized convex optimisation; Tikhonov regularisation; penalised basis pursuit; proximal algorithms; pseudo-differential operators and L-splines; representer theorems for continuous inverse problems with Tikhonov penalties)
Signal processing for communications (or Digital signal processing on Coursera)
Linear Algebra I and II (or equivalent).
Signals and Systems
Good knowledge of linear algebra concepts. Basics of Fourier analysis and signal processing. Good knowledge of Python and its scientific packages (Numpy, Scipy).
Ex cathedra with exercises, homeworks and practicals.
Attending lectures, completing exercises.
homeworks and project assignement 50%, final exam (written) 50%
M. Vetterli, J. Kovacevic and V. Goyal, "Signal Processing: Foundations", Cambridge U. Press, 2014.
Available in open access at http://www.fourierandwavelets.org
optionnel
optionnel
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Ecrit
Written
Session hiver
Session winter
HIV
HIV
optionnel
optionnel
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Ecrit
Written
Session hiver
Session winter
HIV
HIV
optionnel
optionnel
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Ecrit
Written
Session hiver
Session winter
HIV
HIV
optionnel
optionnel
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Ecrit
Written
Session hiver
Session winter
HIV
HIV
optionnel
optionnel
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Ecrit
Written
Session hiver
Session winter
HIV
HIV
optionnel
optionnel
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Ecrit
Written
Session hiver
Session winter
HIV
HIV
optionnel
optionnel
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Ecrit
Written
Session hiver
Session winter
HIV
HIV
optionnel
optionnel
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Ecrit
Written
Session hiver
Session winter
HIV
HIV
optionnel
optionnel
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Ecrit
Written
Session hiver
Session winter
HIV
HIV
optionnel
optionnel
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Ecrit
Written
Session hiver
Session winter
HIV
HIV
optionnel
optionnel
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Ecrit
Written
Session hiver
Session winter
HIV
HIV
optionnel
optionnel
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Ecrit
Written
Session hiver
Session winter
HIV
HIV
optionnel
optionnel
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Ecrit
Written
Session hiver
Session winter
HIV
HIV
optionnel
optionnel
Cours
Lecture
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Exercices
Exercises
Heure(s) hebdo x 14 semaines
Hour(s) per week x 14 weeks
H hebdo
H hebdo
Ecrit
Written
Session hiver
Session winter
HIV
HIV
BALISES_TEXTES
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BaliseJS_debut
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BALISE_BOLD
BOOLEAN_Symbol
BaliseJS_debut
\x5bb\x5d
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[i]
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\x3ci\x3e
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BALISE_RED
BOOLEAN_Symbol
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FO_debut
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\x3cspan style="color:#990033;"\x3e
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BOOLEAN_Symbol
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\x5btab\x5d
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[tab]
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[inline]=        
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<img src="/images/gestacplus/base/pixel.gif" width="40" height="1"/>
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\x3cimg src="\x2fimages\x2fgestacplus\x2fbase\x2fpixel.gif" width="40" height="1"\x2f\x3e
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BALISE_LIST
BOOLEAN_Symbol
BaliseJS_debut
\x5bli\x5d
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[li]
Balise_fin
FO_debut
[inline]=•  
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•  
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\x26#x2022;\x26#160;\x26#160;
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CODE5045487
BOOLEAN_Symbol
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\x5b\x5d
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\x26#160;
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BALISE_GREEN
BOOLEAN_Symbol
BaliseJS_debut
\x5bgreen\x5d
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\x5b\x2fgreen\x5d
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[green]
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[/green]
FO_debut
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CODE7508550
BOOLEAN_Symbol
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\x5bblue\x5d
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BOOLEAN_Symbol
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\x5bcourier\x5d
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\x5b\x2fcourier\x5d
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FO_debut
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BALISE_SIZE20
BOOLEAN_Symbol
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\x5b20\x5d
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BOOLEAN_Symbol
BaliseJS_debut
\x5b16\x5d
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BOOLEAN_Symbol
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\x5b12\x5d
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BOOLEAN_Symbol
BaliseJS_debut
\x5b8\x5d
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\x5b\x2f8\x5d
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BOOLEAN_Symbol
BaliseJS_debut
\x5bblackback\x5d
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BALISE_WHITE
BOOLEAN_Symbol
BaliseJS_debut
\x5bwhite\x5d
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\x5b\x2fwhite\x5d
Balise_debut
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FO_debut
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CODE47534071
BOOLEAN_Symbol
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BaliseJS_debut
\x5bbeta\x5d
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FO_debut
[inline]=β
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β
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\x26#946;
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CODE47534435
BOOLEAN_Symbol
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\x5balpha\x5d
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[inline]=α
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\x26#945;
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CODE47551722
BOOLEAN_Symbol
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CODE48535424
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\x5bLAMBDA\x5d
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CODE48535666
BOOLEAN_Symbol
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\x5blambda\x5d
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CODE47551793
BOOLEAN_Symbol
BaliseJS_debut
\x5bsup\x5d
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\x3csup\x3e
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CODE56031535
BOOLEAN_Symbol
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BaliseJS_debut
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CODE56073309
BOOLEAN_Symbol
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[inline]=π
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\x26#960;
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CODE56074095
BOOLEAN_Symbol
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\x5bDELTA\x5d
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[inline]=Δ
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CODE56074172
BOOLEAN_Symbol
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\x5bMU\x5d
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[inline]=Μ
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CODE56074264
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CODE56074328
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CODE56075056
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CODE56075186
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CODE56072935
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CODE56073842
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CODE68199232
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CODE68199285
BOOLEAN_Symbol
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CODE68199991
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CODE68200031
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CODE68200077
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CODE68200150
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CODE72092691
BOOLEAN_Symbol
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\x5beta\x5d
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[eta]
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[inline]=η
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CODE72092805
BOOLEAN_Symbol
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\x5bETA\x5d
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[inline]=Η
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BOOLEAN_Symbol
BaliseJS_debut
\x5bu\x5d
BaliseJS_fin
\x5b\x2fu\x5d
Balise_debut
[u]
Balise_fin
[/u]
FO_debut
text-decoration=underline
FO_fin
text-decoration=none
HTML_debut
<u>
HTML_fin
</u>
JS_debut
\x3cu\x3e
JS_fin
\x3c\x2fu\x3e
CODE72092388
BOOLEAN_Symbol
BaliseJS_debut
\x5bpsi\x5d
BaliseJS_fin
Balise_debut
[psi]
Balise_fin
FO_debut
[inline]=ψ
FO_fin
HTML_debut
ψ
HTML_fin
JS_debut
\x26#968;
JS_fin
CODE72092541
BOOLEAN_Symbol
BaliseJS_debut
\x5bPSI\x5d
BaliseJS_fin
Balise_debut
[PSI]
Balise_fin
FO_debut
[inline]=Ψ
FO_fin
HTML_debut
Ψ
HTML_fin
JS_debut
\x26#936;
JS_fin
CODE140502511
BOOLEAN_Symbol
1
BaliseJS_debut
\x5brho\x5d
BaliseJS_fin
Balise_debut
[rho]
Balise_fin
FO_debut
[inline]=ρ
FO_fin
HTML_debut
ρ
HTML_fin
JS_debut
\x26#961;
JS_fin
CODE140504636
BOOLEAN_Symbol
1
BaliseJS_debut
\x5bRHO\x5d
BaliseJS_fin
Balise_debut
[RHO]
Balise_fin
FO_debut
[inline]=Ρ
FO_fin
HTML_debut
Ρ
HTML_fin
JS_debut
\x26#929;
JS_fin
CODE148292791
BOOLEAN_Symbol
BaliseJS_debut
\x5bepsilon\x5d
BaliseJS_fin
Balise_debut
[epsilon]
Balise_fin
FO_debut
[inline]=ε
FO_fin
HTML_debut
ε
HTML_fin
JS_debut
\x26#949;
JS_fin
CODE169976220
BOOLEAN_Symbol
BaliseJS_debut
\x5blig\x5d
BaliseJS_fin
Balise_debut
[lig]
Balise_fin
FO_debut
[inline]=›  
FO_fin
HTML_debut
›  
HTML_fin
JS_debut
\x26#x203A;\x26#160;\x26#160;
JS_fin
CODE148292899
BOOLEAN_Symbol
BaliseJS_debut
\x5bEPSILON\x5d
BaliseJS_fin
Balise_debut
[EPSILON]
Balise_fin
FO_debut
[inline]=Ε
FO_fin
HTML_debut
Ε
HTML_fin
JS_debut
\x26#917;
JS_fin
BALISETXT_SAUT
BOOLEAN_Symbol
BaliseJS_debut
\x5bbr\x2f\x5d
BaliseJS_fin
Balise_debut
[br/]
Balise_fin
FO_debut
FO_fin
HTML_debut
<br/>
HTML_fin
JS_debut
\x3cbr\x2f\x3e
JS_fin