Recitation 17
Convolution
After studying this chapter, you should be able to:
switch between the functional for a system (or the system function) and the signal representation;
sketch the convolutio
Recitation 14
Bode plots
After studying this chapter, you should be able to:
sketch a Bode plot given a system function H(s);
deduce a system function from a Bode plot.
Here is the magnitude sketch
Recitation 18
Fourier series and ltering
After studying this chapter, you should be able to:
explain the analogy between Fourier coefcients and coordinates in a vector space;
nd the Fourier coefcien
Recitation 20
Fourier series as rotations
After studying this chapter, you should be able to:
explain how converting to and from the Fourier representation is a rotation;
deduce properties of Fourie
Recitation 9
Image processing using operators
The goals of this chapter are:
to analyze spatial signals using functionals (or operators);
to look in slow motion at how to invert blurring operations;
Recitation 19
Fourier transform
After studying this chapter, you should be able to:
derive the analysis and synthesis equations for Fourier transforms from their counterparts for relations for Fourie
Recitation 22
Sampling and reconstruction
After studying this chapter, you should be able to:
reconstruct bandlimited signals from their samples, if the samples are frequent enough;
and
explain the
Recitation 23
Interpolation as reconstruction
After studying this chapter, you should be able to:
explain bandlimited, piece constant, and piecewise linear reconstruction using either the
time or fre
Recitation 21
A tour of Fourier representations
After studying this chapter, you should be able to:
explain the connection between Fourier series and transforms in terms of sampling the
frequency rep
Pattern Recognition
and Machine Learning
Summary Week 13
Lecturer: Matthias Seeger
Assistants: Nikolaos Arvanitopoulos, Young Jun Ko, Carlos Stein, Friedemann Zenke
Tuesday
Fishers linear discriminan
Recitation 16
Multiple representations of resonance
After studying this chapter, you should be able to:
Find Q given a system function, and write a system function with a given Q;
Find Q given the p
Recitation 15
Feedback and control
After studying this chapter, you should be able to:
sketch Bode plots for complicated systems by making plots for simpler subsystems and
combining these plots; and
Recitation 13
Eigenfunctions and frequency response
After studying this chapter, you should be able to:
nd the system function H(s) for a system characterized by a second-order linear,
constant-coefc
Recitation 6
The perfect (sine) wave
The goals of this chapter are:
to analyze several methods for discretizing a continuous-time system; and
to illustrate complex poles and the signicance of the un
Recitation 2
Difference equations and modularity
The goals of this chapter are:
to illustrate modularity and to describe systems in a modular way;
to translate problems from their representation as
Recitation 3
Block diagrams and operators:
Two new representations
The goals of this chapter are:
to introduce two representations for discrete-time systems: block diagrams and operators;
to introdu