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General info
Bachelor program
Master program
Study material
Mathematical background
Basics of continuous-time signals and systems
Discrete-time signal processing basics
Statistical signal processing
Optimal and adaptive signal processing (to be added)
Sensor array and multichannel signal processing (to be added)
Machine learning (to be added)
Information and communication theory (to be added)
Courses
5ESE0 - Signal processing basics
5CTA0 - Statistical signal processing
Contact
Discrete-time signal processing basics: overview
Basics of sampling and reconstruction
Sampling of sinusoidal signals
Reconstruction of sinusoidal signals [⯈]
Examples [⯈]
Discrete-time signals
Sampling process
Elementary signals
Signal duration
Periodicity
Symmetry
Signal manipulations
Discrete-time systems
System properties
System visualization
Impulse response [⯈]
Convolution [⯈]
Cascading systems
Special convolutions [⯈]
Transforms I: Fourier transform for discrete-time signals
From FTC to FTD
FTD examples [⯈]
FTD properties [⯈]
Transforms II: Discrete Fourier transform
From FTC to DFT
The DFT [⯈]
DFT properties [⯈]
Convolution implementation
Length of DFT [⯈]
DFT for continuous signals
Transforms IV: Z-transform
Z-transform
Z-transform properties [⯈]
Inverse Z-transform [⯈]
Analysis I: Frequency response FIR
Frequency response FIR
Frequency response FIR properties [⯈]
Analysis II: Frequency response LTI
LTI systems
Frequency response LTI
Interconnecting systems
Special cases
Analysis III: System function
System function rational LTI
Stability and causality
Poles and zeros
Frequency response from system function
Sampling, reconstruction and multirate signal processing
Mathematical description sampling process [⯈]
Basic building blocks of multirate signal processing [⯈]
Filter structures I: Finite impulse response (FIR) filter
Difference equation [⯈]
Convolution sum [⯈]
Linear time invariant (LTI) [⯈]
Filter structures II: General filter structures
Structures of non-recursive systems
Structures of recursive systems
Transposition theorem
Special structures [⯈]
Finite word length effects
Binary representation of numbers
Quantization and overflow
Analysis of round-off noise
Quantization of filter coefficients
Influence filter structure
Filter design
Overview filter design
FIR filter design [⯈]
IIR filter design [⯈]
Examples