Motivation - pros and cons of using DSP compared to the analog signal processing.
DFT, relation between DFT and Fourier series. DCT as a special case of DFT. Filter and filtration in the frequency domain.
Cross correlation, autocorrelation and convolution - meaning, relations with DFT, filtration in the time domain.
Sampling theorem, aliasing, leakage. Reconstruction of the analog signal using the ideal low pass filter. Spectrum of the sampled signal.
Linear filtration - linearity, causality, time invariance, stability. Realisation structures.
IIR filters - design, realisation structures, comparison with analog filters.
FIR filters - design, realisation structures, comparison with IIR filters.
A/D and D/A conversion. Quantisation, floating point representation. Problems in DSP systems related to quantisation.
Adaptive filtration, systems with variable sampling frequency.
Intruductive discrete wavelet transform, it's use in technical applications.
Introductive speech and audio signal processing.
Introductive multidimensional signal processing.
Project
Fourier series approximation, Fourier transform
DFT, relation between DFT and Fourier series. DCT as a special case of DFT. Filter and filtration in the frequency domain.
Cross correlation, autocorrelation and convolution - meaning, relations with DFT, filtration in the time domain.
Sampling theorem, aliasing, leakage. Reconstruction of the analog signal using the ideal low pass filter. Spectrum of the sampled signal.
Linear filtration - linearity, causality, time invariance, stability. Realisation structures.
IIR filters - design, realisation structures, comparison with analog filters.
FIR filters - design, realisation structures, comparison with IIR filters.
A/D and D/A conversion. Quantisation, floating point representation. Problems in DSP systems related to quantisation.
Adaptive filtration, systems with variable sampling frequency.
Intruductive discrete wavelet transform, it's use in technical applications.
Introductive speech and audio signal processing.
Introductive multidimensional signal processing.
Project
Fourier series approximation, Fourier transform