Descrete matematichs and linear algebra
On completion of the course students should:
- decribe signal in the time and frequency domain.
- be able to use Matlab in simulation and analyses.
- be able to make noise measurements.
- understand fundamental image processing.
- have a good knowledge of digital signal processing.
- understand DSP application: CD, DVD, GSM.
Linear time invariant systems. Causality. The unit impuls respons. Convolution.Fourier series. Fourier Transform. Spectrogram. Sampling and digitization of signals. Quantization noise. Discrete Fourier Transform. The Fast Fourier Transform. Spectral analysis. Sound and noise. Noise measurement. Analog filter. Introduction to image processing based on filtering and histogram manipulation. Dicrete Cosinus Transform. Z-Transform. Transfer function. Difference equation. Frequency respons.Correlation. Synthesis of digital filter, FIR and IIR. Multirate systems. Linear Predictive Coding. The principal of modern speech coding. Speech coding in GSM.
Lectures, with extensive laboratory work.
3 hour written examination, part 1.
3 hour written examination, part 2.
