39 hod., optionally

Characterization and classification of discrete signals. Operations with signals: filtering, generating complex signals, modulation and demodulation, time and frequency multiplex, etc. Examples of typical signals (speech, seismic signals, ECG and EEG signals, modulated signals, etc.)
Characterization and classification of discrete systems. Compressors and expanders, limiters and equalizers, frequency and time filters, noise reduction, musical effects, tone selection, echo suppression, etc.
FFT-based spectral analysis. Relation between DFT and bank of filters. Windowing in spectral analysis. Calculation of spectrum at a point and on a curve in z-plane. Chirp z-transform algorithm. Spectrograms and moving spectra. Goertzel algorithm.
Discrete Hilbert transform. Analytical signal. Minimum phase condition. Calculation of instantaneous frequency. Representation of limited-band signals.
Power spectral density and its estimation. Consistent estimation. Calculation based on correlation. Periodogram. Non-parametric methods. Bartlet and Welch methods.
Linear prediction analysis. Representation of stationary random process using rational fraction function. Autoregression processes, moving average. Direct and reverse linear prediction. Examples of applications in mobile networks.
Parametric methods for calculating power spectral density. Type AR model (Yule-Walker method). Spectrum estimation with maximum entropy (Burg method). Type ARMA models and estimation of their parameters.
Adaptive filtering. Type LMS and RLS algorithms and their modifications. Adaptive block filters. Application examples (adaptive echo suppression in ADSL transmission, equalization in mobile network, etc.). .
Digital signal processing via sampling frequency change. Decimation and interpolation. Design of multirate digital filters.
Transversal and polyphase filters. Two-channel and multi-channel quadrature mirror filters (QMF).
Filter banks with perfect reconstruction. Half-band filters. Para-unitary filter banks. SBC filter banks. Octave filter banks and wavelets.
Wavelet transform. Signal analysis with multiple resolution. Discrete wavelet transform. Orthogonal and biorthogonal filter banks.
Compression of audio-signals in telecommunications. PCM bit data flow and its reduction. Masking and perceptional coding. Filter banks of compression methods. Type MPEG audio standards.