Krzysztof Brzostowski

English Polski
Data Stream Processing
Introduction to Data Streams

Definition of data streams | Classification: natural/artificial, deterministic/random | Types of noise: white, pink, Poisson | Sources of interference

Open resource
Frequency Analysis of Signals

Fourier Transform | Amplitude and phase spectrum | Allan variance | Applications in signal diagnostics

Open resource
Sampling Theory

Nyquist-Shannon Sampling Theorem | Aliasing and anti-aliasing filters | Quantization: linear/non-linear | Sampling errors

Open resource
Introduction to Data Streams

Definition of data streams | Classification: natural/artificial, deterministic/random | Types of noise: white, pink, Poisson | Sources of interference

Open resource
Frequency Analysis of Signals

Fourier Transform | Amplitude and phase spectrum | Allan variance | Applications in signal diagnostics

Open resource
Sampling Theory

Nyquist-Shannon Sampling Theorem | Aliasing and anti-aliasing filters | Quantization: linear/non-linear | Sampling errors

Open resource
Compressed Sensing

Sparsity and low coherence conditions | Signal reconstruction | Applications in MRI and IoT | LASSO algorithms

Open resource
Signal Analysis in Frequency Domain

FFT and transform properties | Hilbert analytic signal | Envelope and instantaneous phase | Applications in ECG/EEG

Open resource
Wavelet Transform

Wavelets: Haar, Daubechies, Morlet | DWT and multiresolution decomposition | JPEG2000 compression | Signal denoising

Open resource
Time-Frequency Analysis

STFT vs wavelet transform | Heisenberg uncertainty principle | Adaptive wavelets | Analysis of non-stationary signals

Open resource
EMD and Hilbert-Huang Transform

Decomposition into IMF components | Instantaneous frequency analysis | Applications in biomedical signals

Open resource
Data Stream Modeling

Dimensionality reduction methods | Real-time signal processing | Change tracking algorithms

Open resource
Denoising Techniques

Filters: Kalman, Wiener, median | SNR/PSNR metrics | Transform-based denoising methods

Open resource
Detection and Segmentation

CUSUM and Shewhart algorithms | Data clustering | Anomaly detection | ECG/EEG signal segmentation

Open resource
Practical Applications

Medical image processing | Seismic signal analysis | Embedded systems | Data stream processing in IoT

Open resource
Dynamic Systems Modeling
Modern Applications of Medical Informatics
Image Informatics and Telemedicine