Lectures:
Orthogonal discrete systems. Distributions and Delta-operator.
Systems of convolution equations. Deconvolution.
Discrete Laplace transform and two-side Laplace transform.
Discrete Fourier transform, FFT.
Inverse transforms and problems of the discrete inverse transforms. Regularization. Applications.
Windowed Fourier transforms. Applications.
Wavelet transforms. Discrete wavelet transform. Multiresolution. Analysis. Applications.
Exercises:
Preparing to computer exercises.
Projects:
Project and its presentation on the realization of a particular problem.
Computer labs:
Introduction to MATLAB.
Orthogonal discrete systems (Haar, Walsh, Rademacher etc.).
Numerical analysis of signals using discrete Fourier transform.
FFT algorithm and implementation.
Windowed Fourier transforms. Algorithm and implementation.
Discrete wavelet transform. Algorithm and implementation.
Applications of mentioned algorithms in technical problems.
Orthogonal discrete systems. Distributions and Delta-operator.
Systems of convolution equations. Deconvolution.
Discrete Laplace transform and two-side Laplace transform.
Discrete Fourier transform, FFT.
Inverse transforms and problems of the discrete inverse transforms. Regularization. Applications.
Windowed Fourier transforms. Applications.
Wavelet transforms. Discrete wavelet transform. Multiresolution. Analysis. Applications.
Exercises:
Preparing to computer exercises.
Projects:
Project and its presentation on the realization of a particular problem.
Computer labs:
Introduction to MATLAB.
Orthogonal discrete systems (Haar, Walsh, Rademacher etc.).
Numerical analysis of signals using discrete Fourier transform.
FFT algorithm and implementation.
Windowed Fourier transforms. Algorithm and implementation.
Discrete wavelet transform. Algorithm and implementation.
Applications of mentioned algorithms in technical problems.