TA: Serhii Zhak, zhak@mit.edu
Prerequisites:
18.06; and 6.341 or 6.450
Overview: Hilbert space formulation of continuous-time and discrete-time
signals. Sampling.
Orthogonal and biorthogonal signal
expansions. Uncertainty
principles and the time-frequency plane.
Two-channel filter banks, iterated filter banks, and discrete wavelet transforms. Multiresolution analysis. Wavelet
bases, regularity, approximation properties, and nonlinear approximation. Basics of quantization and
source coding. Compression, denoising, and other image
processing using wavelets. Advanced topics from the current
research literature.