Lectures
You can download all of the lecture notes here. Please email me if you find any mistakes.
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Course introduction and signal-processing review
[notes]
Topics:
- LTI systems
- DTFTs
- z-transforms
- linear-phase systems
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Fundamentals of DSP
[notes]
Topics:
- all-pass systems
- minimum-phase systems
- maximum-phase systems
- multirate system example
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Fundamentals of multirate systems
[notes]
Topics:
- upsampling and interpolation
- antialiasing and downsampling
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Fundamentals of multirate systems
[notes]
Topics:
- antialiasing and downsampling
- Noble identities
- polyphase representations
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Fundamentals of multirate systems
[notes]
Topics:
- polyphase representations
- two-channel filter banks
- perfect-reconstruction conditions
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Two-channel filter banks
[notes]
Topics:
- general design procedure
- factorizations of the product filter
- popular examples of wavelet filters
- polyphase representations of filter banks
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Two-channel filter banks
[notes]
Topics:
- polyphase representations of filter banks
- orthogonal filter banks
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Fundamentals of wavelets
[notes]
Topics:
- generalized sampling
- multiresolution analysis
- Haar wavelet basis
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Fundamentals of wavelets
[notes]
Topics:
- multiresolution analysis
- filters from wavelets
- general wavelet analysis pipeline
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Fundamentals of wavelets
[notes]
Topics:
- general wavelet analysis pipeline
- wavelets from filters
- fundamental theorem of wavelet analysis
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Why wavelets?
[notes]
Topics:
- fundamental theorem of wavelet analysis
- wavelets and perfect-reconstruction filter banks
- time-frequency tilings
- vanishing moments
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Why wavelets?
[notes]
Topics:
- time-frequency tilings and the uncertainty principle
- decay of Fourier vs. wavelet coefficients
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