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Collection Contents
Multirate Signal Processing
Fundamentals of Multirate Signal Processing
Upsampling
Downsampling
Interpolation
Application of Interpolation - Oversampling in CD Players
Decimation
Resampling with Rational Factor
Digital Filter Design for Interpolation and Decimation
Noble Identities
Polyphase Interpolation
Polyphase Decimation Filter
Computational Savings of Polyphase Interpolation/Decimation
A Group-Delay Interpretation of Polyphase Filters
Polyphase Resampling with a Rational Factor
Computational Savings of Polyphase Resampling
CD to DAT Conversion
Polyphase Resampling with Arbitrary (Non-Rational or Time-Varying) Rate
Multi-stage Interpolation and Decimation
Filterbanks
Why Filterbanks?
Sub-Band Processing
Uniform Filterbanks
Classical Filterbanks
Uniform Modulated Filterbank
Uniformally Modulated (DFT) Filterbank
Computational Savings of Polyphase/DFT Filterbanks
Drawbacks of Classical Filterbank Designs
Modern Filterbanks
Aliasing-Cancellation Conditions of Filterbanks
Two-Branch Quadvalue Mirror Filterbank (QMF)
Perfect Reconstruction QMF
Johnston's QMF Banks
Perfect Reconstruction FIR Filter Banks
Orthogonal Perfect Reconstruction FIR Filterbank
Design of Orthogonal PR-FIR Filterbanks via Halfband Spectral Factorization
Bi-Orthogonal Perfect Reconstruction FIR Filterbanks
Filterbanks with >2 Branches
Wavelets
Time Frequency Analysis and Continuous Wavelet Transform
Why Transforms?
Limitations of Fourier Analysis
Time-Frequency Uncertainty Principle
Short-time Fourier Transform
Continuous Wavelet Transform
Hilbert Space Theory
Hilbert Space Theory
Vector Space
Normed Vector Space
Inner Product Space
Hilbert Spaces
Discrete Wavelet Transform
Discrete Wavelet Transform: Main Concepts
The Haar System as an Example of DWT
A Hierarchy of Detail in the Haar System
Haar Approximation at the kth Coarseness Level
The Scaling Equation
The Wavelet Scaling Equation
Conditions on h[n] and g[n]
Values of g[n] and h[n] for the Haar System
Wavelets: A Countable Orthonormal Basis for the Space of Square-Integrable Functions
Filterbanks Interpretation of the Discrete Wavelet Transform
Initialization of the Wavelet Transform
Regularity Conditions, Compact Support, and Daubechies' Wavelets
Computing the Scaling Function: The Cascade Algorithm
Finite-Length Sequences and the DWT Matrix
DWT Implementation using FFTs
DWT Applications - Choice of phi(t)
DWT Application - De-noising
Digital Signal Processing (Ohio State EE700)
Collection type:
Course
Course by:
Phil Schniter
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Summary:
Instructor:
Phil Schniter
Institution:
Ohio State University
Course Number:
EE 700
This collection contains:
Modules
by:
Phil Schniter