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EE-933 Time Frequency Analysis
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Campus
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MCS
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Programs
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PG
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Session
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Spring Semester 2017
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Course Title
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Time Frequency Analysis
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Course Code
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EE-933
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Credit Hours
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3+0
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Pre-Requisutes
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Signals and System, Laplace Transform, Fourier series, Fourier Transform, matrix algebra
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Course Objectives
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To familiarize the students with the basic principles of digital signal processing and the signal analysis tools in time and frequency domains.
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Detail Content
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Review of Linear spaces, Hilbert spaces, Banach Spaces, Projection theorem, Parseval’s theorem, Review of Transform Analysis, Fourier analysis and Z-Transform
Gabor Transform, spectrogram Time and Frequency Joint Perspective and ideal behavior The Uncertainty Principle and Time frequency bandwidth Product Wavelet Transform in General Time Frequency Plane & its Tilings Proof that a non-zero function cannot be both time and band-limited Haar Wavelet and Multire solution Analysis Frequency domain analysis of Haar Multirate Digital Signal Processing Filter Bank Analysis, Synthesis and Perfect Reconstruction Mallat Algorithm Daubechies Family of MRA Reconstruction & Admissibility The Theorem of Multiresolution Analysis JPEG 2000 5/3 Filter Bank& Spline MRA Orthogonal Multiresolution Analysis with Splines Building Piecewise Linear Scaling Function, Wavelet The Wavelet Packet Transform The Lifting Structure & Polyphase Matrices/ approach Modulation Analysis and Filter Bank, Applications Vanishing moments and regularity Geometric Wavelets. Wavelet Applications; Singularity detection, de-noising, embedded coding, shrinkage and sparse representation of images and videos.
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Text/Ref Books
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- S. Mallat, “A wavelet Tour of Signal Processing,” Academic press, 2nd Edition.
- G. Strang and T. Q. Nguyen, “wavelets and filter banks,” Wellesley-cambridge Press, revised Edition, 1988.
- L. Cohen, “Time Frequency Analysis,” Prentice Hall, 1995.
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Time Schedule
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Spring Semester 2015
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Faculty/Resource Person
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Dr. Imran Touqir, PhD
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