Detailed syllabus:
- Multidimensional Signals and System [~4Hrs]
- M-D discrete sequences, separable sequences, finite-extent sequences, periodic sequences,
- M-D systems, linear shift invariant systems, separable systems, stable systems
- Fourier Analysis of Multidimensional Signals [~6Hrs]
- M-D Fourier series, discrete time Fourier transform, discrete Fourier transform, hypercomplex Fourier transform, M-D sampling, windowed Fourier transform
- Wavelet Analysis of Multidimensional Signals [~10Hrs]
- Abstract spaces, metric space, vector space, normed space, Banach space, inner product space, Hilbert space, Frames
- Multiresolution Analysis, scaling & wavelet functions, wavelet series, discrete wavelet transform, filter bank representation of discrete wavelet transform, time-frequency resolution, wavelet packets, M-D discrete wavelet transform
- Deep Learning for Multidimensional Signal Processing [~12Hrs]
- Random fields, least mean square estimation, multi-layer perceptron, convolutional neural network, adversarial learning
- Example MDSP of 2D and 3D signals [~4Hrs]
- Image compression, Image colorization, translation & decomposition, 3D object recognition & segmentation
- Signal Processing on Graphs [~2Hrs]
- From M-D to graphs, shifts in graph signal processing, frequency representation for graph signals
Reference Books:
- Multidimensional Digital Signal Processing by D. Dudgeon, R. Mersereau and R. Merser.
- Multidimensional Signal, Image, and Video Processing and Coding by John W. Woods
- Digital Image Processing by Anil K. Jain
- Digital Image Processing by Rafael C. Gonzalez and Richard E. Woods
- Wavelet Transforms: Introduction to Theory and Applications by Raghuveer M. Rao and Ajit S. Bopardikar
- Frames and Bases: An Introductory Course by Ole Christensen
- Neural Networks by Simon S. Haykin
- Introductory Functional Analysis with Applications by Erwin Kreyszig
- Research papers on Deep Learning and Graph Signal Processing (will be notified during lectures)
Evaluation:
Class Component- 40% (fixed by Institute) [Class Tests 10%, Term Project (Individual) 30%]
Mid-semester Examination- 20% (fixed by Institute)
End-semester Examination- 40% (fixed by Institute)
Term Project Timeline:
Tentative Project Title Submission: January 24, 2020.
Project Title Acceptance: January 27, 2020.
Finalized Title + Interim Report Submission: March 06, 2020.
Final Report Submission: May 01, 2020.
Class Timings:
Monday: 12.00 noon – 12.55 pm (Lectures)
Tuesday: 10.00 am – 11.55 am (Lectures)
Thursday : 08.00 am – 08.55 am (Demos/Tests/Discussions/Occasionally Lectures)
Lecture Materials:
Will be provided through usebackpack.com and piazza.com