Transform Techniques Detailed Syllabus for Systems and Signal Processing M.Tech first year first sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.
The detailed syllabus for Transform Techniques M.Tech 2017-2018 (R17) first year first sem is as follows.
M.Tech. I Year I Sem.
UNIT -I : Fourier analysis: Vector space, Hilbert spaces, Fourier basis, FT- Limitations of Fourier Analysis, Need for time-frequency analysis, DFT, 2D-DFT: Definition, Properties and Applications, IDFT, Hilbert Transform, STFT.
UNIT -II : Transforms: Walsh, Hadamard, Haar and Slant Transforms, DCT, DST, KLT,– definition, properties and applications
UNIT -III : Continuous Wavelet Transform (CWT): Short comings of STFT, Need for wavelets, Wavelet Basis Concept of Scale and its relation with frequency, Continuous time wavelet Transform Equation- Series Expansion using Wavelets- CWT- Tiling of time scale plane for CWT. Important Wavelets: Haar, Mexican Hat, Meyer, Shannon, Daubechies.
UNIT -IV : Multi Rate Analysis and DWT: Need for Scaling function – Multi Resolution Analysis, Two-Channel Filter Banks, Perfect Reconstruction Condition, Relationship between Filter Banks and Wavelet Basis, DWT, Structure of DWT Filter Banks, Daubechies Wavelet Function, Applications of DWT.
UNIT -V : Special Topics: Wavelet Packet Transform, Multidimensional Wavelets, Bi-orthogonal basis- BSplines, Lifting Scheme of Wavelet Generation, Multi Wavelets
TEXT BOOKS:
- Raghuveer M. Rao and Ajit S. Bopardikar, “Wavelet Transforms-Introduction theory and applications”, Pearson Education, Asia, New Delhi, 2003.
- Soman. K. P, Ramachandran. K.I, “Insight into Wavelets from Theory to practice”, Prentice Hall India, First Edition, 2004.
REFERENCE BOOKS:
- Jaideva C Goswami, Andrew K Chan, “Fundamentals of Wavelets- Theory, Algorithms and Applications”, John Wiley & Sons, Inc, Singapore, 1999.
- Vetterli M. Kovacevic, “Wavelets and sub-band coding”, PJI, 1995.
- C. Sydney Burrus, “Introduction to Wavelets and Wavelet Transforms”, PHI, 1st Edition, 1997.
- Stephen G. Mallat,. “A Wavelet Tour of Signal Processing”, Academic Press, 2nd Edition
- S. Jayaraman, S. Esakkirajan, T.Veera Kumar, “Digital Image Processing”, TMH,2009
For all other M.Tech 1st Year 1st Sem syllabus go to JNTUH M.Tech Systems and Signal Processing 1st Year 1st Sem Course Structure for (R17) Batch.
All details and yearly new syllabus will be updated here time to time. Subscribe, like us on facebook and follow us on google plus for all updates.
Do share with friends and in case of questions please feel free drop a comment.