CE837 Time Frequency Analysis

Course Name: 

CE837 Time Frequency Analysis

Programme: 

M.Tech (CE)

Category: 

Elective (Ele)

Credits (L-T-P): 

(3 - 0 - 0) 3

Content: 

The need for Time - frequency analysis: introduction, simple analytic Examples, why spectra changes. Time and Frequency Description of Signals: duration and mean time in terms of the spectrum, bandwidth equations and AM and FM contributions to the bandwidth. Instantaneous Frequency and the Complex Signal: reasons for the complex signal, the analytic signal, physical interpretation of the analytic signal and density of instantane ous frequency. Densities and Characteristic functions: one and two dimensional density functions and their characteristic functions, relation between local and global averages. Fundamentals of Time - Frequency Distribution (TFD): Uncertainty principle and pr operties of TFD. Different Types of TFD: Short Time Fourier Transform, Wigner distribution, generalized TFD and prosperities of these distributions. Generation of TFD Using Kernal Methods. Kernel design for reduced interference in TFD. Positive Distributio ns Satisfying the Marginals. Applications of TFD in the fields of Radar, Speech, Sonar Signal Processing

References: 

Leon Cohen, Time-Frequency Analysis, Prentice-Hall PTR, Upper Saddle River, 1995.
S. Mallat, A wavelet tour of signal processing - The sparse way, Elsevier, Third Edition, 2009
D. Gabor, “Theory of communication”, Proceedings of IEE, pp. 429-457, 1946
 

Contact us

Dr. U. Shripathi Acharya,  Professor and Head, 
Department of E&C, NITK, Surathkal
P. O. Srinivasnagar,
Mangalore - 575 025 Karnataka, India.

  • Hot line: +91-0824-2473046

Connect with us

We're on Social Networks. Follow us & get in touch.