- Departments / Centres
Contact Hours and Credits: (3 -0- 0) 3
The aim of the course is for:
Vector spaces. Inner Product spaces. Schwartz inequality. Hilbert spaces. Orthogonal expansions. Bessel’s inequality and Parseval’s relations.
Continuous-time signals, classifications. Periodic signals. Fourier series representation. Hilbert transform and its properties.
Laplace transforms. Continuous - time systems: LTI system analysis using Laplace and Fourier transforms.
Sampling and reconstruction of band limited signals. Low pass and band pass sampling theorems. Aliasing. Anti-aliasing filter. Practical Sampling-aperture effect.
Discrete-time signals and systems. Z-transform and its properties. Analysis of LSI systems using Z - transform.
Students will be able to
A.V. Oppenheim et al, Signals and Systems (2/e), Pearson 200.
S.Haykin and B. VanVeen “Signals and Systems, Wiley, 1998.
M. Mandal and A. Asif, “Continuous and Discrete Time Signals and Systems, Cambridge, 2007.
D.C. Lay, Linear Algebra and its Applications (2/e), Pearson, 200.
K. Huffman & R. Kunz, Linear Algebra, Prentice- Hall, 1971.
S.S. Soliman & M.D. Srinath, Continuous and Discrete Signals and Systems, Prentice- Hall, 1990.