# Networks and Systems – EE2002

**Title :** Networks and Systems

**Course No :** EE2002

**Credits :**

**Prerequisite :**

**Syllabus :**

**Introduction to Signals and Systems:**Basic continuous-time signals—basic discrete-time signals—similarities and differences—transformation of the independent variable—properties of systems—linear time-invariant systems—convolution—impulse response.**Systems Represented by LCCDE:**Linear constant coefficient differential equations and their solutions—complementary function and particular integral—zero-input response and zero-state response.**Continuous-Time Fourier Series:**Exponential Fourier series—computing the series coefficients—the Fourier spectrum—amplitude and phase spectra—effect of symmetry—convergence—properties of Fourier series.**Continuous-Time Fourier Transform:**From Fourier series to the Fourier transform—the Fourier integral and its inversion—conditions for the existence of the Fourier transform—transforms of some useful functions—properties of the Fourier transform—Fourier transform of periodic signals—frequency response of systems with rational transfer function.**Laplace Transform:**Definition—region of convergence and its properties—Laplace transform properties—inverse Laplace transform through the method of partial fraction expansion—unilateral Laplace transform—application of the unilateral Laplace transform for solving RLC circuits with initial conditions—system response to a suddenly applied input.**State Variable Analysis:**Introduction to the notion of ‘state’—systematic procedure for determining state equations—solution of state equations using Laplace transform—definition of exp(**A**) where**A**is a matrix—time domain solution of state equations.

**Text Books :**

**Signal Processing and Linear Systems**by B.P. Lathi, second international edition, 2009, Oxford University Press.

**References :**

**Signals and Systems**by A.V. Oppenheim and A.S. Willsky, second edition, 1996, Prentice Hall, Upper Saddle River, NJ.