B.TECH 3RD SEMESTER(ELECTRONICS AND COMMUNICATION ENGINEERING)

           

                                                           SIGNALS AND SYSTEM


Unit 1



Energy signal









Energy of continuous time signal









Power signal








Power of continuous time signal








Energy and power in discrete time signal .








Unit impulse signal








Properties of impulse signal








Unit step signal








Relation b/w unit step and impulse signal








Ramp signal








exponential signal










Linear and non-linear system









Causal and non-causal syatem









Stable and unstable system








Linear time invarient system








Introduction of convolusion opration








Solved problem on convolusion opration








prperties of LTI system








Diffrencial equation 








Diffrence equation





Unit 2





Fourier transform representation of periodic signal










Fourier transform representation of periodic signal trignometric and exonential series








Properties of continuous time fourier series








Discrete time fourier series 








Discrete time fourier series  properties








Continuous time filtering








Discrete time filtering






Unit 3





Defination of fourier transform










Inverse of fourier series








Fourier series transform pair








convolusion theorem of fourier transform








convolusion and multiplication theorem of fourier transform








Discrete time 
fourier transform








Properties of DTFT








Differential equation in fourier transform






Unit 4





Laplas transform










Properties of laplas transform








Analysis of LTI system








solusion of differencial eqaution in laplas transform








Laplas zeros and poles








Z- transform








Region of convergence of z- transform








Inversion of z-transform








Properties of z-transform








differencial equation of z-transform








system function zeros and ples and stability of z-transform






Unit 5








Discrete fourier transform













properties of discrete fourier transform








Relationship between discrete fourier transform ,Z and laplace transform









convolusion of sequences






Circular convolusion theorem








overlap add methods of convolusion







overlap save methods of 
convolusion




Sampling





Uniform sampling








Sampling theorem








Aliasing
h












decimation








Interpolation







Unit 6







Representation of signal using orthonormal basic function










Power and energy spectral density










correlation fuction of power and energy spectral density








Pre-envelope










Complex envelope








band pass signal










band pass system




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