SIGNALS AND SYSTEMS

Book contain Concept OF INTRODUCTION TO SIGNALS & SYSTEMS:  Definition and classification of Signal and Systems (Continuous time and Discrete-time) Elementary signals such as Dirac delta unit step ramp sinusoidal and exponential and operations on signals. Analogy between vectors and signals Orthogonality Mean Square error FOURIER SERIES: Trigonometric & Exponential concept of discrete spectrum. FOURIER TRANSFORM: CONTINUOUS TIME FOURIER TRANSFORM: Definition Computation and properties of Fourier Transform for different types of signals. Statement and proof of sampling theorem of low-pass signals.  DISCRETE TIME FOURIER TRANSFORM: Definition Computation and properties of Fourier Transform for different types of signals. SIGNAL TRANSMISSION THROUGH LINEAR SYSTEMS: Linear system impulse response Response of a linear system linear time-invariant (LTI) system linear time variant (LTV) system Transfer function of a LTI system. Filter characteristics of linear systems. Distortion less transmission through a system Signal bandwidth system bandwidth Ideal LPF HPF and BPF characteristics Causality and Poly-Wiener criterion for physical realization Relationship between bandwidth and rise time. Energy and Power Spectral Densities.