Signals and Systems

The book contains: 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. Trigonometric & Exponential concept of discrete spectrum. Definition Computation and properties of Fourier Transform for different types of signals. Statement and proof of sampling theorem of low-pass signals. Linear system impulse response Response of a linear system linear time-invariant (LTI) system linear time variant (LTV) system Transfer function of an 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.