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.