Signals and System

Overview Formal definition of 'signal' and 'system'. The domain and range variables, continuous and discrete signals and cont. and discrete systems. Cont./discrete vs analog/digital. Domain and range operations and transformaations, and their effects upon signals. Characterization of systems: memory, linearity, causality, time-invariance, stability. Examples and counterexamples - Linear and time invariant systems. The Dirac impulse as a limit of a sequence of cont. fns. Mathematical difficulties with handling Dirac impulsers: brief, adequate discussion. Representation of cont. signals using impulses. Kronecker impulses and representation of discrete signals using Kronecker impulses.