We denote the unit-impulse-response function, with zero ICs, as h(t), and we abbreviate this important function in text as IRF 1 . Substituting Equation ??? into Equation \(\ref{eqn...We denote the unit-impulse-response function, with zero ICs, as h(t), and we abbreviate this important function in text as IRF 1 . Substituting Equation ??? into Equation ??? gives However, Equation ??? can be proved with the theory of generalized functions (Lighthill, 1958), and it can also be demonstrated plausibility with the use of limiting processes on functions other than the flat impulse of Section 8.3 (e.g., homework Problem 8.6).
