Remote Sensing Application Land Cover Change Detection
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Hydrologic system is said to be a linear system if the relationship between storage, inflow, and outflow is such that it leads to a linear differential equation.
The hydrologic response of such systems can be expressed in terms of an impulse response function through a so-called Convolution Equation. Linear systems
possess the properties of additively and proportionality, which are implicit in the convolution equation Ramírez, 2000.
The impulse response function of a linear system represents the response of the system to an instantaneous impulse of unit volume applied at the origin in
time t=0. The response of continuous linear systems can be expressed, in the time domain, in terms of the impulse response function via the convolution
integral as follows,
= − ,
ℎ = 0 0 … … … … … … … … … … . 5
Where ut represents the instantaneous unit hydrograph, and Qt and Iet represent direct runoff and excess or effective precipitation, respectively.
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III. METHODOLOGY