(New page: ==The Initial Value Theorem== If a signal <math>x(t) = 0, t < 0 </math>and x(0) is not an impulse or higher-order singularity, then :<math>x(0^+) = lim_{s->\infty} s*X(s)</math>, where ...) |
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Latest revision as of 19:23, 24 November 2008
The Initial Value Theorem
If a signal $ x(t) = 0, t < 0 $and x(0) is not an impulse or higher-order singularity, then
- $ x(0^+) = lim_{s->\infty} s*X(s) $, where X(s) denoted the laplace transformation of x(t)
The Final Value Theorem
If a signal x(t) = 0, t < 0 and $ lim_{t->\infty} x(t) $ exists, then
- $ lim_{t->\infty} x(t) = lim_{s->0} s*X(s) $, where X(s) denoted the laplace transformation of x(t)
