Signals and Systems: Unit II: Analysis of Continuous Time Signals,,
Initial Value Theorem and Final Value Theorem
Explanation about Initial Value Theorem and Final Value Theorem
INITIAL
VALUE THEOREM AND FINAL VALUE THEOREM
Initial value theorem
If 
then
initial value of x(t) is written as
Proof:
Differentiation property
of Laplace transform is
Take limit δ → ∞ of the
above equation
L.H.S of (2) can be
written as
Substitute (3) in (2)
Final Value theorem
Proof:
Differentiation
property of Laplace transform is given as,
L.H.S of (2) can be
written as
Let us substitute (3)
in (2)
Hence proved.
Signals and Systems: Unit II: Analysis of Continuous Time Signals,, : Tag: : - Initial Value Theorem and Final Value Theorem
Related Topics
Related Subjects
Signals and Systems
EC3354 - 3rd Semester - ECE Dept - 2021 Regulation | 3rd Semester ECE Dept 2021 Regulation