Notes by a friend for Signals II (DSP Fundamentals) - 5ESC0
- Topics: Laplace Transform
Definition:
Generalization of Fourier Analysis (friend) - 5ESC0
Properties:
- Discrete counterpart: Z-Transform (friend) - 5ESC0
- Relation to Fourier Analysis (friend) - 5ESC0:
Proof
Unilateral (
f(t) = 0 for t < 0
Radius of convergence (ROC):
- x(t) finite duration: entire s-plane
- x(t) right-sided: right-sided
- x(t) left-sided: left-sided