Energy says very little about peak magnitude, but both are important considerations.
Generalized Energy: Norms (Energy is a norm with p=2), Integral is normal of absolute value, Infinite Norm returns the maximum value or the essential supremum.
Power is the norm per unit of time. Watts are Joules per second.
Unit Pulse
Unit Step
Delta Function
A sifting function (good for taking one time value out of the signal)
Signal Decomposition
Using a delta function to break things down.
Delta of T
Continuous time delta function: Presents challenges because we aren’t able to have something the integrates over all time to 1.
What are generalized functions.
CT
Phase Pfrequency (Phase is a frequency dependent time delay).
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