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Sun 12 Sep, 2004 07:38 pm
I need to find the fundamental period of the following equation for my homework...but I don't know what "Ev{ }" means! The Ev are written in cursive.
x(t) = Ev{cos(4PiT)u(t)}
The only thing that comes to mind is expected value. Is u(t) a probability function and cos(4PiT) a payout function?
expected value does not make any sense because functions have an exact value
this is an arbitrary equation that has no practical meaning
u(t) = unit step function: { 0, t<1; 1, t>1 }
the other thing that comes to mind is electron volts, but that doesn't fit either
http://mathworld.wolfram.com/EvenPart.html
I've...got it??? Or not??
This seems like it would only make sense for a discrete signal (which would be x[t] not x(t))
since Ev{n} is only defined for positive integers..
Ev{0} = 1, so I am thinking this function would evaluate to:
t < 0, 1
t integer >= 0, 1
t is multiple of 1/4Pi, 1
elsewhere, undefined