Alex Miua wrote:
So I have started reading Discrete Time Signal Processing by Oppenheim
/ Schafer / Buck.
Chapter 4/ Page 168 says : -
Which edition are you using? I have the second edition and this is on
page 142 :) I'm assuming your copy is a new edition.
x_s(t)=x_c(t)s(t)
=x_c(t) Sigma ( from n = -inf to inf ) [ delta (t-nT) ]
Through the sifting property of the impulse function , x_s(t) can be
expressed as :
x_s(t) = Sigma (from - inf to inf ) [ x_c(nT) delta ( t-nT) ]
Now this version of the sifting property is for the DISCRETE impulse
function NOT the continuous Dirac delta function, but just before the
discussion starts it says that delta(t) is the unit impulse function
or the Dirac delta function. Is this a typo ? Shouled this have been
the discrete delta function? If it is'nt, how do the above steps hold?
Thank you,
Alex.
They are still representing all of this in the time domain. The sampling
function is a continuous time signal as is x_c(t) as it x_s(t) where the
discrete time representation is x_s[n] = x_s(nT).
I don't see this as a typo, and I don't see how this changes anything.
Tom
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