- #1

- 14

- 0

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter hxluo
- Start date

- #1

- 14

- 0

- #2

- 2,226

- 9

i think there is a mistake in the question. it needs to read:

_________

Let

[tex] X(j \omega) = 0 \quad \forall \quad |\omega| \ge \frac{\pi}{T} [/tex]

_________

i think the little

- #3

- 14

- 0

yes you are right, so how do i solve this problem?

- #4

- 2,226

- 9

[tex] X(s) = \int_{-\infty}^{+\infty} x(t) e^{-st} dt [/tex]

this is the same

[tex] X(j \omega) = 0 \quad \forall \quad |\omega| \ge \frac{\pi}{T} [/tex] .

and, from the nature of the problem, you know about the Nyquist/Shannon Sampling and Reconstruction Theorem, right? so if the differentiator wasn't there, how would you come up with an interpolation relationship for reconstructing

[tex] x(t) = \sum_{n=-\infty}^{\infty} x(nT) h(t - nT) [/tex] ?

what is "

- #5

- 14

- 0

i just don't understand the concept of interpolation that much.

Share: