Question

Problem 7.1 A real-valued signal xx(????????) is known to be uniquely determined by its samples when the sampling frequency is ????????????????=10,000????????. For what values of ω is ????????(???????????? ) guaranteed to be zero? Please note that frequency can be positive and negative

Answer 1

IωI > 5000π rad/s

Step-by-step explanation:

Step 1

The value of ω at which X(jω) is assumed to be zero is given by,

IωI > ω_M

where ω_M is the maximum frequency of the original signal.

Assume that the sampling frequency we equals the Nyquist rate ω_N

Step 2

Then the value of ω is given by,

IωI > ω_M

> ω_s/2

> 10000π/2

> 5000π

thus,

IωI > 5000π rad/s