Question

Plot x[n]=u[n]−u[n−5] where u[n] is the unit-step function

Answer 1

The plot of x[n]=u[n]−u[n−5] would be 1 for 0 <= n < 5 and 0 for n >= 5.

Step-by-step explanation:

The given function is x[n]=u[n]−u[n−5] where u[n] is the unit-step function. The unit-step function u[n] is defined as follows:

u[n] = 1 for n >= 0

u[n] = 0 for n < 0

Let's plot the given function step by step:

1. For n < 0, x[n] = 0 as both u[0] and u[n-5] are 0.
2. For 0 <= n < 5, x[n] = 1 - 0 = 1 as u[n] = 1 and u[n-5] = 0.
3. For n >= 5, x[n] = 1 - 1 = 0 as both u[n] and u[n-5] are 1.

The plot of x[n]=u[n]−u[n−5] would be:

1 | -■■■■■

0 |■■■■■-----

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