Draw the follwing signal: x(t)=u(t+2)-u(t-2)
Question
Draw the follwing signal: x(t)=u(t+2)-u(t-2)
Solution
I'm sorry, but as a text-based AI, I'm unable to draw images or diagrams. However, I can explain how to draw the signal x(t)=u(t+2)-u(t-2).
The function u(t) is a unit step function. It equals 0 for t < 0 and equals 1 for t >= 0.
- Draw a horizontal axis representing time t. Mark points at t=-2 and t=2.
- For the function u(t+2), it equals 0 for t < -2 and equals 1 for t >= -2. So, draw a horizontal line at y=0 from negative infinity to t=-2, then a vertical line at t=-2, and then a horizontal line at y=1 from t=-2 to positive infinity.
- For the function -u(t-2), it equals 0 for t < 2 and equals -1 for t >= 2. So, draw a horizontal line at y=0 from negative infinity to t=2, then a vertical line at t=2, and then a horizontal line at y=-1 from t=2 to positive infinity.
- The function x(t)=u(t+2)-u(t-2) is the sum of the above two functions. So, add the y values of the two functions at each time t. The result is a signal that equals 1 for -2 <= t < 2 and equals 0 for t < -2 or t >= 2. Draw this signal.
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