Question

Consider the continuous-time (analog) signal xₐ(t) = 200|t|e⁻ᵃ|ᵗ|, where a = -44.6287.

Sketch xₐ(t) for the range given by 0 ≤ |t| ≤ 200 msec.

Answer 1

To sketch the given continuous-time signal xₐ(t) = 200|t|e⁻ᵃ|ᵗ| for the range 0 ≤ |t| ≤ 200 msec, substitute values of t from 0 to 0.2 seconds into the equation and plot the values on a graph.

Step-by-step explanation:

The given continuous-time signal is xₐ(t) = 200|t|e⁻ᵃ|ᵗ|, where a = -44.6287.

To sketch xₐ(t) for the given range, we need to substitute values of t from 0 to 0.2 seconds in the expression. Taking the absolute value of t in the equation helps us handle both positive and negative values of t. We then multiply the magnitude of t by the exponential function to get the value of xₐ(t) for each point of t. Plotting these values on a graph will give the sketch of xₐ(t) for the given range.