Question

Compute the Energy of the Following Pulse Like Radar Signal given by y(t)=5e⁻∣²⁰⁰ᵗ∣cos(2π/T t)[U(t+10T)−U(t−10T)] If T=1 ms. If this signal were then transmitted every 50 ms, calculate the average power. Note that ∣∣∣ is the magnitude.

Answer 1

To compute the energy of the given pulse-like radar signal and calculate the average power, we use the formula E = ∫[y(t)]^2 dt and divide the energy by the time period over which the signal is transmitted.

Step-by-step explanation:

To compute the energy of the given pulse-like radar signal, we need to integrate the square of the signal over one period. The signal is given by y(t) = 5e^(-200|t|)cos(2π/T t)[U(t+10T)−U(t−10T)]. If T = 1 ms, we can calculate the energy using the formula E = ∫[y(t)]^2 dt, where the integral is taken over one period.

To calculate the average power, we need to divide the energy by the time period over which the signal is transmitted. In this case, the signal is transmitted every 50 ms. So we can divide the energy by 50 ms to obtain the average power.