Question

A monostatic radar system is one where the transmitter and the receiver are at the same location. Such a system observes a resonant λ/2 dipole antenna with an echo area of 0.64λ 2 for a particular angle of observation (θ=90 ∘ ). The distance of the dipole from the transmitting antenna is 100 m, and the gain of the transmitting antenna is 20 dB at 3GHz, which is also the frequency of operation. Assume a polarization loss factor of −3 dB. Find the received power (in W) if the transmitted power is 2π 3 W(∼62 W).

Answer 1

In a monostatic radar system, the received power can be calculated by converting the transmitted power to W, calculating the effective isotropic radiated power (EIRP), applying the polarization loss factor, and dividing the EIRP by the echo area. In this case, the received power is approximately 9726.6 W.

Step-by-step explanation:

A monostatic radar system is one where the transmitter and the receiver are at the same location.

Given the information provided, we can calculate the received power (in W) using the following steps:

1. Convert the transmitted power to W: 2π/3 W ≈ 62 W
2. Calculate the effective isotropic radiated power (EIRP) by adding the gain of the transmitting antenna and the transmitted power: EIRP = 62 W + 20 dB = 62 W * 10(20/10) = 62 W * 100 = 6200 W
3. Apply the polarization loss factor: EIRP with polarization loss = 6200 W * 10(-3/10) = 6200 W * 0.501 = 3106.2 W
4. Calculate the received power by dividing the EIRP with polarization loss by the echo area: Received power = 3106.2 W / 0.64λ2 = 3106.2 W / 0.64 * 0.52 = 9726.6 W

Therefore, the received power is approximately 9726.6 W.