Consider the coherent ground-based pulsed radar that operates at a carrier frequency of 10 GHz, a PRF of 5 kHz, a duty cycle of 5%, and transmits LFM pulses with 100 MHz bandwidth. Plot the range domain of the signal received from a target at a distance of 10 km from the radar before and after matched filtering (pulse or range compression).

As an AI text-based model, I'm unable to create plots or visual graphics. However, I can guide you through the steps to create the plots you need.

Before we start, let's understand the terms:

1. Carrier frequency: The frequency of the unmodulated signal in a radio transmission.
2. PRF (Pulse Repetition Frequency): The number of pulses that occur in one second.
3. Duty cycle: The fraction of one period in which a signal is active.
4. LFM (Linear Frequency Modulation): A type of frequency modulation where the frequency of the signal changes linearly over time.
5. Bandwidth: The range of frequencies over which the radar operates.

Now, let's proceed with the steps:

1. Calculate the pulse width (PW) using the duty cycle and PRF. The duty cycle is the ratio of the pulse width to the pulse period (1/PRF). So, PW = Duty Cycle / PRF = 0.05 / 5000 = 10 microseconds.

2. The range of the radar signal before matched filtering can be calculated using the speed of light (c = 310^8 m/s) and the pulse width. The range resolution is cPW/2 = 3*10^8 * 10^-5 / 2 = 1500 m. So, the range domain before matched filtering is from 10 km - 1500 m to 10 km + 1500 m.

3. After matched filtering, the range resolution improves to c / (2Bandwidth). So, the new range resolution is 310^8 / (210010^6) = 1.5 m. Therefore, the range domain after matched filtering is from 10 km - 1.5 m to 10 km + 1.5 m.

To plot these, you would create two plots with the range on the x-axis and the amplitude of the radar signal on the y-axis. The first plot would show a wide peak centered at 10 km with a width of 3000 m, and the second plot would show a narrow peak also centered at 10 km but with a width of only 3 m.