Radar SNR vs. Range for Different Target RCS Values

📝 Description

This script calculates and plots the Signal-to-Noise Ratio (SNR) of a radar return as a function of range for different target Radar Cross Section (RCS) values.
The main components taken into account in this simulation include:

• Transmitter power
• Antenna gains
• Wavelength of the radar signals
• Duration of pulse (to)
• System losses and noise
• Distance (Range) to the target
• Target's radar cross-section (σ)

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🔹 File

• File: radar_snr_vs_range.sce
• Language: Scilab
• Environment: SciLab 6.x

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🟣 Main Calculations

The radar SNR as a function of range ( r ) is defined by:

$$ SNR(r) = \frac{ P_t \cdot G_t \cdot G_r \cdot \lambda^2 \cdot \sigma \cdot \ tau }{ (4\pi)^3 \cdot k \cdot T_s \cdot F \cdot L \cdot r^4 } $$

Where:

	Meaning
( P_t )	Transmitter power
( G_t ), ( G_r )	Transmitter and receiver antenna gains
( \lambda )	Wavelength
( \sigma )	Target radar cross-section
( T )	Integrator or pulse duration
( k )	Boltzmann's constant
( T_s )	System temperature
( F )	Noise figure
( L )	Loss
( R )	Distance to target

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🟣 Values Used in this Script:

	Values
Transmitter Power ( P_t )	20 kW
Antenna Gain ( G_t ), ( G_r )	39 dB
Operations Freq ( f )	3.2GHz
Wavelength ( \lambda )	( c / f )
Pulse Duration ( \ tau )	3ms
System Loss ( L )	6.5 dB
Noise Figure ( F )	3 dB
RCS Values ( \sigma )	-25, -15, -10 dBsm
Distance ( r )	1km to 40km
Number of points	500

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🟣 Plot:

Running this script produces a plot of SNR (in dB) vs. Distance (in km) for the 3 different RCS values.
Different colors (blue, red, green) represent different RCS.

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📊Graph

Here's the Graph for this project:

🟣 How to Run:

1. Open Scilab 6.x.
2. Open this script (radar_snr_vs_range.sce) in Scilab.
3. Run the script by clicking Execute File or simply typing:

exec('radar_snr_vs_range.sce');