Received Power Calculator Software

Received Power Formula:

\[ P_r = P_t \times G_t \times G_r \times \left(\frac{\lambda}{4 \pi d}\right)^2 \]

Transmitted Power (P_t):

Watts (W)

Transmitter Gain (G_t):

Receiver Gain (G_r):

Wavelength (λ):

meters (m)

Distance (d):

meters (m)

Received Power (P_r):

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1. What is a Received Power Calculator?

Definition: This calculator estimates the power received by an antenna based on transmitted power, antenna gains, wavelength, and distance.

Purpose: It helps radio engineers and communication professionals determine signal strength at a receiver.

2. How Does the Calculator Work?

The calculator uses the Friis transmission equation:

\[ P_r = P_t \times G_t \times G_r \times \left(\frac{\lambda}{4 \pi d}\right)^2 \]

Where:

\( P_r \) — Received power (Watts)
\( P_t \) — Transmitted power (Watts)
\( G_t \) — Transmitter antenna gain (dimensionless)
\( G_r \) — Receiver antenna gain (dimensionless)
\( \lambda \) — Wavelength (meters)
\( d \) — Distance between antennas (meters)

Explanation: The equation calculates power at the receiver accounting for free space path loss.

3. Importance of Received Power Calculation

Details: Accurate power estimation ensures proper communication system design, link budget analysis, and signal quality assessment.

4. Using the Calculator

Tips: Enter all parameters in consistent units. Antenna gains are typically in dB which must be converted to linear scale (10^(dB/10)).

5. Frequently Asked Questions (FAQ)

Q1: What are typical antenna gain values?
A: Isotropic antenna: 1 (0 dB), Dipole: ~1.64 (2.15 dB), Directional antennas: 10-100 (10-20 dB).

Q2: How do I calculate wavelength?
A: λ = c/f where c is speed of light (3×10⁸ m/s) and f is frequency in Hz.

Q3: Does this account for real-world losses?
A: No, this is free space path loss only. Additional losses (atmospheric, cable, etc.) must be considered separately.

Q4: What's the valid distance range?
A: The formula is valid for distances much greater than the wavelength (far-field region).

Q5: Can I use dBm for power values?
A: Convert dBm to Watts first (P(W) = 10^(P(dBm)/10)/1000).