Transmitted Frequency Calculator

Formula Used:

\[ \text{Transmitted Frequency} = \frac{\text{Doppler Frequency} \times c}{2 \times \text{Radial Velocity}} \]

Transmitted Frequency:

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1. What is Transmitted Frequency?

Transmitted Frequency is the frequency at which the radar system generates and transmits its radar pulses into the environment. It is a fundamental parameter in radar systems that determines various operational characteristics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Transmitted Frequency} = \frac{\text{Doppler Frequency} \times c}{2 \times \text{Radial Velocity}} \]

Where:

\( c \) — Light speed in vacuum (299792458 m/s)
Doppler Frequency — Frequency shift due to relative motion (Hertz)
Radial Velocity — Rate of change of distance between object and point (m/s)

Explanation: This formula calculates the original transmitted frequency based on the observed Doppler shift and the relative velocity between the source and observer.

3. Importance of Transmitted Frequency Calculation

Details: Accurate transmitted frequency calculation is crucial for radar system design, signal processing, target detection, and velocity measurement in various applications including aviation, meteorology, and military systems.

4. Using the Calculator

Tips: Enter Doppler Frequency in Hertz and Radial Velocity in meters per second. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between transmitted frequency and Doppler frequency?
A: Doppler frequency is the difference between received and transmitted frequencies caused by relative motion between source and observer.

Q2: Why is light speed used in this calculation?
A: For electromagnetic waves like radar signals, the speed of light is used as the wave propagation speed in the Doppler effect calculation.

Q3: What are typical values for transmitted frequency in radar systems?
A: Radar systems operate across a wide frequency spectrum, from HF (3-30 MHz) to millimeter waves (30-300 GHz), depending on the application.

Q4: How does radial velocity affect the transmitted frequency calculation?
A: Higher radial velocities result in larger Doppler shifts, which inversely affect the calculated transmitted frequency for a given observed Doppler frequency.

Q5: Are there limitations to this formula?
A: This formula assumes ideal conditions and may need adjustments for relativistic effects at very high velocities or in different media.