Frequency Sensitivity Calculator

Frequency Sensitivity Formula:

\[ K_f = \frac{\Delta f}{A_{m(peak)}} \]

Frequency Sensitivity (K_f):

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1. What is Frequency Sensitivity?

Frequency Sensitivity is the dependence of the critical amplitude of the signal upon its frequency and a resonance between the intrinsic oscillations of a neuron and the signal. In FM (Frequency Modulation), it represents how much the carrier frequency deviates for a given amplitude of the modulating signal.

2. How Does the Calculator Work?

The calculator uses the Frequency Sensitivity formula:

\[ K_f = \frac{\Delta f}{A_{m(peak)}} \]

Where:

\( K_f \) — Frequency Sensitivity (Hertz/Volt)
\( \Delta f \) — Frequency Deviation (Hertz)
\( A_{m(peak)} \) — Peak Amplitude of Message (Volt)

Explanation: The formula calculates how sensitive the frequency modulation is to changes in the message signal's amplitude. A higher value indicates greater frequency deviation for a given input amplitude.

3. Importance of Frequency Sensitivity Calculation

Details: Accurate frequency sensitivity calculation is crucial for designing and analyzing frequency modulation systems, ensuring proper signal transmission, and maintaining signal quality in communication systems.

4. Using the Calculator

Tips: Enter frequency deviation in Hertz and peak amplitude of message in Volts. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the unit of Frequency Sensitivity?
A: Frequency Sensitivity is measured in Hertz per Volt (Hz/V), indicating how many Hertz the carrier frequency deviates for each Volt of modulating signal amplitude.

Q2: How does Frequency Sensitivity affect FM signal quality?
A: Higher frequency sensitivity results in greater frequency deviation, which can improve signal-to-noise ratio but may also increase bandwidth requirements.

Q3: What is typical Frequency Sensitivity range in practical FM systems?
A: Typical values range from a few kHz/V to several MHz/V, depending on the specific application and system design requirements.

Q4: Can Frequency Sensitivity be negative?
A: No, Frequency Sensitivity is always a positive value since both frequency deviation and peak amplitude are positive quantities.

Q5: How is Frequency Sensitivity related to modulation index?
A: Modulation index (β) in FM is equal to Frequency Sensitivity multiplied by the amplitude of the modulating signal, divided by the modulating frequency (β = K_f·A_m/f_m).