# Frequency Density Calculator, Formula, Frequency Density Calculation

## Frequency Density Calculator:

Enter the values of frequency, F and class width, CW to determine the value of Frequency density, FD.

 Enter Frequency: Occurences Enter Class width: Second Result – Frequency Density: Occurences Per Second

## Frequency Density Formula:

Frequency density – the concentration of signal power within a specific frequency range.

Original signal frequency – the number of cycles the signal completes per second. A higher frequency signal (more cycles per second) will generally have a lower density (FD) if its bandwidth (CW) remains the same. Think of spreading the same amount of “signal” over a wider frequency range.

Class width – the range of frequencies the signal occupies. Imagine it as the width of the “lane” the signal takes on the frequency spectrum. A narrower class width (CW) concentrates the signal’s power (F) into a smaller frequency range, resulting in a higher density (FD). Imagine squeezing the same amount of “signal” into a tighter space.Frequency density, FD in occurences per second is calculated by dividing the frequency, F in occurences by class width, CW in seconds.

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Frequency density, FD = F / CW

FD = frequency density in occurences per second.

F = frequency in occurences.

CW = class width in seconds.

### Frequency Density Calculation:

1. A dataset has a frequency of 30 occurrences within a class width of 5 units. What is the frequency density?

Given: F = 30, CW = 5.

Frequency density, FD = F / CW

FD = 30 / 5

FD = 6occurences per second.

1. A dataset has a frequency density of 4 and a class width of 2 units. What is the frequency?

Given: FD = 4, CW = 2.

Frequency density, FD = F / CW

F = FD * CW

F = 4 * 2

F = 8occurences.