Frequency Density Calculator:
Enter the values of frequency, F and class width, CW to determine the value of Frequency density, FD.
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.
Frequency density, FD = F / CW
FD = frequency density in occurences per second.
F = frequency in occurences.
CW = class width in seconds.
Frequency Density Calculation:
- 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.
- 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.