Bandwidth of Angle Modulated Signals, Calculator

Bandwidth of Angle Modulated Signals

Estimate bandwidth, B_99%, for FM or PM signal required to transmit 99% of the power using Carson's rule.

Fill out the fields, you can use SI suffixes in your numbers e.g. 10k would be 10 kilo. Capitalization matters, as 1m would be 1 milli and 1M would be 1 mega. Finally, press the "FM Bandwidth" or "PM Bandwidth" button to get the answer.

Select unit format:

Amplitude of baseband signal, A_x:

Frequency of baseband signal, f_x (or ω_x):

Maximum frequency deviation, Δf_x (or Δω_x):

Modulation index,β:

FM Bandwidth_99%=

PM Bandwidth_99%=

Calculations are based on the following formulas:

FM: B_99%= 2(Δf_maxA_x+f_x),
PM: B_99%= 2f_x(β A_x+1).

Remember the relationship between the angular and ordinary frequency: W_99%[rad/s] = 2π[rad] · B_99%[Hz].