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Frequency Bandwidth Calculator

Compute bandwidth (BW) from two band-edge frequencies, center frequency, fractional bandwidth, Q factor, and bandwidth in octaves — plus a two-way solver. All calculations run in your browser.

Scope: this tool computes bandwidth from two band-edge frequencies (fL and fH). For frequency unit conversion, period, wavelength, angular frequency, and Nyquist rate, use Frequency Converter.

Bandwidth from fL and fH

Verified examples

WiFi 20 MHz channel: fL = 2412 MHz, fH = 2432 MHz → BW = 20 MHz, fc = 2422 MHz, fractional BW = 0.8258%, Q = 121.1, width = 0.01191 octaves.
FM band 88–108 MHz: fL = 88 MHz, fH = 108 MHz → BW = 20 MHz, fc = 98 MHz, fractional BW = 20.4082%, Q = 4.9, width = 0.29546 octaves.
Narrow filter Q = 100 at fc = 1 MHz → BW = 10 kHz (fL = 995 kHz, fH = 1005 kHz).

Frequently asked questions

What is frequency bandwidth?

Frequency bandwidth is the difference between the upper band-edge frequency (f_H) and the lower band-edge frequency (f_L): BW = f_H − f_L. It expresses the width of the frequency band occupied by a signal or passed by a filter.

How do you compute the Q factor?

Q factor = f_c / BW, where f_c = (f_H + f_L) / 2 is the center frequency. Example WiFi 20 MHz channel: f_c = 2422 MHz so Q = 2422 / 20 = 121.1. High Q means a narrow, selective band.

What is fractional bandwidth?

Fractional bandwidth = BW / f_c, the bandwidth relative to the center frequency, usually in percent. Example FM band 88–108 MHz: BW = 20 MHz, f_c = 98 MHz, so fractional BW = 20 / 98 = 20.4082%.

How are Q factor and fractional bandwidth related?

They are reciprocals: Q = 1 / fractional BW. Fractional BW 20.4082% (0.204082) means Q = 1 / 0.204082 = 4.9.

What is bandwidth in octaves?

Bandwidth in octaves = log2(f_H / f_L). One octave means f_H = 2 × f_L. Example WiFi 20 MHz channel (2412–2432 MHz) is only 0.01191 octaves wide.

How do you find f_H given BW and f_L?

Use f_H = f_L + BW. Example: f_L = 2412 MHz and BW = 20 MHz give f_H = 2432 MHz.

How does this tool differ from Frequency Converter?

This tool computes bandwidth, Q factor, fractional bandwidth, and octaves from two band-edge frequencies. Frequency Converter handles frequency unit conversion, period, wavelength, angular frequency, and Nyquist rate.

What is the bandwidth of a WiFi 20 MHz channel?

A WiFi 20 MHz channel (e.g. 2412–2432 MHz) has BW = 20 MHz, center frequency f_c = 2422 MHz, fractional BW = 0.8258%, Q = 121.1, and 0.01191 octaves wide.

See also: Frequency Converter — frequency unit conversion, period, wavelength, and Nyquist.

Free tool by NRTechStudio