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FM redirects here, for alternate uses, see Fm
Frequency modulation (FM) is the encoding of information in either analog or digital form into a carrier wave by variation of its instantaneous frequency in accordance with an input signal. This is typically accomplished using radio waves. The most typical use is radio broadcasting.

Frequency modulation requires a wider bandwidth than amplitude modulation by an equivalent modulating signal, but this also makes the signal more robust against interference. Frequency modulation is also more robust against simple signal amplitude fading phenomena. As a result, FM was chosen as the modulation standard for high frequency, high fidelity radio transmission: hence the term "FM radio" (although for many years the BBC insisted on calling it "VHF radio").

An FM signal can also be used to carry a stereo signal: see FM stereo. However, this is done by using multiplexing and demultiplexing before and after the FM process, and is not part of FM proper. The rest of this article ignores the stereo multiplexing and demultiplexing processed used in "stereo FM", and concentrates on the FM modulation and demodulation process, which is identical in stereo and mono processes.

Before the New York section of the Institute of Radio Engineers on November 6, 1935, Edwin Armstrong presented his paper "A Method of Reducing Disturbances in Radio Signaling by a System of Frequency Modulation" which first described FM radio.

## Technology

The harmonic distribution of a simple sine wave signal modulated by another sine wave signal can be represented with Bessel functions - this provides a basis for a mathematical understanding of frequency modulation in the frequency domain.

A rule of thumb, Carson's rule states that nearly all the power of a frequency modulated signal lies within a bandwidth of

where Δf is the peak instantaneous deviation of the carrier from the centre frequency and fm is the highest modulating frequency.

Note that frequency modulation can be regarded as a special case of phase modulation where the carrier phase modulation is the time integral of the FM modulating signal.

Frequency shift keying refers to the simple case of frequency modulation by a simple signal with only two states, such as in Morse code or radio-teletype applications.

Manchester coding may be regarded as a simple version of frequency shift keying, where the high and low frequencies are respectively double and the same as the bit rate, and the bit transitions are synchrounous with carrier transitions.

When used in supervisory signaling in telephony, the term frequency-change signaling has been used to describe frequency modulation.

The phrase frequency-modulated, an adjective, should have a hyphen.