In-phase and quadrature components

Graphic example of the formula  

The phase modulation (φ(t), not shown) is a non-linearly increasing function from 0 to π/2 over the interval 0 < t < 16. The two amplitude-modulated components are known as the in-phase component (I, thin blue, decreasing) and the quadrature component (Q, thin red, increasing).

A sinusoid with modulation can be decomposed into, or synthesized from, two amplitude-modulated sinusoids that are in quadrature phase, i.e., with a phase offset of one-quarter cycle (90 degrees or π/2 radians). All three sinusoids have the same center frequency. The two amplitude-modulated sinusoids are known as the in-phase (I) and quadrature (Q) components, which describes their relationships with the amplitude- and phase-modulated carrier.[A][2]

Or in other words, it is possible to create an arbitrarily phase-shifted sine wave, by mixing together two sine waves that are 90° out of phase in different proportions.

The implication is that the modulations in some signal can be treated separately from the carrier wave of the signal. This has extensive use in many radio and signal processing applications.[3] I/Q data is used to represent the modulations of some carrier, independent of that carrier's frequency.

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  2. ^ Cite error: The named reference Gast was invoked but never defined (see the help page).
  3. ^ Cite error: The named reference ITU was invoked but never defined (see the help page).


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