Gray code: Difference between revisions

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In modern [[digital communications]], 1D- and 2D-Gray codes play an important role in error prevention before applying an [[error correction]]. For example, in a [[digital modulation]] scheme such as [[quadrature amplitude modulation|QAM]] where data is typically transmitted in [[symbol rate|symbols]] of 4 bits or more, the signal's [[constellation diagram]] is arranged so that the bit patterns conveyed by adjacent constellation points differ by only '''one''' bit. By combining this with [[forward error correction]] capable of correcting single-bit errors, it is possible for a [[Receiver (radio)|receiver]] to correct any transmission errors that cause a constellation point to deviate into the area of an adjacent point. This makes the transmission system less susceptible to [[noise]].
<gallery heights="120" mode="packed" style="text-align:left">
QPSK Gray Coded.svg|Codes 4-PSK
8PSK Gray Coded.svg|Codes 8-PSK
16QAM Gray Coded.svg|Codes 16-QAM
</gallery>
 
=== Communication between clock domains ===