It is proved that, when binary strings are Gray coded into multilevel signals, to cause an error of bits, the multilevel signal must have an error of more than . This generalizes the well-known result that a one-level error in the signal generates only a one-bit error in the binary string.
Keywords :
Gray codes; Additive noise; Communication systems; Data communication; Digital communication; Digital recording; Filters; Gaussian noise; Intersymbol interference; Notice of Violation; Reflective binary codes;