A theory of multilevel information channel with Gaussian noise

The interval between the "0" level and "1" level of a binary channel with Gaussian noise is subdivided to provide levels per symbol. The channel capacity is computed as a function of and of the signal-noise ratio of the original binary channel. For a sufficiently large, fixed value of , if we increase indefinitely, the channel capacity approaches the logarithm of , as can be expected from continuous channel. For a fixed value of , if we increase indefinitely, the channel capacity approaches . For a given value of , there is a certain value of , beyond which the channel capacity does not appreciably increase any longer by increasing . The problem is first solved by a simplifying model, and then the error introduced by this simplification is estimated.