Generalization of a Techinque for Binary Data Communication

A technique for binary data transmission is described, in which each binary symbol is chosen to be a prescribed superposition of <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</tex> impulses of form <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">(sin 2\piFt)/2\piFt</tex> , spaced at intervals 1/2F. Such superposition leads to more than two received levels with binary input, but in return permits realization of the Nyquist rate (2F symbols/s in bandwidth <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">F</tex> ). Appropriate choice of the superposition coefficients provides a variety of spectral distributions to suit individual applications. The most interesting classes of system functions are defined, the associated coding procedures are described, and the performance characteristics are summarized.