The two dimensional Mazo limit

Abstract

Faster than Nyquist (FTN) signaling is extended. We send FTN pulse trains that overlap in both time and frequency; this is called two dimensional Mazo signaling. The minimum time and frequency separation that achieves d <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">min</sub> <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> = 2 for root raised cosine pulses is found. Two dimensional signaling is more bandwidth efficient than one dimensional. A simple decoder is tested and it verifies the distance results