Modulation/demodulation scheme for high speed modem using matrix and inverse-matrix

In this paper, matrix and inverse matrix are used in modulation and demodulation operation, together with the latest high performance DA and AD converters to realize high speed modem. To implement this concept, carrier frequencies are decided from the fact that inverse matrix must exist, and over-sampling is applied for the adjustment of magnitude and phase to get reliability, and new type of duplexer is adopted for short frame time. By this concept, the transmission speed becomes high, with the increase of the density and the performance of the semi-conductor.