We present a novel modulation method for digital communication systems. The method uses orthogonal and/or non-orthogonal analytic functions as symbols. It is shown that, in the case of orthogonal functions, to transmit M bits using one symbol, the new receiver needs to search over only M functions as opposed to 2 symbols. A numerical method for generating the analytic symbols, called Constrained Gram Schmidt method, is presented. Experimental results demonstrating the proof of concept of the approach are also discussed.