Biologically inspired amorphous communications

We propose a new type of secure communication systems, called amorphous communication systems, in which the message is embedded in the statistics of the random pulse waveforms. We further apply the principle of statistical matched filters to construct an optimal receiver. We show how the system works and then analyze its performance based on density evolution and Gaussian approximation. We also compare it with BPSK and DBPSK signals with random spreading waveforms and present numerical results. The amorphous system shall support large M-ary communications. When M changes from 2 to 20, the performance is slightly degraded (less than 1 dB)