  In this paper, a diffusion-based molecular communication channel between two
nano-machines is considered. The effect of the amount of memory on performance
is characterized, and a simple memory-limited decoder is proposed and its
performance is shown to be close to that of the best possible imaginable
decoder (without any restriction on the computational complexity or its
functional form), using Genie-aided upper bounds. This effect is specialized
for the case of Molecular Concentration Shift Keying; it is shown that a
four-bits memory achieved nearly the same performance as infinite memory. Then
a general class of threshold decoders is considered and shown not to be optimal
for Poisson channel with memory, unless SNR is higher than a value specified in
the paper. Another contribution is to show that receiver sampling at a rate
higher than the transmission rate, i.e., a multi-read system, can significantly
improve the performance. The associated decision rule for this system is shown
to be a weighted sum of the samples during each symbol interval. The
performance of the system is analyzed using the saddle point approximation. The
best performance gains are achieved for an oversampling factor of three.
