Hello all,

I am trying to understand sampling from the following:

Suppose the channel impulse response is given by:

and the transmitted signal is:

where {s_k} are the transmitted symbols and g(t) is a rectangular pulse of duratuion Ts the sample time. The received signal can by written as:

where w(t) is the additive noise. We can sample the above received signal at t=nTs resulting in:

.... (1)

which is obvious. Now suppose I want to take another approach, say to find the optimum receiver from the received signal v(t) as:

.... (2)

which must be the same as multiplying (1) by conj(h). Does this mean that the integration in (2) is effectively sampling, which means that:


Thanks in advance