help! how do I formulate this sampling system and analyze it?

Hi all,

This system consists of an DAC, a processor, and a ADC. The flow graph
is like as follows:

input-digital-signal -> DAC -> filter(Continuous Time) -> ADC ->
output-digital-sigal

The problem is that the DAC is a zero order hold, and the ADC is more
strange:

the ADC samples the continuous time waveform by integrate the input
signal in a period T, then put that integral result as the sample at
that time index.

As an example, the ADC integrates the input signal from (n-0.5)T to
(n+0.5)T, and then use the integration result as the output sample
y[n], which is in discrete time.

Now I need to formulate this system in DSP, and analyze the result, to
see how much does it deviate from a second system(given the same input,
how much does the output deviate, can they be made to be exactly the
same output???), which is as follows:

input-digital-signal -> filter(Discrete Time) -> output-digital-sigal

----------------------------

My headache is that the presence of non-traditional ADC/DAC complicated
the matters...

Can anybody help me?

Thanks a lot!

.

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