continuous averaging using VHDL

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An alternative is to use an 'infinite response filter' instead of a true average. This gives more weight to recent data, but is easier to calculate since it doesn't require all the old values be stored.

Basically calculate 'new_irf = old_irf * 31/32 + sample'.

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you are using an integrator of equation:

y(n) = 31/32*y(n-1) + x(n);

This has a different response from running average filter and is not functionally equivalent.

The post is focused on running average.

If it is ok then why not just use: y(n) = y(n-1) + x(n)

i.e. just an accumulator:

sum <= sum + data_in;