, 
, and 
. Set 
and verify that you get a gain of 
. Set 
and verify that
you get a gain of 1 there.
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Perform the bilinear transform defined above and calculate the
coefficients of a first-order digital low shelf filter. Find the
pole and zero as a function of
,
, and
. Set
and verify that you get a gain of
. Set
and verify that
you get a gain of 1 there.
