The pole zero diagram of a digital filter is shown below, the pole is located at
z=0.5
. The filter has dc gain
=4
i.e.
H(z=1)=4
. a) Write the expression for
H(z)
b) What is the output of the filter if a
100Hz
sinusoid sampled at a frequency equals to
400Hz
is applied to the filter? c) Write the expression for the difference equation that implements the filter.

Question

The pole zero diagram of a digital filter is shown below, the pole is located at

z=0.5

. The filter has dc gain

=4

i.e.

H(z=1)=4

. a) Write the expression for

H(z)

b) What is the output of the filter if a

100Hz

sinusoid sampled at a frequency equals to

400Hz

is applied to the filter? c) Write the expression for the difference equation that implements the filter.

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(Solved): The pole zero diagram of a digital filter is shown below, the pole is located at z=0.5. The filter ...