REALIZATION STRUCTURES OF IIR FILTERS
32.- Realize the first-order IIR digital filter:
using a direct-form I realization.
33.- Realize the following IIR digital filter using direct-form II:
34.- Given a fourth-order filter transfer function designed as
realize the IIR digital filter using the cascade form via second-order sections.
35.- Given a filter transfer function
a. realize the IIR digital filter using direct-form I and using direct-form II;
b. determine the difference equations for each implementation.
36.- Given a fourth-order filter transfer function,
a. realize the digital filter using the cascade (series) form via second-order sections using directform II;
b. determine the difference equations for implementation.
37.- Plot block diagram (IIIR filter direct form II) of the following system:
1
y  n   y  n  1  2 x  n   x  n  1
3
38.- Given a filter transfer function,
H  z 
1  z 1  z 2
1  0.75 z 1  0.125 z 2
a. realize the digital filter using the parallel form;
b. determine the difference equations for implementation.
39.- Consider the up sampler system below in Figure:
 
sen  n 
 3  , determine:
For the case where h  n  3
n
(a) The output Y  e j  .

 
(b) If x  n  cos( n)  0.5cos  n  , obtain y[n].
4
2 