TRANSPOSED STRUCTURE REALIZATION:
THEORY:
It is practically true that if we reverse the direction of all the branch transmittances and
interchange the input and the output in the structure or signal flow graph, the system remains
unchanged. The transposed structure or transpose form or reverse structure is obtained by
reversing the direction of all branch transmittances and interchanging the input and output in
the direct form structure.
The transposed structure remains valid, provided:
1. The branch transmittances are untouched.
2. The direction of all the branches in the structure is reversed.
3. The roles of the input and output are reversed.
By these steps, the system function remains unchanged.
procedure to realizse transposed form structure of IIR:
1. First realize the given difference equation or transfer function by using the directform structure.2. Reverse or transpose the direction of signal flow and interchange the input and output nodes.
3. Replace the junction points by adders and adders by junction points.
4. Fold the structure, which is the transposed form realization of an IIR system.
> In general, the transposed structure realization of an IIR system is advantageous only if
it is implemented over a direct form-II structure, because the number of components used or
the number of additions and multiplications get reduced when it is used over a direct form-II
structure. However, the higher the order of the systems, the better would be its advantages. It
has no advantage for a direct form-I structure.
TRANSFER FUNCTION H(Z):
d1: |
|
d2: |
|
d3: |
|
p0: |
|
p1: | |
p2: |
|
p3: |
REALIZATION OUTPUT:
