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Building Blocks

The questions below are due on Sunday March 03, 2019; 11:00:00 PM.
 
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Consider systems specified by the following difference equations:

  • System A: y[n] = x[n] + k_1 y[n-1] + k_2 y[n-2]
  • System B: y[n] = x[n] - k_1 y[n-1] + k_2 y[n-2]

For each of the block diagrams below, determine whether the system represented by the diagram is equivalent to the system represented by one of the difference equations above (in terms of input/output relationship, when started at rest).

1) System 1

To which difference equation from above, if any, is this system equivalent?

2) System 2

To which difference equation from above, if any, is this system equivalent?

3) System 3

To which difference equation from above, if any, is this system equivalent?

4) System 4

To which difference equation from above, if any, is this system equivalent?

5) System 5

To which difference equation from above, if any, is this system equivalent?