ECE 535 DIGITAL SIGNAL PROCESSING


Problem Set 6

Spring 2001

Issued: Wednesday, March 14, 2001            Due: Tuesday, March 20, 2001


Reading in Oppenheim and Schafer

    
Week of 3/13/01 --- Chapter 6, Sections 6.0-6.5
    See Sections 6.6-6.9 for more about quantization errors
Week of 3/20/01 --- Chapter 8


Problem 6.1
Oppenheim and Schafer, problem 6.25
Note that there is small typo in the upper section of the parallel flowgraph. In that section (the one with coefficients 3/8, -7/8, -1/2), all of the delay branch arrows should point downwards.


Problem 6.2
The signal flow graph of System A, shown in Figure 1, represents a causal LTI system.



Figure 1: System A

(a)
Determine the system function and difference equation represented by this flow graph.

(b)
Is it possible to implement the same input/output relationship using fewer delays? If it is possible, state the minimum number of delays required to implement the system and sketch a new flowgraph implementation. If it is not possible, explain why not.

Problem 6.3
Oppenheim and Schafer, problem 6.33


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