EE313 Linear Systems and Signals - Homework #11 Hints

Problem 11.3: Keep in mind that before you can apply partial fractions decomposition, be sure that the ratio of two polynomials is a proper fraction. For example, 4/3 is not a proper fraction. However, 4/3 = 1 + 1/3, and 1/3 is a proper fraction.
Recall that the Mathematica command Apart can perform partial fractions decomposition. Apart tends to reduce the fraction so that the denominators are first-order and second-order. If you want Apart to reduce a second-order polynomial into two first-order polynomials, then you will need to input a factored denominator, e.g.
```
In[4]:=  Apart[ a / ((z - 1 + I)(z - 1 - I)) ]

           -I           I
           -- a         - a
           2            2
Out[4]= ---------- + ----------
        -1 - I + z   -1 + I + z
```

Last updated 12/03/10. Send comments to (Mailbox)

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