Biomedical Engineering Reference
In-Depth Information
>>
conv(z, w)
resulting in
s
s
¼
¼ 1.0e
012 *
Columns 1 through 4
0.00000000002700
þ
0.00000005670000
0.00004464000000
0.01561600000000
Column 5
2.04800000000000
3 multiplied by the right-side numerator term
is (27x 4 ),
The left-side denominator term 27
x
x
written in MATLAB as
>>
q
¼
[270000]
giving
q
¼ 270000
Next, we subtract the two polynomials, using the MATLAB command
>>
t
¼
s
q
resulting in
t
¼ 1.0e
012 *
Columns 1 through 4
0
þ
0.00000005670000
0.00004464000000
0.01561600000000
Column 5
2.04800000000000
The polynomial evaluated by the previous steps can be written as
10 4
3
10 7
2
10 10
10 12
0
The final step in the problem is to evaluate the roots of the resulting polynomial:
5.67
x
þ
4.464
x
þ
1.5616
x þ
2.048
¼
>>
v
¼
roots(t)
which yields
v
¼ 1.0e
002 *
2.62504409150663
þ
þ
2.62297313283571i
2.62504409150663
2.62297313283571i
2.62292769000261
Two of the roots are complex and are eliminated because they fall outside the problem con-
straints, giving a solution of
x ¼
262
:
3
Table A.2 summarizes some MATLAB commands used for evaluating polynomials.
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