Concept explainers
(a)
Sketch thespectral content of the rectangular pulse.
(a)
Answer to Problem 34P
The spectral content of the rectangular pulse is
Explanation of Solution
Write the expression for the spectral content of the rectangular pulse,
Here,
Rewrite the above equation,
A sketch of
Conclusion:
In this case,
Rewrite the above equation,
Therefore, the spectral content of the rectangular pulse is
(b)
Show that a reciprocity relation
(b)
Answer to Problem 34P
A reciprocity relation
Explanation of Solution
Write the expression for the change in frequency in this case,
Here,
Write the expression for the change in time,
Here,
Conclusion:
Multiply (II) and (III),
Therefore, a reciprocity relation
(c)
The required range of frequencies to compose a pulse of width
(c)
Answer to Problem 34P
The required range of frequencies to compose a pulse of width
Explanation of Solution
Write the expression for the change in frequency in this case,
Conclusion:
For
Substitute
For
Substitute
Therefore, the required range of frequencies to compose a pulse of width
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Chapter 5 Solutions
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