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Chapter 39: Q. 28 (page 1118)

FIGURE P39.28 shows a pulse train. The period of the pulse train is T=2螖t, where 螖tis the duration of each pulse. What is the maximum pulse-transmission rate (pulses per second) through an electronics system with a 200kHz bandwidth? (This is the bandwidth allotted to each FM radio station.)

Short Answer

Expert verified

fmax=1脳105Hz

Step by step solution

01

part (a) step 1:  Given information

We would like to find the maximum frequency possible for the pulse train. First, we are going to make use of the equation 螖f螖t鈮�1,where we are given that the maximum螖fis 200 KHz ( the bandwidth), and from this, we can find the smallest possible duration of the pulse

螖t=1200脳103Hz=5脳10-6s

now we can use the fact that the period isT=2螖t,so the period of the pulse train is

T=2螖t=25.00脳10-6s=1脳10-5s

which is the smallest possible period. Thus, the maximum frequency or the maximum pulse- transmission rate is

fmax=1T=11脳10-5s=1脳105Hz

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