Suppose we set up a tuned circuit formed by a coil and a condenser and
try it out for various frequencies of signals. You know how it will
respond from our discussion in connection with the tuning curve of Fig.
51 of Letter 13. We might find from a number of such tests that the best
we can expect any tuned circuit to do is to discriminate between signals
which differ about ten percent in frequency, that is, to receive well
the desired signal and to fail practically entirely to receive a signal
of a frequency either ten percent higher or the same amount lower.
For example, if the signal is at 30,000 cycles a tuned circuit might be
expected to discriminate against an interfering signal of 33,000. If the
signal is at 300,000 cycles a tuned circuit might discriminate against
an interfering signal of 330,000 cycles, but an interference at 303,000
cycles would be very troublesome indeed. It couldn't be "tuned out" at
all.
Now suppose that the desired signal is at 300,000 cycles and that there
is interference at 303,000 cycles. We provide a local oscillator of
270,000 cycles a second, receive by this "super-heterodyne" method which
I have just described, and so obtain an intermediate frequency. In the
output of the first detector we have then a current of 300,000--270,000
or 30,000 cycles due to the desired signal and also a current of
303,000--270,000 or 33,000 cycles due to the interference. Both these
currents we can supply to another tuned circuit which is tuned for
30,000 cycles a second. It can receive the desired signal but it can
discriminate against the interference because now the latter is ten
percent "off the tune" of the signal.
You see the question is not one of how far apart two signals are in
number of cycles per second. The question always is: How large in
percent is the difference between the two frequencies? The matter of
separating two effects of different frequencies is a question of the
"interval" between the frequencies. To find the interval between two
frequencies we divide one by the other. You can see that if the quotient
is larger than 1.1 or smaller than 0.9 the frequencies differ by ten
percent or more. The higher the frequency the larger the number of
cycles which is represented by a given size of interval.
While I am writing of frequency intervals I want to tell you one thing
more of importance. You remember that in human speech there may enter,
and be necessary, any frequency between about 200 and 2000 cycles a
second. That we might call the range of the necessary notes in the
voice. Whenever we want a good reproduction of the voice we must
reproduce all the frequencies in this range.
Public-domain text, read in full here on John Shaqi.
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