| Radium 2007-06-25, 8:25 pm |
| Hi:
Please don't be annoyed/offended by my question.
Paul Cardinale said that there is no higher limit to the frequency a
carrier wave can transport -- regardless of the carrier wave's
frequency.
Karl Uppiano said 2.89e6-photons-per-second is the minimum wattage
required to carry an audio signal.
After reading the above, I assume it is mathematically-possible to
carry a modulator signal with a frequency of 10^1,000,000,000-to-the-
power-10^1,000,000,000 gigacycles every 10^-(1,000,000,000-to-the-
power-10^1,000,000,000) nanosecond and an amplitude of 1-watt-per-
meter-squared on a AM carrier signal whose frequency is 10^-
(1,000,000,000-to-the-power-10^1,000,000,000) nanocycle* every
10^1,000,000,000-to-the-power-10^1,000,000,000 gigaeons and whose
amplitude is a minimum of 10^1,000,000,000-to-the-
power-10^1,000,000,000 gigaphotons per 10^-(1,000,000,000-to-the-
power-10^1,000,000,000) nanosecond.
If I assume wrong, please explain how I am wrong as Cardinale already
said that there is no minimum carrier-frequency required on AM radio.
IOW, there is no limit to how high a frequency a modulator signal can
be and still be coherently encoded on an AM carrier wave.
A 20 KHz tone can exist in a 1 Hz AM carrier signal -- or that is what
I am getting from Cardinale's statement.
10^-(1,000,000,000-to-the-power-10^1,000,000,000) second is an
extremely short amount of time. 10^-(1,000,000,000-to-the-
power-10^1,000,000,000) nanosecond is even shorter because a
nanosecond is shorter than a second.
10^1,000,000,000-to-the-power-10^1,000,000,000 cycles is an extremely
large amount of cycles. 10^1,000,000,000-to-the-power-10^1,000,000,000
gigacycles is even more because a gigacycle is more than a cycle.
Gigaeon = a billion eons
Eon = a billion years
Gigacycle = a billion cycles.
*nanocycle = billionth of a cycle
Gigaphoton = a billion photons
10^1,000,000,000-to-the-power-10^1,000,000,000 -- now that is one
large large number.
10^1,000,000,000 = 10-to-the-power-1,000,000,000
So you get:
(10-to-the-power-1,000,000,000) to the power (10-to-the-
power-1,000,000,000)
10^-(1,000,000,000-to-the-power-10^1,000,000,000) = 10^-(10-to-the-
power-1,000,000,000)-to-the-power-(10-to-the-power-1,000,000,000)
10^-(10-to-the-power-1,000,000,000) to the power (10-to-the-
power-1,000,000,000) is an extremely small number at it equals 10-to-
the-power-NEGATIVE-[(10-to-the-power-1,000,000,000) to the power (10-
to-the-power-1,000,000,000)]
Thanks,
Radium
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