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AM electromagnetic waves: 20 KHz modulation frequency on an astronomically-low carrier frequency
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John Fields wrote: On Tue, 03 Jul 2007 12:05:52 -0700, Keith Dysart wrote: On Jul 3, 2:07 pm, Keith Dysart wrote: On Jul 3, 12:50 pm, John Fields wrote: On Mon, 2 Jul 2007 23:03:36 -0700, "Ron Baker, Pluralitas!" wrote: "John Smith I" wrote in message ... Radium wrote: snip Suppose you have a 1 MHz sine wave whose amplitude is multiplied by a 0.1 MHz sine wave. What would it look like on an oscilloscope? snip What would it look like on a spectrum analyzer? | | | | | | --------+--------------------+-------+------+---- 100kHz 0.9MHz 1MHz 1.1MHz Then suppose you have a 1.1 MHz sine wave added to a 0.9 MHz sine wave. What would that look like on an oscilloscope? snip Tricky!!! It looks like AM but it isn't, it's just the phases sliding past each other slowly and algebraically adding which creates the illusion. What would that look like on a spectrum analyzer? | | | | -----------------------------+--------------+---- 0.9MHz 1.1MHz -- JF But if you remove the half volt bias you put on the 100 kHz signal in the multiplier version, the results look exactly like the summed version, so I suggest that results are the same when a 4 quadrant multiplier is used. And since the original request was for a "1 MHz sine wave whose amplitude is multiplied by a 0.1 MHz sine wave" I think a 4 quadrant multiplier is in order. ...Keith- Ooops. I misspoke. They are not quite the same. --- That's right. They can't possibly be because the first instance _was_ multiplication and the second instance addition. --- The spectrum is the same, but if you want to get exactly the same result, the lower frequency needs a 90 degree offset and the upper frequency needs a -90 degree offset. --- That makes no sense since the frequencies are different and, consequently, the phase difference between the signals will be constantly changing. After you get done talking about modulation and sidebands, somebody might want to take a stab at explaining why, if you tune a receiver to the second harmonic (or any other harmonic) of a modulated carrier (AM or FM; makes no difference), the audio comes out sounding exactly as it does if you tune to the fundamental? That is, while the second harmonic of the carrier is twice the frequency of the fundamental, the sidebands of the second harmonic are *not* located at twice the frequencies of the sidebands of the fundamental, but rather precisely as far from the second harmonic of the carrier as they are from the fundamental. Isaac |
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