I/Q can be continuous frequency, not just sampled, though the digital form is 
the most common these days.

Don’t be worried if this takes a while to absorb. It is a shock to pretty much 
all EE students, right up there with Dr. Burrus’s lecture on negative frequency 
(with the omega belt buckle). I/Q is a natural fallout of the complex Fourier 
transform, but that does not make it intuitive.

wunder
Walter Underwood
[email protected]
http://observer.wunderwood.org/  (my blog)


On Mar 3, 2015, at 4:18 PM, Al Lorona <[email protected]> wrote:

> Hi, Richard,
> 
> These are very good questions. You have already been given links to tutorials 
> on the subject, but here are some short answers to your questions to get you 
> thinking.
> 
> 1) The I and Q signals do have a "frequency", but it's called 'sample rate'. 
> I and Q are constantly changing, but they are being sampled, or measured, at 
> a regular rate which is the sample rate. By the time I and Q appear at the 
> input of your soundcard they are considered 'baseband' or 'audio' and no 
> longer have a carrier frequency associated with them because they've been 
> demodulated. Think about this: does CW coming out of your speaker have a 
> frequency? Well, not a carrier frequency, because it's been removed in the 
> detector or demodulator, and besides we can't hear at the carrier freq, but 
> the CW definitely has a 'words per minute' rate which your ear locks on to 
> when it copies the CW. This is kinda like sample rate. You could call it 
> 'data rate'.
> 
> 2) I and Q are always 90 degrees out of phase. But their absolute phase is 
> unknown. So once you see I and Q, if they aren't squared up you can rotate 
> them artificially so that they line up on the X and Y axes that you see in 
> all the math books. This is easily done with a phase shifter, which is just 
> adding a delay to I and Q. If you take a picture of a football field, and 
> your camera wasn't perfectly parallel to the chalk lines, your mind 
> automatically 'adds phase' so that the lines are nice and square in your 
> mind. That's kinda how it works in a demodulator. I hope I answered the 
> question you had.
> 
> Al  W6LX
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