Re: IQ and complex signals tutorial

Hi

Thanks to Achilleas for his kind advices.

In fact my personal notation (issued for my lecture to master students) is conflicting with some other notation found in the literature (may be my books are outdated, I've been teaching this for 35 years!)

I will modify the tutorial to use:

• "pre-envelope" m_+(t) = m(t) + j \hat{m}(t) , but without introducing the Hilbert Transform (HT) \hat{m}(t) in this tutorial
  
• "complex-envelope", \tilde{m}(t)

There is a problem with signal with a hat:

• I use \hat{i}(t)  for signal obtained after decision or demodulation in a receiver; which should be similar to  i(t) found in the emitter
  
• but this is also used for the HT in some literature.

Since I will not use HT , there is no confusion. I will add a note to clearly state that \hat{i}(t) must not be confused ith the HT.

However, if someone as a better idea for this last point, i can use it.

Regards,

On 02/02/2021 01:50, Achilleas Anastasopoulos wrote:

Hi Crostophe,

thank you for this wonderful tutorial.

You may want to use the more standard terms:

"pre-envelope" m_+(t) = m(t) + j \hat{m}(t)

(ie, the signal you currently denote as \tilde{m}(t))

"complex-envelope", \tilde{m}(t)

(for the signal you currently denote as m^{bb}(t) )

thank you again for your efforts,

Achilleas