The text attempts to summarize the Hilbert Transform for electronics engineers in telecoms applications just going to the point.
It was written by me, and I am human.
I think I got my purpose. But obviously the text will be useless for many people and very useful for others. Anyway, please take into account the context and the topic of the blog.
Long ago, single-sideband transmitters used a filtering technique or a phasing methodology. The phasing exciters essentially were quadrature phase splitters -- and yep, the Hilbert transform was the mathematics behind this. (another method, by Weaver, uses two Hilbert transforms.
Really good stuff here -- and many thanks!
-Cliff, K7TA
Yes. I intend to write one more article on single side band, and another one on the analytic signal. Including there the details you mention.
But for this one I just wanted to focus on Hilbert Transform and a little bit on the applications. Otherwise it would have been a bit "hard" for many readers.
Over the years, I've googled on and off about the Hilbert Transform, but never came even close to understanding where it could be useful. Your explanation is the first one that makes sense, though I'll need to reread it a couple of times to really get it. And hopefully, this will help me understand the more rigorous material too.
So thanks! It was very useful for me! And ignore the naysayers.
You will come across Hilbert transforms in a signals and systems or DSP course, which you would take in an EE/ME undergrad. A lot of the work in this space was done by mathematicians which I think contributes to the abstraction level at which it's taught. It can be useful and is definitely real.
I guess either way it’s written too terse for me to understand