# How does the Hilbert Transform extract the in-phase and quadrature phase components of a real passband signal?

I am taking an intro to radar signal processing course and we are discussing the Hilbert Transform and how it take a real input and its output is analytically complex. I'm trying ) how a radar recextracts $$p(t)$$ and can $$q(t)$$ frathe in-phase and quadrature phase components ssband signal $$t$$, (sayo underst)and how and can give insight into amplitude and phase. Could someone shed light on this topic, or perhaps provide a block diagram of how this process works?

• It doesn't "extract" anything. You can use it to mathematically define the analytical signal. How familiar are you with complex baseband? – Marcus Müller Feb 21 at 17:48
• Just starting to learn, so any info is appreciated – Jun L. Feb 21 at 17:51
• Ah, OK. So, then, you should really start by learning what the analytical signal is, and what equivalent complex baseband is (Maybe you've heard of I and Q?). The definition of analytical signals is based on the Hilbert transform, and it allows to separate negative from positive frequencies. Complex baseband uses that decomposability to represent a real passband signal around a center frequency as complex signal around the 0 frequency. This is really in every RF/comms textbook and a bit of an overly broad question, if I'm honest. – Marcus Müller Feb 21 at 17:54