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?

  • $\begingroup$ It doesn't "extract" anything. You can use it to mathematically define the analytical signal. How familiar are you with complex baseband? $\endgroup$ – Marcus Müller Feb 21 at 17:48
  • $\begingroup$ Just starting to learn, so any info is appreciated $\endgroup$ – Jun L. Feb 21 at 17:51
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    $\begingroup$ 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. $\endgroup$ – Marcus Müller Feb 21 at 17:54

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