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In the area of broadband spectrum sensing, there are multiple methods used to detect energy. Two common methods are:

  1. Energy detection in the time domain (matlab example)
  2. Spectrogram (often defined by a time and frequency resolution [Fs/NFFT], overlap percentage, and number of noncoherent averages [NAVG])

When doing energy detection in the time domain, a polyphase channelizer is often used make smaller subchannels of a large chunk of spectrum.

Questions:

  1. How do you compare the sensitivity (ie probability of detection) between the two methods?
  2. Is it accurate to say that the difference between the detection SNRs would be: $$ \Delta \text{SNR} = 10\log_{10}(\Delta f_1 / \Delta f_2) + 10\log_{10}\sqrt {N_{AVG}}$$ where $$ \Delta f = 1/F_s $$ for option 1 and $$ \Delta f = F_s/N_\text{FFT} $$ for option 2?
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  • $\begingroup$ 1. by modelling or simulating signals of different powers and deriving or measuring least reliable detection (you'll need to define a least probability of detection). $\endgroup$ – Marcus Müller Feb 26 '20 at 19:34
  • $\begingroup$ 2. no, since that depends on your signal model. $\endgroup$ – Marcus Müller Feb 26 '20 at 19:35

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