In the area of broadband spectrum sensing, there are multiple methods used to detect energy. Two common methods are:
- Energy detection in the time domain (matlab example)
- 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:
- How do you compare the sensitivity (ie probability of detection) between the two methods?
- 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?