Timeline for Estimation of Two Closely Spaced Frequencies?
Current License: CC BY-SA 4.0
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| Aug 4, 2018 at 15:09 | history | edited | Dan Boschen | CC BY-SA 4.0 |
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| Aug 4, 2018 at 4:31 | comment | added | Dan Boschen | Yes interesting, thank you- i can picture a phasor diagram of the two tones relative to one of the tones (such as being demodulated to baseband) so that one tone is magnitude 1, angle zero and fixed with time and the other tone therefore is a phasor with it’s relative magnitude on the end of that first phasor and spinning at its relative frequency. From this i can visualize how I can measure that frequency with any two consecutive samples in time by deriving the rate of rotation (if spaced less than 1/f), as long as the SNR is sufficiently high with no other signals present. | |
| Aug 4, 2018 at 1:39 | comment | added | Amro | thank you for you answer. the 1/T is the resolution of DFT maximum likelihood estimator. there are other methods with better frequency resolution. like signal subspace approximation method, MUSIC, among others. see [Karhunen, Juha T., and Jyrki Joutsensalo. "Sinusoidal frequency estimation by signal subspace approximation." IEEE Transactions on signal processing 40.12 (1992): 2961-2972.] | |
| Aug 3, 2018 at 22:13 | history | answered | Dan Boschen | CC BY-SA 4.0 |