### Dan Boschen (@DanBoschen)

Related but those don’t really fit the bill as they are used to compare two complex magnitudes rather than estimate the complex magnitude. However what I didn’t...

Very nice Rick! I didn't know that, thanks for the additional history and nice work. Until I reread the post, I was going to go forward from this point thinking...

This is the "Alpha Max + Beta Min" algorithm as a high-speed approximation for the magnitude of a complex number (or more generically the square root of the sum...

If the RF Bandwidth is 10 MHz there is no need to sample at or more than 30.72 MHz assuming complex baseband samples —sampling at twice the FFT sampling rate...

This is also referred to as “undersampling”. Key requirements and considerations to do this properly are that the analog input bandwidth of the ADC surpasses...

Yes you are correct and that Matlab and Octave do the expected conjugation. Apparently your signal has been already conjugated which can occur when the spectrum...

What may be missing is the complex conjugate that is required when doing a complex correlation. Correlation is the integration of the complex conjugate product of...

Have you considered windowing prior to the FFT? This will minimize the spectral leakage at the expense of widening the main lobe (frequency selectivity). Given you...

I recommend modeling the baseband equivalent signal which is the complex magnitude and phase versus time (the analytic signal moved to DC). There is no reason to...

Thanks, that is handy! The derivation now that I think about it seems straightforward. What we see is we are just lowering "S" in SNR directly: SNR = 20Log(Sine...

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