Re: Phase MLE of single sinusoid

On Feb 27, 9:32 am, "junoexpress" <MTBrenne...@xxxxxxxxx> wrote:
Hi,

In the MLE estimation for the phase angle of a single sinusoid
embedded in WGN, different cases arise depending on what signal
parameters you assume are known. When the frequency is assumed known,
then there are the two cases that are typically considered in the
literature for estimating the phase of the signal amplitude being
known and not being known.

I am curious how significant/practically important the case of phase
estimation when the signal amplitude is (assumed) known really is. It
appears to be of some theoretical interest (Kay in Signal Processing
devotes about a page to this case and it is handled in the literature
- see for example Hing-Cheung So, IEICE Trans Fundamentals, 2006), but
I am wondering how many practical problems it really applies to. Since
I am a mathematician and not an engineer, I am wondering if anyone has
some examples where one encounters this situation. My intuition tells
me that the case where the amplitude is assumed "known" is most
typically the case where in reality the amplitude is not known, but
the SNR is so high that the amplitude can be estimated well.

One hypothetical example is where an AGC prescales your
signal amplitude to a known value, and with equal or higher
accuracy than your estimation circuit is capable. (e.g. pre-
calibrated high quality low noise analog AGC followed by
a relatively low bit-resolution ADC before extracting phase).


IMHO. YMMV.
--
rhn A.T nicholson d.0.t C-o-M



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