Is there a more optimal peak location estimator specifically for triangle waves in AGWN, compared with peak estimation for generic waveforms?
For a "smooth" waveform in noise, a common peak locator method might involve a linear-phase low-pass filter or an overdetermined polynomial curve fit (by regression, et.al.), followed by a maxima/minima search. But if the signal is known to be a sharp triangle wave (which may imply that any sampling included/aliased some non-filtered frequency content above Fs/2, if that is relevant), or portion thereof, and not a low order polynomial or other smooth waveform, can this information be used to improve the triangle peak location estimation?
If so, how?
Added: Less than 1 period of the triangle wave may be available. But assume at least one extrema is in the data window.