Noncoherent least squares estimators of carrier phase and amplitude
Date
2013
Authors
McKilliam, R.G.
Pollok, A.
Cowley, W.G.
Clarkson, I.
Quinn, B.G.
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Conference paper
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International Conference on Acoustics, Speech, and Signal Processing : proceedings, 2013, iss.6638590, pp.4888-4892
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2013 IEEE International Conference on Acoustics, Speech and Signal Processing (26 May 2013 - 31 May 2013 : Vancouver, Canada)
Abstract
We consider least squares estimators of carrier phase and amplitude from a noisy communications signal. We focus on signaling constellations that have symbols evenly distributed on the complex unit circle, i.e., M-ary phase shift keying. We show, under reasonably mild conditions on the distribution of the noise, that the least squares estimator of carrier phase is strongly consistent and asymptotically normally distributed. However, the amplitude estimator is not consistent, but converges to a positive real number that is a function of the true carrier amplitude, the noise distribution and the size of the constellation. The results of Monte Carlo simulations are provided and these corroborate the theoretical results.
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Copyright 2013 The Institute of Electrical and Electronics Engineers