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Article Dans Une Revue IEEE Signal Processing Letters Année : 2014

About QLMS Derivations

Résumé

In this letter, a review of the quaternionic least mean squares (QLMS) algorithm is proposed. Three versions coming from three derivation ways exist: the original QLMS based on component wise gradients, the HR-QLMS based on a quaternion gradient operator and iQLMS based on an involutions-gradient. Noting and investigating the differences between the three QLMS formulations, we show that the original QLMS suffers from a mistake in the derivation calculus. Thus, we propose to derive rigorously the criterion following the first way, giving the correct version of QLMS. A comparison with the other QLMS versions validates these results on simulated data.
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Dates et versions

hal-00935020 , version 1 (22-01-2014)

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Quentin Barthélemy, Anthony Larue, Jerome I. Mars. About QLMS Derivations. IEEE Signal Processing Letters, 2014, 21 (2), pp.240-243. ⟨10.1109/LSP.2014.2299066⟩. ⟨hal-00935020⟩
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