Title :
Second-order analysis of the RC-WL-QLMS algorithm
Author :
Neto, Fernando G Almeida ; Nascimento, Vítor H.
Author_Institution :
Dept. of Electron. Syst. Eng., Univ. of Sao Paulo, Sao Paulo, Brazil
Abstract :
In this paper we develop a second-order analysis of the widely-linear reduced-complexity quaternion LMS algorithm (RC-WL-QLMS), proposed. We use an approach based on writing the quaternion vectors and matrices as extended real entities, in order to make the analysis similar to the real LMS algorithm analysis. As a result, we obtain a second-order model of the RC-WL-QLMS for small step-sizes. We present simple equations for the steady-state EMSE and MSD, and a second-order criterion to choose the step-size.
Keywords :
least mean squares methods; matrix algebra; MSD; RC-WL-QLMS algorithm; quaternion vectors; second-order analysis; second-order criterion; second-order model; small step-sizes; steady-state EMSE; widely-linear reduced-complexity quaternion LMS algorithm; Algorithm design and analysis; Equations; Mathematical model; Quaternions; Stability analysis; Vectors;
Conference_Titel :
Wireless Communication Systems (ISWCS), 2012 International Symposium on
Conference_Location :
Paris
Print_ISBN :
978-1-4673-0761-1
Electronic_ISBN :
2154-0217
DOI :
10.1109/ISWCS.2012.6328411
