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A transform domain LMS adaptive filter with variable step-size

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3 Author(s)
Bilcu, Radu Ciprian ; Signal Process. Lab., Tampere Univ. of Technol., Finland ; Kuosmanen, P. ; Egiazarian, K.

We introduce a new transform domain (least mean square) LMS algorithm with variable step. The existing approaches use different time-variable step-sizes for each filter tap. The step-sizes are time-variable due to the power estimates of each transform coefficient. In our new approach, for each step-size we define a local component that is given by the power normalization, and a global component that is the same for each filter coefficient. We show that if the global component is also made time-variable, depending on the output error, the speed of convergence can be significantly improved.

Published in:

Signal Processing Letters, IEEE  (Volume:9 ,  Issue: 2 )