Title :
Transient behavior of the LMS algorithm: a deterministic approach
Author :
Titchener, Paul F.
Author_Institution :
Comdisco Syst. Inc., Foster City, CA, USA
Abstract :
The dynamic behavior of the LMS (least mean square) algorithm is analyzed for an important class of nonstationary desired and input signals. Differential equation analysis is used to model the LMS algorithm and predicts in closed form the performance for signal sets that are members of the exponential family, such as damped sinusoids and phasors. The analysis provides new insight into the use of adaptive processing in applications where signals are primarily sinusoidal in nature, such as radar, sonar, and other communication areas
Keywords :
differential equations; digital arithmetic; least squares approximations; signal processing; transients; LMS algorithm; adaptive processing; closed form; communication; damped sinusoids; deterministic approach; differential equation; dynamic behavior; exponential signals; input signals; least mean square; nonstationary signals; performance prediction; phasors; radar; signal sets; sinusoidal signals; sonar; transient behavior; Algorithm design and analysis; Differential equations; Least squares approximation; Performance analysis; Prediction algorithms; Predictive models; Radar applications; Radar signal processing; Signal analysis; Signal processing;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on
Conference_Location :
Albuquerque, NM
DOI :
10.1109/ICASSP.1990.115689
