A 2-D recursive inverse adaptive algorithm

A 2-D Second-Order Recursive Inverse Adaptive Filtering Algorithm

“…In order to see the performance of the proposed algorithm, it is applied to a 2-D ALE in [7]. In this setting, the original image with noise, that recovered by the 2-D RLS algorithm.…”

Recursive inverse algorithm: Mean-square-error analysis

“…Based on these assumptions it can be deduced from (48) and (39) that E{x(k)d(k)} = R xx w s . Using the definition of error weight vector given in (18), the difference equation for the weight error can be derived as…”

“…It was shown that the RI algorithm performs considerably better than the LMS algorithm and its variants. It was also shown that its performance regarding convergence rate and excess MSE approaches to that of the RLS in various settings [17][18][19][20], with less computational complexity (2.5N 2 + 3.5N mult./div. and 2N 2 + N add./sub.)…”

“…[1]. In previous publications on the RI algorithm [1,[17][18][19][20], there has been no detailed study of its learning behavior performance. The main contribution of this paper is the derivation of analytical results for the learning behavior of the RI algorithm.…”

LMS Adaptive Filters for Noise Cancellation: A Review

“…The application of this technique can be found in various industrial and communication appliances, such as machineries, hands-free phones and transformers [3,4]. Additionally, noise cancellation has also been implemented in the field of image processing, biomedical signal, speech enhancement and echo cancellation [5][6][7]. As the noise from the surrounding environment severely reduces the quality of speech and audio signals it is quite necessary to suppress noise and enhance speech and audio signal quality, hence the acoustics applications of noise cancellation has become the thrust area of research.…”