Ac. Tan et al., IMAGE FILTERING USING HYPERSTABLE ADAPTIVE ALGORITHMS, IEEE transactions on circuits and systems. 2, Analog and digital signal processing, 44(5), 1997, pp. 358-370
In view of recent interest in applications of adaptive filtering of mu
ltidimensional (m-D) signals in practical problems such as video compr
ession and image enhancement, implementation of a class of m-D infinit
e impulse response, adaptive, hyperstable filters is undertaken, While
the theoretical results on convergence of such schemes have been made
available in our recent work On the topic, the present paper reports
our experiments with enhancement of noise-corrupted images for tile fi
rst time, Aside from implementing the previously introduced m-D HARF a
lgorithm, we also introduce and implement other variants of the algori
thm that are conceptually more transparent, computationally less expen
sive, or converge faster, The new algorithms emerging from this study,
namely, the modified m-D HARF and the m-D SHARF are compared with the
earlier m-D HARF algorithm by; explicitly deriving measures of comput
ational complexities for both sequential and for parallel implementati
on, whenever appropriate, Performances of these nem algorithms are als
o studied both theoretically and experimentally.