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Efficient Least Absolute Deviation Adaptive Wavelet Filter Bank


Sović, Ana; Seršić, Damir
Efficient Least Absolute Deviation Adaptive Wavelet Filter Bank // IEEE transactions on signal processing, 62 (2014), 14; 3631-3642 doi:10.1109/TSP.2014.2328978 (međunarodna recenzija, članak, znanstveni)


Naslov
Efficient Least Absolute Deviation Adaptive Wavelet Filter Bank

Autori
Sović, Ana ; Seršić, Damir

Izvornik
IEEE transactions on signal processing (1053-587X) 62 (2014), 14; 3631-3642

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Adaptive wavelet filter banks; compact representation; efficient realization; least absolute deviation; least squares
(Adaptive wavelet filter banks; compact representation; efficient realization; least absolute deviation; least squares.)

Sažetak
Compact representation of signals and images is a key for many applications. Compactness is often achieved through linear transforms with good energy concentration property. We present an adaptive wavelet filter bank with fixed number of vanishing moments, plus additional local adaptation. Proposed adaptation method is conducted at each sample according to the least absolute deviation (LAD) criterion. Fixed vanishing moments provide for polynomial annihilation. Adaptation is aimed to achieve maximum sparseness for a wider class of signals, such as sine waves. LAD criterion results in more accurate adaptation on sudden changes of signal statistics. In this paper, an efficient LAD realization is proposed, in spite of nonexistence of the closed form solution. Combining least squares and LAD criterion, we have achieved unbiased adaptation, robust to noise. Due to its simplicity and acceptable computational speed, the proposed scheme is a good candidate for the real-world applications. In this paper, advantages of the proposed scheme are shown in signal denoising and reconstruction.

Izvorni jezik
Engleski

Znanstvena područja
Elektrotehnika, Računarstvo



POVEZANOST RADA


Projekt / tema
036-0362214-1987 - Modeliranje kompleksnih sustava (Branko Jeren, )
036-0362214-1989 - Inteligentne metode obrade i analize slika (Sven Lončarić, )

Ustanove
Fakultet elektrotehnike i računarstva, Zagreb

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


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