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S-SPADE Done Right: Detailed Study of the Sparse Audio Declipper Algorithms (1809.09847v4)
Published 26 Sep 2018 in math.OC, eess.AS, and eess.SP
Abstract: This technical report shows and discusses in detail how Sparse Audio Declipper (SPADE) algorithms are derived from the signal model using the ADMM approach. The analysis version (A-SPADE) of Kiti\'c et. al. (LVA/ICA 2015) is derived and justified. The synthesis version (S-SPADE) of the same research team is shown to solve a different optimization task than intended. This issue is corrected in this report, leading to the new S-SPADE algorithm which is in line to A-SPADE.