Multi-dimensional, paraunitary principal component filter banks
نویسندگان
چکیده
z In this paper, the one-dimensional principal component lter banks (PCFB's) derived in 17] are generalized to higher dimensions. As presented in 17], PCFB's minimize the mean-squared error (MSE) when only Q out of P subbands are retained. Previously, 2D PCFB's were proposed in 16]. The work in 16] was limited to 2D signals and separable resampling operators. The formulation presented here is general in that it can easily accommodate signals of arbitrary (yet nite) dimension and non-separable sampling. A major result presented in this paper is that in addition to minimizing MSE when reconstructing from Q out of P subbands, the PCFB's result in maximizing theoretical coding gain (TCG)
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