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11 Sep 2013: We present an op-timal non-linear post-processing function of the checknode outputs that achieves this bound. ... 1] Jinghu Chen and Marc P. C. Fossorier, “Near op-timum universal belief propagation based decodingof low-density parity check codes,”

5 Aug 2013: This pa-per describes a new and effective design technique for op-timizing the Q-shift filters, particularly for image process-ing applications where linear-phase is an important prop-erty ... 4. RESULTS. Figures 4 and 5 show the frequency responses of

5 Aug 2013: Therefore the redundancy atthe output is still 2:1. For 2-D signals, the two trees first op-erate on the rows and then the columns of the data.

5 Aug 2013: ȳ = D(Hx) n̄ (1). Then the problem can be expressed as recovery of the higher-sampled x from ȳ, with known PSF H and subsampling op-eration D according to

5 Aug 2013: 4] H Bölcskei and F Hlawatsch, “Oversampled filter banks: Op-timal noise shaping, design freedom, and noise analysis,” inICASSP 97, April 1997, pp.

11 Sep 2013: Designing the degree distributions of an LDPC code tomatch a given frontend is a nontrivial task, since the op-timization problem is nonlinear, and therefore, search algo-rithms have to be

5 Aug 2013: transform, togetherwith multiple instances of fully sampled matched filter op-erations (at each scale level) is computationally expensive.It is also unclear as to how the vertical, horizontal, anddiagonal subbands are

5 Aug 2013: Though these techniques have good empiricalperformance, they have not been proven to attain the op-.

5 Aug 2013: The Karush-Kuhn-Tucker (KKT) conditions require that, at the op-timum solution, each term of the summation on the right-hand sideof (3) is zero, and this is achieved byλi

5 Aug 2013: While these formulas are considerablysimpler than optimizing over all policies, they are not op-timizations over finite-dimensional spaces, and are difficultto compute.