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Those having minimum left degree of ≥2 are generally suitable for a nonrecursive inner code/modulator but not for a differential detector or any recursive inner code.
Let ({mathcal G} = ({mathcal U} cup {mathcal V}, {mathcal E})) be an unbalanced left regular bipartite graph with (|{mathcal U}| = n geq |{mathcal V}| = m) and left degree h.
For complexity concerns, instead of performing dual optimization, we apply the concentration theorem in (9) and preselect that will make the the average column weight to be approximately 3. The left degree profile is optimized through the convergence-constraint method discussed in the previous subsection.
Proposition 2. In a Tanner graph with a left degree distribution, isolating one edge per bit node yields a new left degree distribution described by the polynomial : (28).
The Tanner graph ({mathcal H}) is a bi-regular bipartite graph with left degree 2 and right degree Δ.
An ensemble of LDPC codes is the set of all LDPC codes that satisfy the left degree distribution and right degree distribution.
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Bottom Spherical harmonic power spectra (left) and degree correlation (right) at Earth's surface showing comparisons of CHAOS-6 with CHAOS-4 and MF7.
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