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Using the EXIT chart approach, a necessary and sufficient condition isdeveloped for the local stability of iterative decoding of multi-edge type(MET) doubly-generalized low-density parity-check (D-GLDPC) code ensembles. Insuch code ensembles, the use of arbitrary linear block codes as component codesis combined with the further design of local Tanner graph connectivity throughthe use of multiple edge types. The stability condition for these codeensembles is shown to be succinctly described in terms of the value of thespectral radius of an appropriately defined polynomial matrix.

Stability of Iterative Decoding of Multi-Edge Type Doubly-Generalized LDPC Codes Over the BEC