In this paper, we study the stability of phase retrieval problems via a family locally stable frame measurements in Banach spaces, which call “locally and conditionally connected” (LSCC) measurement schemes. For any signal f space, associate it with weighted graph Gf, defined by LSCC scheme, show that retrievability is determined connectivity Gf. We quantify two common measures connectivity: Th...

We classify connected Lie groups which are locally isomorphic to generalized Heisenberg groups. For a given generalized Heisenberg group N , there is a one-to-one correspondence between the set of isomorphism classes of connected Lie groups which are locally isomorphic to N and a union of certain quotients of noncompact Riemannian symmetric spaces.

The strongly-connected trellis was originally proposed by Chang and Yao as a way of increasing the efficiency of Viterbi decoders implemented on locally-connected parallel processor arrays. Originally, this concept was derived with binary convolutional codes in mind. Its adaptation to TCM is non-trivial due to the presence of parallel branches in the trellis. The method we propose utilizes a mo...