We propose an adaptive lossy joint source-channel coding (JSCC) scheme for sending correlated sources over two-terminal discrete-memoryless two-way channels (DM-TWCs). The main idea is to couple the independent operations of terminals via mechanism, which can mitigate cross-interference resulting from simultaneous channel transmissions and concurrently exploit sources' correlation reduce end-to...

We show that, on inputs of length exceeding 5n, any n-state unary two-way nondeterministic 4nite automaton (2nfa) can be simulated by a (2n+2)-state quasi-sweeping 2nfa. Such a result, besides providing a “normal form” for 2nfa’s, enables us to get a subexponential simulation of unary 2nfa’s by two-way deterministic 4nite automata (2dfa’s). In fact, we prove that any n-state unary 2nfa can be s...

in this manuscript, we prove some coupled fixed point theoremsfor two pairs of self mappings satisfying contractive conditions of integraltype in generalized metric spaces. we furnish suitable illustrative examples.in this manuscript, we prove some coupled fixed point theoremsfor two pairs of self mappings satisfying contractive conditions of integraltype in generalized metric spaces. we furnis...

A two-way deterministic finite automaton with r(n) reversals performs ≤ r(n) input head reversals on every n-long input. Let 2D[r(n)] be all families of problems solvable by such automata of polynomial size. We prove that the reversal hierarchy 2D[0] ⊆ 2D[1] ⊆ 2D[2] ⊆ · · · is strict, but 2D[O(1)] = 2D[o(n)]. Moreover, the inner-reversal hierarchy 2D(0) ⊆ 2D(1) ⊆ 2D(2) ⊆ · · · , where now the b...

We demonstrate theoretically and experimentally that a simple periodic fully planar three-way microstrip coupled waveguide exhibits stationary inflection point (SIP). The SIP is third-order exceptional of degeneracy where three eigenmodes the guiding system coalesce to form frozen mode with zero group velocity. Here, shown in reciprocal supporting modes each direction. illustrate occurrence reg...

The pattern dynamics of the one-way coupled logistic lattice which can serve as a phenomenological model for open ow is investigated and shown to be extremely rich. For medium and large coupling strengths, we nd spatially periodic, quasiperiodic and chaotic patterns with temporal periodicity and analyze their stability with the help of a newly introduced spatial map. Criteria are established fo...