  Valley degree of freedom, an excellent information carrier in valleytronics,
has been further introduced into advanced microstructure systems for achieving
the acoustic valley-Hall topological insulators (VHTIs), which host
valley-projected edge states suppressing the undesired sound backscattering
under certain perturbations. Therein, the majority of previous literatures
focused on single frequency region, and the lack of capability of simultaneous
multi-band operation with individual control radically impedes their potential
applications. Here, a binary topological-encoded acoustic VHTI is investigated
both theoretically and experimentally to manipulate each of the dual-band
valley-projected edge states. Through arranging different coding elements
derived from the combined valley-Chern numbers, the existence and propagation
directions of the frequency selective edge states can be configured in
corresponding frequency regions individually. On this basis, three types of
proof-of-concept acoustic topological-encoded functional devices are designed,
including frequency beam splitter, anti-interference demultiplex topological
sensing and composite topological whispering gallery. Our proposal may provide
versatile possibilities for achieving the integrated multifunctional systems in
multi-channel signal processing and memorizing with high efficiency and high
capacity.
