  The main purpose is to introduce the so-called bicomplex (bc)-frames which is
a special extension to bicomplex infinite Hilbert spaces of the classical
frames. The crucial result is the characterization of bc-frames in terms of
their idempotent components, giving rise to generalization of certain results
to bc-frames. Although the extension is natural, many basic properties
satisfied by classical frames do not remain valid for bc-frames, unless we
restrict ourself to complex-valued Hilbert space on bicomplex numbers. By
benefiting from insight provided by the classical frame theory, we discuss the
construction of bc-frame operator and Weyl--Heisenberg bc-frames and we provide
some new ones which are appropriate for bc-frames.
