  Effect of non-canonical scalar fields on the CMB imprints of the anisotropic
inflation will be discussed in details in this paper. In particular, we are
able to obtain the general formalism of the angular power spectra in the scalar
perturbations, tensor perturbations, cross-correlations, and linear
polarization in the context of the anisotropic inflation model involving
non-canonical scalar fields. Furthermore, some significant numerical spectra
will be plotted using the most recent data of Planck as well as the BICEP2 and
Keck array. As a result, we find a very interesting point that the $TT$ spectra
induced by the tensor perturbations as well as by the linear polarization will
increase when the speed of sound decreases.
