  Loop quantum cosmology allows to replace the original singularity by a
quantum bounce followed by a phase of fast expansion called super-inflation. In
this paper, we use a simple analytic description of super-inflation using the
equation of state of a fluid. We then derive the power spectrum of tensor
perturbations produced. The effects on the B-mode polarization of the
cosmological background radiation are discussed. For a large region of phase
space, the spectrum should be distinguishable from the standard inflationary
prediction for future observations.
