Sparse near-equiangular tight frames with applications in full duplex wireless communication

We construct extremely sparse, near-equiangular tight frames which share the same row space as certain incomplete Delsarte-Goethals frames. Frames combining these properties have application in full duplex communication in ad-hoc wireless networks. We highlight their computational advantage over similar constructions of sparse equiangular tight frames: namely that their associated matrix-vector products can be implemented as a fast transform.