Constructing a Large Family of Equiangular Tight Frames
نویسندگان
چکیده
We provide a new method for constructing equiangular tight frames (ETFs). This method is valid in both the real and complex settings, and shows that many of the few previously-known examples of ETFs are but the first representatives of infinite families of such frames. The construction is extremely simple: a tensor-like combination of a Steiner system and a regular simplex. It provides great freedom in terms of the frame’s size and redundancy, and it explicitly constructs the frame vectors in their native domain, in which the frame vectors are very sparse. Keywords— equiangular, tight, frames, Steiner systems
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تاریخ انتشار 2010