Abstract
We consider low-complexity decoding of generalized second-order Reed-Muller frames. Second-order Reed-Muller frames are highly non-coherent, highly-structured, sets of 2^m-dimensional complex vectors with fourth root-of-unity alphabet, that come by design with a low-complexity chirp reconstruction algorithm (ChirpRA). In this paper, we extend ChirpRA to expanded frames in 2^m-dimension with same alphabet, and we also generalized it to Reed-Muller frames in other dimensions constructed from different alphabets.
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