|Some results on convolution idempotents
|Charantej Reddy P, Aditya Siripuram, Indian Institute of Technology Hyderabad, India; Brad Osgood, Stanford University, United States
|G.5: Signal Processing
|Graphs, Games, Sparsity, and Signal Processing
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|We consider the problem of recovering $N$ length vectors $h$ that vanish on a given set of indices and satisfy $h*h = h$. We give some results on the structure of such $h$ when $N$ is a product of two primes, and investigate some bounds and their connections to certain graphs defined on $\Z_N$.