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On Non-Interactive Source Simulation via Fourier Transform. (arXiv:2212.09239v1 [cs.IT])
Dec. 20, 2022, 2:10 a.m. | Farhad Shirani, Mohsen Heidari
cs.CR updates on arXiv.org arxiv.org
The non-interactive source simulation (NISS) scenario is considered. In this
scenario, a pair of distributed agents, Alice and Bob, observe a distributed
binary memoryless source $(X^d,Y^d)$ generated based on joint distribution
$P_{X,Y}$. The agents wish to produce a pair of discrete random variables
$(U_d,V_d)$ with joint distribution $P_{U_d,V_d}$, such that $P_{U_d,V_d}$
converges in total variation distance to a target distribution $Q_{U,V}$ as the
input blocklength $d$ is taken to be asymptotically large. Inner and outer
bounds are obtained on the …
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