Abstract:We study the recovery of a finitely supported distribution, a complex linear combination of Dirac measures, from intensity measurements. The distribution µ = s j=1 c j δt j is given by a coefficient vector c ∈ C s and its support {t 1 , t 2 , . . . , ts} is contained in [0, Λ] for some Λ > 0. The intensity measurements evaluate (squared) magnitudes of a set of linear functionals applied to µ, obtained by sampling μ, the Fourier transform of µ, or by evaluating differences between modulated samples. Following a… Show more
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