Signal Recovery and the Large Sieve
نویسندگان
چکیده
We develop inequalities for the fraction of a bandlimited function's Lp norm which can be concentrated on any set of small 'Nyquist density'. We mention two applications. First, that a bandlimited function corrupted by impulsive noise can be reconstructed perfectly, provided the noise is concentrated on a set of Nyquist density < 1/7r. Second, that a wideband signal supported on a set of Nyquist density < 1/7r can be reconstructed stably from noisy data, even when the low frequency information is completely missing.
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تاریخ انتشار 2008