High-frequency components that are lost when a signal s(x) of bandwidth W is low-pass filtered in sinusoid-crossing sampling are recovered by use of the minimum-negativity constraint. The lost high-frequency components are recovered from the information that is available in the Fourier spectrum, which is computed directly from locations of intersections {x(i)} between s(x) and the reference sinusoid r(x) = A cos(2 pi f(r)x), where the index i = 1,2,..., 2M = 2Tf(r), and T is the sampling period. Low-pass filtering occurs when f(r) < W/2. If s(x) less than or equal to A for all values of x within T, then a crossing exists within each period Delta = 1/2f(r). The recovery procedure is investigated for the practical case of when W is not known a priori and s(x) is corrupted by additive Gaussian noise. (C) 1998 Optical Society of America. [References: 33]
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机译:通过使用最小负约束来恢复在正弦交叉采样中对带宽为W的信号s(x)进行低通滤波时丢失的高频分量。从傅立叶频谱中可用的信息中恢复丢失的高频分量,该信息直接从s(x)与参考正弦曲线r(x)= A cos( 2 pi f(r)x),其中索引i = 1,2,...,2M = 2Tf(r),T为采样周期。当f(r)展开▼