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For a complex-valued deterministic signal of finite energy band-limited to the normalized frequency band explicit coefficients are found such that for any satisfying , where is the signal energy and . Thus the estimate of in terms of past samples taken at a rate equal to or in excess of twice the Nyquist rate converges uniformly at a geometric rate to on . The suboptimal coefficients have the desirable property of being pure numbers independent of both the particular band-limited signal and of the selected sampling rate . It is also shown that these same coefficients can be used to estimate the value of of a wide-sense stationary random process in terms of past samples.