Minimum error bound of signal reconstruction

In signal processing, reconstruction of a bandlimited signal from finite sa mples is complicated by the underdetermined nature of the problem and the u navoidable noise in the measurement. A sensitivity function was recently fo rmulated assuming noise-free data, which provides point-wise information ab out reliability of the reconstructed signal before actual samples of the si gnal are taken. In this communication, the minimum error bound of signal re construction is derived assuming noisy data.