R.A. Niland
Abstract
A kernel is developed that enables a bandlimited signal to be optimally reconstructed from a finite number N of samples taken at the Nyquist rate or faster. The point reconstruction error, which falls as only N−0.5 at the Nyquist frequency, drops exponentially with N if there is even moderate oversampling.
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A kernel is developed that enables a bandlimited signal to be optimally reconstructed from a finite number N of samples taken at the Nyquist rate or faster. The point reconstruction error, which falls as only N−0.5 at the Nyquist frequency, drops exponentially with N if there is even moderate oversampling.
Key concepts: Oversampling, Nyquist rate, Bandlimiting, Nyquist frequency, Nyquist–Shannon sampling theorem, Mathematics, Nyquist stability criterion, Kernel (algebra)