A sampling criterion enabling signal reconstruction with specified limit error Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/vm40xw376

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  • A sampling criterion which provides a numerical relationship between sampling rate and worst-case peak error for linear interpolation of sample points is presented. The criterion, based upon the second derivative of a waveform, is derived, its properties are observed for a sine wave, and its applicability to complex signals is discussed. An approximate measure of the second derivative for an amplitude-time function is implemented using a linear analog circuit, and this device in conjunction with an analog computer is used to confirm the validity of the sampling criterion. Possible application to on-line variable-rate sampling control for data compression is discussed in the conclusion.
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