A sampling criterion enabling signal reconstruction with specified limit error
Institution: | Oregon State University |
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Department: | Electrical and Electronics Engineering |
Degree: | MS |
Year: | 1968 |
Keywords: | Electronic data processing |
Record ID: | 1532613 |
Full text PDF: | http://hdl.handle.net/1957/46386 |
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.