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20 log Tc 2ttT Aeronautics and Space article relates constant interval constant number constant S/N constant time interval cps between resolvable D-2216 National Aeronautics Demmerle Goddard Space demonstrates the need elapsed Equation 8 yields error displacement error function f is large Figure 4 deduce form on Figure FREQUENCY cps FREQUENCY MEASUREMENTS frequency when f GAUSSIAN DISTRIBUTION Goddard Space Flight independent of frequency input signal log Tc 20 logarithmic form magnitude measured using zero-crossing measurement error MEASUREMENTS AND RESOLUTION NASA NASA TN NASA TECHNICAL NOTE neighbor noise number of cycles OTS price percent percentage of measurements perturbing probability relates the resolution RELATION BETWEEN RESOLUTION relation between S/N REQUIRED RESOLUTION RESOLUTION by Alan resolution of measurement resolvable elements S/N and frequency S/N required signal-to-noise ratio sine wave Space Administration Space Flight Center specified resolution standard deviation TECHNICAL NOTE D-2216 tion of measurement TN D-2216 National voltage error wave measurement zero-crossing techniques