Delta-T curves for measuring magnetic tape link jitter.
Root mean square time delay error with respect to playback time and autocorrelation function of tape recorded sine wave for studying jitter spectra
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Root mean square time delay error with respect to playback time and autocorrelation function of tape recorded sine wave for studying jitter spectra
Fluctuation spectra of monatomic gases, using two time probability distributions for distribution function autocorrelations
Discrete filter for determining autocorrelation functions of internal disturbances in sampled data control system during operation
Autocorrelation function and power spectral density of RF carrier modulated by split phase PCM code
Autocorrelation functions, power spectral density, bandwidth, and bit synchronization efficiency for PCM code formats
Output autocorrelation properties of ideal limiters driven by binary deterministic signal plus stationary zero-mean Gaussian noise
Photospheric magnetic field differential rotation using synoptic charts for autocorrelation technique
Circuitry for developing autocorrelation function continuously within signal receiving period
Computer programming formulas for frequency and statistical analysis of random waveform signals including Fourier analysis, probability density functions, and autocorrelation
Autocorrelation functions for diffuse cosmic X rays
Photospheric magnetic field direction autocorrelation showing differential and rigid rotation properties at various heliographic latitudes
Two mode He-Ne gas laser irradiance autocorrelation function measurement, comparing time-to-amplitude converter techniques with frequency domain measurements
Diffuse cosmic X rays small scale structure, comparing Wolfe-Burbridge theoretical autocorrelation functions for galaxies clusters and superclusters with experimental value
A statistical study of formulas for predicting the sunspot number several years in advance is reported. By using a data lineup with cycle maxima coinciding, and by using multiple and nonlinear predictors, a new formula which gives better error estimates than former formulas derived from the work of McNish and Lincoln is obtained. A statistical analysis is conducted to determine which of several mathematical expressions best describes the relationship between 10.7 cm solar flux and Zurich sunspot numbers. Attention is given to the autocorrelation of the observations, and confidence intervals for the derived relationships are presented. The accuracy of predicting a value of 10.7 cm solar flux from a predicted sunspot number is dicussed.
The diffusion equation which describes the evolution of the average one particle distribution function for an ensemble of strongly turbulent plasmas is derived. The diffusion tensor is a time integral of the autocorrelation tensor of the fluctuations as observed by particles moving along statistically distributed orbits. These orbits contain the effects of fluctuations and thus differ from those encountered in weak turbulence theory. The plasma trajectory equations are used to relate each to the diffusion tensor itself when the turbulence is electrostatic. The diffusion tensor is explicity evaluated for a strongly turbulent unmagnetized plasma.
Free-oscillation damping measurements at hypersonic and transonic Mach numbers are presented for the lower pitch flap of the M2-F2 reentry vehicle. For the flow and model conditions tested, the damping measurements indicate the absence of hypersonic buzz instability for flap rotation frequencies of 47.3 Hz, 153 Hz, and 360 Hz, the presence of transonic buzz for 47.3 Hz flap, and the absence of transonic buzz for a 115 Hz flap. There are not enough flap damping data for an error estimate based on repeatability, but a partial damping calibration is presented in which an analog computer simulation of random flap response for a known flap damping is fed into the autocorrelation computer and filter combination used for most of the damping measurements.
The program developed to analyze magnetic field data from the magnetic field experiment flown in IMP F is reported. The analysis converts the raw X, Y, Z sensor data as received on the magnetic field experiment tape into vector measurements of the ambient magnetic field observed by the experiment. These data are computed for four frames of reference -- apparent, payload, solar ecliptic and solar magnetospheric. In addition 20.45 second statistics are computed for the last three coordinate systems. Finally, a summary tape is produced containing detailed data and sequence statistics as well as the output from the autocorrelation computer, trajectory data and identification information.
The large-scale phototospheric magnetic field was computed by allowing observed active region fields to diffuse and to be sheared by differential rotation in accordance with the Leighton (1969) magneto-kinematic model of the solar cycle. The differential rotation of the computed field patterns as determined by autocorrelation curves is similar to that of the observed photospheric field, and poleward of 20 deg. latitude both are significantly different from the differential rotation of the long-lived sunspots (Newton and Nunn, 1951) used as an input into the computations.