The Development of New Digital Data Processing Techniques for Turbulence Measurements with a Laser Velocimeter

Abstract : Research has developed a laser velocimeter data processing technique that may be used for on-line estimation of turbulence power spectra from randomly timed samples at low data rates. First, an estimate of the turbulence autocovariance is made at each lag by discretizing the time axis into lag units, accumulating the products of pairs of sample magnitudes occurring at each lag, and dividing the accumulated sums by the histogram of lag products. Then, the discrete Fourier transform of the turbulence autocovariance is computed, giving an estimate of the turbulence power spectra.

[1]  J. W. Tukey,et al.  The Measurement of Power Spectra from the Point of View of Communications Engineering , 1958 .

[2]  L. Shaw Spectral estimates from nonuniform samples , 1971 .

[3]  Elias Masry,et al.  Random Sampling and Reconstruction of Spectra , 1971, Inf. Control..

[4]  P. Welch The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms , 1967 .

[5]  C. Lorens,et al.  Recovery of Randomly Sampled Time Sequences , 1962 .

[6]  Jake K. Aggarwal,et al.  Randomly sampled digital filters , 1972 .

[7]  Rory O. R. Y. Thompson,et al.  Spectral Estimation from Irregularly Spaced Data , 1971 .

[8]  John L. Lumley,et al.  The laser-Doppler velocimeter and its application to the measurement of turbulence , 1973, Journal of Fluid Mechanics.

[9]  Richard H. Jones Spectrum estimation with missing observations , 1971 .

[10]  V. E. Benes,et al.  Statistical Theory of Communication , 1960 .

[11]  R Jackson,et al.  Measurement and Analysis of Random Data , 1967 .

[12]  J. Tukey,et al.  Modern techniques of power spectrum estimation , 1967, IEEE Transactions on Audio and Electroacoustics.

[13]  Frederick J. Beutler,et al.  Alias-free randomly timed sampling of stochastic processes , 1970, IEEE Trans. Inf. Theory.

[14]  Alan V. Oppenheim,et al.  Discrete representation of signals , 1972 .

[15]  D. G. Watts,et al.  Spectral analysis and its applications , 1968 .

[16]  I. Miller Probability, Random Variables, and Stochastic Processes , 1966 .

[17]  Paul I. Richards Computing reliable power spectra , 1967, IEEE Spectrum.