Abstract
The relative performance of the current methods for frequency and phase measurements is analyzed in this paper. These methods include the time domain processors (namely the counter and the covariance processors) and the frequency domain processor using the Fourier transform (for the actual signal or for its correlation function). It can be shown that the Fourier transform method gives the optimum frequency and phase estimation in terms of the Maximum Likelihood criteria (ML). The quantization effect is also analyzed and it is shown that 1 bit quantization provides sufficient accuracy for laser Doppler velocimeter applications and, in general, for any application where a single tone parameter estimation is of interest.
Finally, a practical implementation of a frequency domain Doppler signal processor will be described. The processor implementation is based on 1-bit sampling, quadrature mixing, and several innovative methods for signal to noise optimization. The advantages of using 1-bit over multibit sampling for processing speed improvement and data storage reduction will be discussed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Rife D.C and Boortstyn R.R., “Single Tone Parameter Estimation from Discrete Time Observations”, IEEE trans, on Information Theory, Vol, 20 No. 5, Sept. 1974, pp. 591–598.
Key S.M. and Marple S.L.JR., “Spectral Analysis, A Modern Prespective”., Proc. of the IEEE, Vol. 69, No. 11, Nov. 1981, PP. 1380–1419.
Wriedt T. and Bauckhage K.A., and Schone, A., “Application of the Fourier Analysis to Phase Doppler Signal Correlated by Rough Metal Particles”, IEEE trans, on Instrumentation and Measurement, Vol. 38, No. 5, Oct. 1989, PP. 984–990.
Miller K.S, and Rochwarger, “A Covariance Approach to Moment Spectral Estimation”, IEEE trans, on Information Theory, Vol. 18, No. 5, Sept. 72, PP. 588–596.
Lading L., Anderson K. and Saffman M, “A Covariance Processor for Velocity and Size Measurement”, Fourth Int. Conf. on Laser Anemometry and Applications July 1988.
Lading L., Andersen K., “Estimating Frequency and Phase for Velocity and Size Measurement”, Third Int. Conf. on Laser Anemometry and Applications. Sept. 1989.
Rife D.C. and Vincent G.A., “The Use of the Discrete Fourier Transform in the Measurement of Frequncies and Levels of Tones”, The Bell System Technical Journal Feb. 1970, PP-197–228.
Domnik J., Ertel H. and Tropea C., “Processing of Phase/Doppler Signals Using The Cross Spectral Density Function”, Fourth Int. Conf. on Laser Anemometry and Applications, July 1988.
Popoulis A., “Probabiltiy, Random Variable and Stochastic Processes”, McGraw-Hill, New York.
Kalb H.T. and Crosswy F.L., “Discrete Fourier Transform Signal Processor for Laser Velocimetry”, AEDC Report No. TR-83–46, Dec. 1983.
Bachalo W.D., Werthimer D., Raffanti R. and Hermes R.J., “A High Speed Doppler Signal Processor for Frequency and Phase Measurement”., Third Int. Conf. on Laser Anemometry, Advances and Applications, Sept. 1989.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin, Heidelberg
About this paper
Cite this paper
Ibrahim, K.M., Werthimer, G.D., Bachalo, W.D. (1991). Signal Processing Considerations for Laser Doppler and Phase Doppler Applications. In: Adrian, R.J., Durão, D.F.G., Durst, F., Maeda, M., Whitelaw, J. (eds) Applications of Laser Techniques to Fluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61254-1_15
Download citation
DOI: https://doi.org/10.1007/978-3-642-61254-1_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64763-5
Online ISBN: 978-3-642-61254-1
eBook Packages: Springer Book Archive