Faghih, Nezameddin and Faghih, Ali (2008): Nyquist Frequency in Sequentially Sampled Data.

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Abstract
This paper studies the sequential sampling scheme as a solution to the problem of aliasing, where the sampling interval is restricted to a minimum allowable value. Sequential sampling is analyzed and it is proved that when the sampling ratio is an integral number, the associated spectral estimates give a Nyquist frequency . This sampling scheme can, therefore, be employed to yield a required cut off frequency.
Item Type:  MPRA Paper 

Original Title:  Nyquist Frequency in Sequentially Sampled Data 
Language:  English 
Keywords:  Nyquist Freqency; cutoff frequency; Sequential Sampling; Spectral Density Function 
Subjects:  C  Mathematical and Quantitative Methods > C5  Econometric Modeling > C51  Model Construction and Estimation C  Mathematical and Quantitative Methods > C2  Single Equation Models; Single Variables > C24  Truncated and Censored Models; Switching Regression Models C  Mathematical and Quantitative Methods > C3  Multiple or Simultaneous Equation Models; Multiple Variables > C35  Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C13  Estimation: General E  Macroeconomics and Monetary Economics > E3  Prices, Business Fluctuations, and Cycles > E32  Business Fluctuations; Cycles C  Mathematical and Quantitative Methods > C5  Econometric Modeling > C53  Forecasting and Prediction Methods; Simulation Methods C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods C  Mathematical and Quantitative Methods > C2  Single Equation Models; Single Variables > C23  Models with Panel Data; Longitudinal Data; Spatial Time Series C  Mathematical and Quantitative Methods > C2  Single Equation Models; Single Variables > C22  TimeSeries Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C15  Statistical Simulation Methods: General B  History of Economic Thought, Methodology, and Heterodox Approaches > B4  Economic Methodology > B41  Economic Methodology C  Mathematical and Quantitative Methods > C0  General > C01  Econometrics 
Item ID:  14311 
Depositing User:  Nezameddin Faghih 
Date Deposited:  27. Mar 2009 03:22 
Last Modified:  12. Feb 2013 21:19 
References:  1  Wirth, W.D. (1995), “Energy Saving by Coherent Sequential Detection of Radar Signals with Unknown Doppler Shift”, IEE Proceedings on Radar, Sonar and Navigation, 142, 14552. 2  Willis, N.P. and Bresler, Y.(1992), “A New Approach to the TimeSequential Sampling Problem”, Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, 3, 27780. 3  Allebach, J.P. (1984), “Design of Antialiasing Patterns for TimeSequential Sampling of Spatiotemporal Signals”, IEEE Transactions on Acoustics, Speech and Signal Processing, 32, 1, 137 44. 4  Allebach, J.P. (1981), “Design of Sampling Patterns for Time Sequential Sampling of Spatio Temporal Signals”, Proceedings of MicroDelcon Delaware Bay Computer Conference, 913. 5  Aizawa, A.N. and Wah, B.W. (1994), “A Sequential Sampling Procedure for Genetic Algorithms”, Computer and Mathematics with Applications, 27, 910, 7782. 6  Gaster, M. and Bradbury, L.J.S. (1976), “The Measurement of the Spectra of Highly Turbulent Flows by a Randomly Triggered Pulsed Wire Anemometer”, J. Fluid Mech, 77, 499509. 7  Bradbury, L.J.S. (1978), “Examples of the Use of the Pulsed Wire Anemometer in Highly Turbulent Flow”, Proceedings of the Dynamic Flow Conference, Marseille, 489509. 8  Bendat, J.S. and Piersol, A.G. (1986), “Random Data: Analysis and Measurement Procedures”, WileyInterscience. 9  Saucedo, R. and Schiring, E. (1968), “Introduction to Continuous and Digital Control Systems”, Macmillan. 10  Papoulis, A. (1962), “The Fourier Integral and its Applications”, McGraw Hill. 11  Oppenheim, A.V. et al (1983), “Signals and Systems”, Prentice Hall. 12  Carlson, A.B. (1986), “Communication Systems”, McGrawHill. 13  Jones, R.H. and Steele, N.C. (1989), “Mathematics in Communication Theory”, Ellis Horwood Publishers. 14  Steward, E.G. (1989), “Fourier Optics: an Introduction”, Ellis Horwood Publishers. 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/14311 