Faghih, Nezameddin and Faghih, Ali (2008): Nyquist Frequency in Sequentially Sampled Data.
Download (79kB) | Preview
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|
|Keywords:||Nyquist Freqency; cut-off 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 - Time-Series 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
|Depositing User:||Nezameddin Faghih|
|Date Deposited:||27. Mar 2009 03:22|
|Last Modified:||12. Feb 2013 21:19|
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, 145-52.
2 - Willis, N.P. and Bresler, Y.(1992), “A New Approach to the Time-Sequential Sampling Problem”, Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, 3, 277-80.
3 - Allebach, J.P. (1984), “Design of Antialiasing Patterns for Time-Sequential 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 Micro-Delcon Delaware Bay Computer Conference, 9-13.
5 - Aizawa, A.N. and Wah, B.W. (1994), “A Sequential Sampling Procedure for Genetic Algorithms”, Computer and Mathematics with Applications, 27, 9-10, 77-82.
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, 499-509.
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, 489-509.
8 - Bendat, J.S. and Piersol, A.G. (1986), “Random Data: Analysis and Measurement Procedures”, Wiley-Interscience.
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”, McGraw-Hill.
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.