Two Algorithms Median Filtering to Identify the Time Series Trend

1. Kendall, M.G.: Design and analysis, and time-series. In: Kendall, M.G., Stuart, A. (eds.) The Advanced Theory Of Statistics, in Three Volumes, vol. 3, 4th edn. Oxford University Press, London (1987)

   Google Scholar 

2. Pollard, J.H.: A handbook of numerical and statistical techniques. In: Pollard, J.H., vol. 1, Aufl., XVI, 349 S. Cambridge University Press, Cambridge (1977)

   Google Scholar 

3. Brown, R.G.: Exponential smoothing for predicting demand. https://industrydocuments.library.ucsf.edu/tobacco/docs/jzlc0130. Accessed 11 Oct 2015

4. Brown, R.G.: Smoothing forecasting and prediction of discrete time series. In: Brown, R.G. p. cm. Reprint. Englewood Cliffs, NJ (1963)

   Google Scholar 

5. Tukey, W.J.: Exploratory data analysis, In: Tukey, W.J. (ed.) p. 688. Addison-Wesley, Reading (1977)

   Google Scholar 

6. Huang, T.S.: Two-dimensional digital signal processing II: transforms and median filters. In: Huang, T.S., Justusson, B.I., Nussbaum, H.J., Tyan, S.G., Zohar, S., (eds.) vol. XI, p. 224. Springer, Berlin (1981)

   Google Scholar 

7. Stork, M.: Median filters theory and applications. In: Stork, M. (ed.). http://www.emo.org.tr/ekler/2130c418d4f02c7_ek.pdf. Accessed 22 June 2015

8. Arias-Castro, E.: Does median filtering truly preserve edges better than linear filtering? Ann. Stat. 37(3), 1172–2009 (2009)

   Article  MathSciNet  MATH  Google Scholar 

9. Fried, R.: On the robust detection of edges in time series filtering. Comput. Stat. Data Anal. 52(2), 1063–1074 (2007)

   Article  MathSciNet  MATH  Google Scholar 

10. Kenneth, E.B.: Order statistic filtering and smoothing of time series, Part II. In: Barner, K.E., Arce, G.R. (eds.) Handbook of Statistics, vol. 17, pp. 555–602 (1998)

    Google Scholar 

11. Liu, S.: Combining pseudo-median filter and median filter to improve performance. In: Liu, S., Chen, L., Fan, X., Qu, Z., Yang, X. (eds.). http://www.meeting.edu.cn/meeting/UploadPapers/1281582612718.pdf. Accessed 22 June 2015

12. Lukin, V.V.: Adaptive dct-based 1-d filtering of poisson and mixed poisson and impulsive noise. In: Lukin, V.V., Fevralev, D.V., Abramov, S.K., Peltonen, S., Astola, J. (eds.). http://www.eurasip.org/Proceedings/Ext/NLA2008/papers/cr1002.pdf. Accessed 22 June 2015

13. Yin, L.: Weighted median filters: a tutorial. In: Yin, L., Yang, R., Gabbouj, M., Neuvo, Y. (eds.) IEEE Transactions on Circuits and Systems-11: Analog and Digital Signal Processing, vol. 43, pp. 157–192 (1996)

    Google Scholar 

14. Liu, Y.: A 1-D time-varying median filter for seismic random, spike-like noise elimination. Geophysics 74(1), V17–V24 (2009)

    Article  Google Scholar 

15. Chilingarian, A.: Median filtering algorithms for multichannel detectors. In: Chilingarian, A., Hovhannisyan, A., Mailyan, B (eds.). In Proceedings of the 31st icrc, Lodz 1. http://icrc2009.uni.lodz.pl/proc/html/

16. Pęksiński, J.: Estimation of the variance of the random component in the time series with digital smoothing. Logistyka 3, 5047–5052 (2014)

    Google Scholar 

17. Kemal, O.: Design and implementation of a single-chip 1-d median filter. Trans. Acoust. Speech Signal Process. 31(5), 1164–1168 (1983)

    Article  Google Scholar 

Download references