Skip to main content

Design of Distribution Independent Noise Filters with Online PDF Estimation

  • Conference paper
Neural Information Processing (ICONIP 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7663))

Included in the following conference series:

Abstract

This paper presents on-line unsupervised schemes for de-noising the received signal containing additive multimodal non-Gaussian noise, using concepts of probability density function estimation and dynamic state estimation. Novel on-line probability density estimation techniques, using various unsupervised kernel based methods are presented. The proposed methods are stable, based on simple but flexible representations and are computationally tractable in real time. Various experiments are included to demonstrate that the proposed filters can efficiently denoise sinusoidal and amplitude modulated sinusoidal signals immersed in unimodal as well as multimodal Gaussian-exponential noise with very low signal-to-noise ratio. The proposed filters significantly outperform the popular unscented Kalman filter and handle non-zero mean non-Gaussian multimodal noise in a more effective way. Most importantly, the proposed methods do not need any prior assumption about the nature of noise or signal.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Wan, E., Merwe, R.V.D.: The Unscented Kalman Filter. In: Kalman Filtering and Neural Networks, pp. 221–280. Wiley (2001)

    Google Scholar 

  2. Li, T.H., Song, K.S.: Estimation of the Parameters of Sinusoidal Signals in Non-gaussian Noise. IEEE Trans. Signal Process. 57(1), 62–72 (2009)

    Article  MathSciNet  Google Scholar 

  3. Aysal, T., Barner, K.: Hybrid Polynomial Filters for Gaussian and Non-gaussian Noise Environments. IEEE Trans. Signal Process. 54(12), 4644–4661 (2006)

    Article  Google Scholar 

  4. Gordon, N., Salmond, D., Smith, A.: Novel Approach to Nonlinear/non-gaussian Bayesian State Estimation. IEE Pro. F Radar Signal Process. 140(2), 107–113 (1993)

    Article  Google Scholar 

  5. Chen, S., Hong, X., Harris, C.J.: Probability Density Estimation with Tunable Kernels Using Orthogonal forward regression. Trans. SMC-B 40, 1101–1114 (2010)

    Google Scholar 

  6. Richard, C., Bermudez, J., Honeine, P.: Online Prediction of Time Series Data with Kernels. IEEE Trans. Signal Process. 57(3), 1058–1067 (2009)

    Article  Google Scholar 

  7. Behera, L., Sundaram, B.: Stochastic Filtering and Speech Enhancement Using a Recurrent Quantum Neural Network. In: Proceedings of International Conference on Intelligent Sensing and Information Processing, pp. 165–170 (2004)

    Google Scholar 

  8. Behera, L., Kar, I.: Quantum Stochastic Filtering. In: 2005 IEEE International Conference on Systems, Man and Cybernetics, vol. 3, pp. 2161–2167 (2005)

    Google Scholar 

  9. Bishop, C.M.: Pattern Recognition and Machine Learning (Information Science and Statistics), 1st edn (2006); corr. 2nd printing edn. Springer (2007)

    Google Scholar 

  10. Dat, T.H., Takeda, K., Itakura, F.: On-line Gaussian Mixture Modeling in the Log-power Domain for Signal-to-noise Ratio Estimation and Speech Enhancement. Speech Commun. 48(11), 1515–1527 (2006)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Arora, V., Behera, L. (2012). Design of Distribution Independent Noise Filters with Online PDF Estimation. In: Huang, T., Zeng, Z., Li, C., Leung, C.S. (eds) Neural Information Processing. ICONIP 2012. Lecture Notes in Computer Science, vol 7663. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34475-6_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34475-6_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34474-9

  • Online ISBN: 978-3-642-34475-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics