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Design of Distribution Independent Noise Filters with Online PDF Estimation

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

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.

Keywords

  • Noise filter
  • Online PDF estimation
  • Signal Processing

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© 2012 Springer-Verlag Berlin Heidelberg

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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

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  • 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)