Denoising of Radar Pulse Streams With Autoencoders

There are many cases in which the noise corrupts the signals in a significant manner. To better analyze these signals, the noise must be removed from the signals for further data analysis, and the process of noise removal is referred to as denoising. In this letter, we propose a novel approach to the pulse denoising problem by extracting features from time of arrival (TOA) sequences using the autoencoders. The noise-contaminated TOA sequence is first coded into a binary vector and then fed into an autoencoder for training. Then, the trained autoencoder is capable of generating the original TOA sequence without lost and spurious pulses. Moreover, the proposed method does not require a noise-free TOA sequence as a priori as with conventional autoencoders. Simulation results show that the new technique can deal with TOA sequences with complex pulse repetition interval (PRI) modes that have not been tackled before. In addition, the proposed method has a better performance in noisy environments than conventional methods and general deep neural network structures.

[1]  Tapani Raiko,et al.  Semi-supervised Learning with Ladder Networks , 2015, NIPS.

[2]  Masaaki Kobayashi,et al.  Improved algorithm for estimating pulse repetition intervals , 2000, IEEE Trans. Aerosp. Electron. Syst..

[3]  Philip S. Yu,et al.  Classification, Denoising, and Deinterleaving of Pulse Streams With Recurrent Neural Networks , 2019, IEEE Transactions on Aerospace and Electronic Systems.

[4]  Ingrid Daubechies,et al.  The wavelet transform, time-frequency localization and signal analysis , 1990, IEEE Trans. Inf. Theory.

[5]  Yi Shen,et al.  Noise level estimation method with application to EMD-based signal denoising , 2016 .

[6]  Manuel Blanco-Velasco,et al.  ECG signal denoising and baseline wander correction based on the empirical mode decomposition , 2008, Comput. Biol. Medicine.

[7]  Seunghoon Hong,et al.  Learning Deconvolution Network for Semantic Segmentation , 2015, 2015 IEEE International Conference on Computer Vision (ICCV).

[8]  A. G. Self Electronic Intelligence: the Analysis of Radar Signals , 1985 .

[9]  Mario Fritz,et al.  Deep Reflectance Maps , 2015, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[10]  Usman Ali,et al.  Closed-Form BER Expression for Fourier and Wavelet Transform-Based Pulse-Shaped Data in Downlink NOMA , 2019, IEEE Communications Letters.

[11]  Scott E. Reed,et al.  Weakly-supervised Disentangling with Recurrent Transformations for 3D View Synthesis , 2015, NIPS.

[12]  Hugh Griffiths,et al.  ELINT: the Interception and Analysis of Radar Signals R.G. Wiley Artech House, 46 Gillingham Street, London, SW1V 1AH. 2006. 451pp. Illustrated. £82.00. ISBN 1-58053-925-4. , 2007, The Aeronautical Journal (1968).

[13]  Wenlong Liu,et al.  Denoising Detection for the Generalized Spatial Modulation System Using Sparse Property , 2014, IEEE Communications Letters.

[14]  Gabriel Rilling,et al.  Empirical mode decomposition as a filter bank , 2004, IEEE Signal Processing Letters.

[15]  H. K. Mardia New techniques for the deinterleaving of repetitive sequences , 1989 .

[16]  Aleksandra Pizurica,et al.  Combined Wavelet-Domain and Motion-Compensated Video Denoising Based on Video Codec Motion Estimation Methods , 2009, IEEE Transactions on Circuits and Systems for Video Technology.

[17]  Karen O. Egiazarian,et al.  Video denoising by sparse 3D transform-domain collaborative filtering , 2007, 2007 15th European Signal Processing Conference.

[18]  Nikhil Ketkar,et al.  Introduction to PyTorch , 2021, Deep Learning with Python.

[19]  Richard Baraniuk,et al.  The Dual-tree Complex Wavelet Transform , 2007 .

[20]  Yehoshua Y. Zeevi,et al.  Image enhancement and denoising by complex diffusion processes , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[21]  Patrick Flandrin,et al.  A complete ensemble empirical mode decomposition with adaptive noise , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[22]  Jean-Michel Morel,et al.  A non-local algorithm for image denoising , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).