MULTI-RESOLUTION BASED DISCRETE WAVELET TRANSFORM FOR ENHANCED SIGNAL COVERAGE PROCESSING AND PREDICTION ANALYSIS
Abstract
Wavelet transform methods are extensively employed to transform signal dataset into different components for effective spatial signal power processing and modelling. In this work, a distinctive multi-resolution discrete wavelet transform algorithm is explored for enhanced processing and decomposition of measured signal power coverage data acquired from operation LTE cellular communication networks. The effectiveness of Symlets (sym) and Daubechies (db) wavelets under five decomposition levels are analyzed based on five quantitative evaluation parameters: root mean square error (RMSE), signal to error reconstruction ratio, (SRER), Pulse amplitude demodulation (PAD), Coefficient of correlation (R) and standard deviation (STD). The results that multi-resolution based processed signal with sym3 wavelet under decomposition level 4 is best compared to others, in terms of the computed statistical indices. The above best performance with sym3 can be attributed to their excellent denoising property of the entire symlets wavelet family. Besides, the obtained results reveal that the choice of wavelet thresholding technique and level of decomposition also significantly impact the sensitivity and reliability of data-driven predictive analytics with adaptive polynomial
References
Donoho, D. L., & J. M. Johnstone., (1994). Ideal spatial adaptation via wavelet shrinkage, Biometrika, 81(3), 425–455, doi:10.1093/biomet/81.3.425.
Ebhota, V.C, Isabona, J, & Srivastava, V.M. (2018), Improved Adaptive Signal Power loss Prediction using Combined Vector Statistics based Smoothing and Neural Network approach, Progress in Electromagnetic Research C, 82, 155–169.
Galiano, G. & Velasco, J. (2015). Rearranged nonlocal filters for signal denoising, Mathematics and Computers in Simulation, 118, 213–223.
Gautier, M., Arndt, M., & Lienard, J., (2007). Efficient wavelet packet modulation for wireless communication. The Third Advanced International Conference on Telecommunications, AICT 2007, May 13-19, Mauritius. DOI: 10.1109/AICT.2007.21.
Isabona, J, & Ojuh, D. O. (2017). Wavelet Selection Based on Wavelet Transform for optimum Noisy Signal Processing, International Journal of Basic and Applied Sciences, 3(1), 57-65.
Lahmiri, S. & Boukadoum, M. A (2015). Weighted bio-signal denoising approach using empirical mode decomposition. Biomedical Engineering Letters. 5(2), 131–139.
Lahmiri, S. A., (2014). Comparative study of ECG signal denoising by wavelet thresholding in empirical and Variational mode Decomposition domains, Healthcare Technology Letters. 1(3), 104–109.
Mallat, S.G., (1988). Theory for Multiresolution Signal Decomposition: The Wavelet Representation, IEEE Transaction on pattern Analysis and Machine Intelligence, vol. 11, No.7, pp. 974-993.
Obahiagbon, K & Isabona, J. (2018). Generalized Regression Neural Network: an Alternative Approach for Reliable Prognostic Analysis of Spatial Signal Power Loss in Cellular Broadband Networks, International Journal of Advanced Research in Physical Science, 5 (10), 35-42.
Ojuh, D. O. & Isabona, J. (2018). Optimum Signal Denoising based on Wavelet Shrinkage Thresholding Techniques: White Gaussian Noise and White Uniform Noise case Study, Journal of Scientific and Engineering Research, 5 (6), 179-186.
Rajbhandari, S., Ghassemlooy Z., & Angelova. M., (2009). Effective denoising and adaptive equalization of indoor optical wireless channel with artificial light using the discrete wavelet transform and artificial neural network. IEEE-Journal of Lightwave Technology, 27(20): 4493-4500. DOI: 10.1109/JLT.2009.2024432
Renisha, G and Jayasree, T. (2015). Enhancement of Speech Signals in a Noisy Environment based on Wavelet based Adaptive Filtering, International Journal of Signal Processing, Image Processing and Pattern Recognition, 9, 69-76, http://dx.doi.org/10.14257/ijsip.2015.8.9.07
Sharmila & Geethanjali, P. (2016). Detection of Epileptic Seizure from Electroencephalogram Signals Based on Feature Ranking and Best Feature Subset Using Mutual Information Estimation, J. Med. Imaging Health Inf. 6, 1850–1864.
To, A. C., Moore, J. R., & Glaser, S. D., (2009), Wavelet denoising techniques with applications to experimental geophysical data, Signal Process., 89, 144–160, doi:10.1016/j.sigpro.2008.07.023.
Wang, Z., Wan, F., Wong, C. M. & Zhang, M (2016). Adaptive Fourier decomposition based ECG denoising, Computers in Biology and Medicine, 77, 195–205.
Wu, S. C., Shen, Y. & Zhou, Z. et al. (2013). Research of fetal ECG extraction using wavelet analysis and adaptive filtering, Computers in Biology and Medicine. 43, 1622–1627.
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