Time frequency distributions approaches for incomplete non stationary signals
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Time frequency distributions approaches for incomplete non stationary signals
Time-Frequency Distributions:Approaches for Incomplete Noil-Stationary SignalsUNIVERSITY OF LEEDSYen NguyenSubmitted ill accordance with the requireme Time frequency distributions approaches for incomplete non stationary signals ents for the degree of Doctor of PhilosophyUniversity of LeedsDepartment of Electronics and Electrical Engineering43140DeclarationThis work in this thesis is based on research carried out. at the Institute of Integrated Information Systems, School of Electronic and Electrical Engineering, iyCcds Uni Time frequency distributions approaches for incomplete non stationary signals versity, UK. The candidate confirms that no part of this thesis has been submitted elsewhere for any other degree or qualification mid it is all her oTime frequency distributions approaches for incomplete non stationary signals
wn work except where work which has formed part of jointly aut hored publications.Ì his copy has been supplied on the understanding that it is copyrigTime-Frequency Distributions:Approaches for Incomplete Noil-Stationary SignalsUNIVERSITY OF LEEDSYen NguyenSubmitted ill accordance with the requireme Time frequency distributions approaches for incomplete non stationary signals n.“The right of Yen Nguyen to be identified as the author of this work has been asserted by herself in accordance with the Copyright, Designs and Patents Act 1988.”This thesis is dedicated to my family for their immense love mid support.AcknowledgementsFirstly, I would like to express my sincere gra Time frequency distributions approaches for incomplete non stationary signals titude to my two supervisors Dr. Des McLernon and Professor Mounir Ghogho for t he continuous support of my Ph.l) study and related research, and alsoTime frequency distributions approaches for incomplete non stationary signals
for their patience. motivation, and immense knowledge. Their guidance helped me through both my research and the writing of this thesis. Without theiTime-Frequency Distributions:Approaches for Incomplete Noil-Stationary SignalsUNIVERSITY OF LEEDSYen NguyenSubmitted ill accordance with the requireme Time frequency distributions approaches for incomplete non stationary signals ood and bad times.Secondly. 1 would like to express my deep gratitude to Professor Moencss Amin and all the staff in the university of Villanova, USA for their support and supervision. They have provided inc with both the foundations and thí' cutting-edge knowledge of time-frequency analysis. Profes Time frequency distributions approaches for incomplete non stationary signals sor Moeness Amin oriented me towards a specific research topic and this contributor! significantly to my final results. It was a significant breakthroTime frequency distributions approaches for incomplete non stationary signals
ugh in my PhD work to meet and collaborate with them in the USA.I thank my follow lab-mates in room 3.62, School of Electronic and Electrical. for theTime-Frequency Distributions:Approaches for Incomplete Noil-Stationary SignalsUNIVERSITY OF LEEDSYen NguyenSubmitted ill accordance with the requireme Time frequency distributions approaches for incomplete non stationary signals to specifically thank Asma, Ali, Mohanad. Edmond, Tuan. Miaomiao and Naveed for all the precious things we have shared.Last but not the least, I would like to thank my family: my parents, my sister and my husband for supporting me both spiritually throughout writing this thesis and in my life in gen Time frequency distributions approaches for incomplete non stationary signals eral.https://khothuvien.cori!AbstractThere arc many sources of waveforms or signals existing around US. They can be natural phenomena such as sound, lTime frequency distributions approaches for incomplete non stationary signals
ight and invisible like electromagnetic fields, voltage, etc. Getting an insight into these waveforms helps explain the mysteries surrounding our worlTime-Frequency Distributions:Approaches for Incomplete Noil-Stationary SignalsUNIVERSITY OF LEEDSYen NguyenSubmitted ill accordance with the requireme Time frequency distributions approaches for incomplete non stationary signals nalysis cannot provide a time-dependent spectrum description for spectrum-varying signals-non-stationary signal. In these cases, time-frequency distributions are employed instead of the traditional Fourier transform. There have been a variety of methods proposed to obtain the time-frequency represen Time frequency distributions approaches for incomplete non stationary signals tations (TFRs) such as the spectrogram or the Wigner-Ville distribution. rhe time-frequency distributions (TFDs), indeed, offer ILS a better signal inTime frequency distributions approaches for incomplete non stationary signals
terpretation in a two-dimensional time-frequency plane, which thí' Fourier transform fails to give. Nevertheless, in the case of incomplete data, the Time-Frequency Distributions:Approaches for Incomplete Noil-Stationary SignalsUNIVERSITY OF LEEDSYen NguyenSubmitted ill accordance with the requireme Time frequency distributions approaches for incomplete non stationary signals be used for further data processing. In this thesis, we propose two methods to deal with compressed observations. The first one applies compressive sensing with a novel chirp dictionary. This method assumes any windowed signal can be approximated by a sum of chirps, and then performs sparse reconst Time frequency distributions approaches for incomplete non stationary signals ruction from windowed data in the time domain. A few improvements in computational complexity are also included. In the second method, fixed kernel asTime frequency distributions approaches for incomplete non stationary signals
well as adaptive optimal kernels are used. This work is also based on the assumption that any windowed signal can be approximately represented by a sTime-Frequency Distributions:Approaches for Incomplete Noil-Stationary SignalsUNIVERSITY OF LEEDSYen NguyenSubmitted ill accordance with the requiremeTime-Frequency Distributions:Approaches for Incomplete Noil-Stationary SignalsUNIVERSITY OF LEEDSYen NguyenSubmitted ill accordance with the requiremeGọi ngay
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