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Optimal digital filter design for dispersed signal equalization


Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/3286

Optimal digital filter design for dispersed signal equalization

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dc.contributor.author Mihalik, Andrew
dc.date.accessioned 2007-09-09T06:35:02Z
dc.date.available 2007-09-09T06:35:02Z
dc.date.issued 2007-09-09T06:35:02Z
dc.date.submitted July 2007
dc.identifier.uri http://hdl.handle.net/1928/3286
dc.description.abstract Any signal a satellite receives from Earth has traveled through the ionosphere. Transmission through the ionosphere results in a frequency dependent time-delay of the signal frequency components. This effect of the medium on the signal is termed dispersion, and it increases the difficulty of pulse detection. A system capable of compensating for the dispersion would be desirable, as pulsed signals would be more readily detected after compression. In this thesis, we investigate the derivation of a digital filter to compensate for the dispersion caused by the ionosphere. A transfer function model for the analysis of the ionosphere as a system is introduced. Based on the signal model, a matched filter response is derived. The problem is formulated as a group delay compensation effort. The Abel-Smith algorithm is employed for the synthesis of a cascaded allpass filter bank with desired group delay characteristics. Extending this work, an optimized allpass filter is then derived using a pole location approach. A mean-square error metric shows that the optimized filter can reproduce, and even improve upon, the results of the Abel-Smith design with a significantly lower order filter. When compared against digital filters produced with the least p-th minimax algorithm, we find that the new method exhibits significantly lower error in the band of interest, as well as lower mean squared error overall. The result is a simple optimized equalization filter that is stable, robust against cascading difficulties, and applicable to arbitrary waveforms. This filter is the cornerstone to a new all-digital electromagnetic pulse detection system. en_US
dc.format.extent 1141824 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US en_US
dc.subject Optimal en_US
dc.subject Equalization en_US
dc.subject Dispersion en_US
dc.subject Digital en_US
dc.subject Ionosphere en_US
dc.subject Filter en_US
dc.subject Optimization en_US
dc.subject Dispersed en_US
dc.subject Trust Region en_US
dc.subject Satellite en_US
dc.subject refraction en_US
dc.subject allpass en_US
dc.subject biquad en_US
dc.subject bi-quad en_US
dc.subject dispersive en_US
dc.subject group delay en_US
dc.subject pole en_US
dc.subject zero en_US
dc.subject pulse en_US
dc.subject frequency en_US
dc.subject cascade en_US
dc.subject matched en_US
dc.subject.lcsh Signal processing
dc.title Optimal digital filter design for dispersed signal equalization en_US
dc.type Thesis en_US
dc.description.degree Master of Science Electrical Engineering en
dc.description.level Masters en
dc.description.department University of New Mexico. Dept. of Electrical and Computer Engineering en
dc.description.advisor Pattichis, Marios
dc.description.committee-member Doerry, Armin
dc.description.committee-member Christodoulou, Christos

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