Digital Transmission by Hermite N-Dimensional Antipodal Scheme

dc.contributor.authorChongburee, Wachiraen
dc.contributor.committeechairPratt, Timothy J.en
dc.contributor.committeememberBostian, Charles W.en
dc.contributor.committeememberSweeney, Dennis G.en
dc.contributor.committeememberDavis, William A.en
dc.contributor.committeememberThangjitham, Suroten
dc.contributor.departmentElectrical and Computer Engineeringen
dc.date.accessioned2011-08-22T18:53:16Zen
dc.date.adate2004-03-01en
dc.date.available2011-08-22T18:53:16Zen
dc.date.issued2004-02-06en
dc.date.rdate2004-03-01en
dc.date.sdate2004-02-19en
dc.description.abstractA new N-dimensional digital modulation technique is proposed as a bandwidth efficient method for the transmission of digital data. The technique uses an antipodal scheme in which parallel binary data signs baseband orthogonal waveforms derived from Hermite polynomials. Orthogonality guarantees recoverability of the data from N simultaneously transmitted Hermite waveforms. The signed Hermite waveform is transmitted over a radio link using either amplitude or frequency modulation. The bandwidth efficiency of the amplitude Hermite method is found to be as good as filtered BPSK in practice, while the bit error rates for both modulations are identical. Hermite Keying (HK), the FM modulation version of the N-dimensional Hermite transmission, outperforms constant envelope FSK in terms of spectrum efficiency. With a simple FM detector, the bit error rate of HK is as good as that of non-coherent FSK. In a frequency selective fading channel, the simulation results suggest that specific data bits of HK are relatively secure from errors, which is beneficial in some applications. Symbol synchronization is critical to the system. An optimal synchronization method for the N-dimensional antipodal scheme in additive white Gaussian noise channel is derived. Simulation results confirm that the synchronizer can operate successfully at E/No of 3 dB.en
dc.description.degreePh. D.en
dc.format.mediumETDen
dc.identifier.otheretd-02192004-165437en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-02192004-165437en
dc.identifier.urihttp://hdl.handle.net/10919/11110en
dc.publisherVirginia Techen
dc.relation.haspartChongburee_Dissertation.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectAntipodal Schemeen
dc.subjectOrthogonal Waveformsen
dc.subjectHermite Keyingen
dc.subjectDigital Modulationen
dc.subjectOptimal Synchronizationen
dc.subjectN-dimensional PSDen
dc.titleDigital Transmission by Hermite N-Dimensional Antipodal Schemeen
dc.typeDissertationen
thesis.degree.disciplineElectrical and Computer Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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