A Maximum Likelihood Receiver for an Orthogonally Multiplexed QAM System

A maximum likelihood receiver for an orthogonally multiplexed QAM (OQAM) system has been derived based on the mathematical structure of an OQAM signal. The resulting receiver provides the minimum variance estimates of carrier and timing phases under the disturbance caused by not only Gaussian noise but also random data. It has also been proven that the carrier and timing joint control system is asymptotically stable almost everywhere in a state space. The equilibrium points are where the parallel synchronization over all subchannels in the OQAM system is established. Simulations have been carried out in order to verify the maximum likelihood receiver performances, where 9600 bit/s data are transmitted over 750-2450 Hz voiceband with 8×8 staggered QAM signal constellations. It has been shown that sufficient eye opening is obtained under 10 Hz carrier frequency offset and 10-4timing frequency stability.

[1]  W. M. Carey,et al.  Digital spectral analysis: with applications , 1986 .

[2]  R. Chang.  Synthesis of band-limited orthogonal signals for multichannel data transmission , 1966 .

[3]  Richard D. Gitlin,et al.  Timing recovery in PAM systems , 1971 .

[4]  J. Makhoul,et al.  Linear prediction: A tutorial review , 1975, Proceedings of the IEEE.

[5]  R. Cuninghame-Green,et al.  Applied Linear Algebra , 1979 .

[6]  R.E. Ziemer,et al.  Digital and analog communication systems , 1981, Proceedings of the IEEE.

[7]  Hisashi Kobayashi.  Simultaneous Adaptive Estimation and Decision Algorithm for Carrier Modulated Data Transmission Systems , 1971 .

[8]  A. Kaye,et al.  Transmission of Multiplexed PAM Signals Over Multiple Channel and Diversity Systems , 1970 .

[9]  J.E. Mazo,et al.  Digital communications , 1985, Proceedings of the IEEE.

[10]  G. Beylkin,et al.  On the representation of operators in bases of compactly supported wavelets , 1992 .

[11]  C.E. Shannon,et al.  Communication in the Presence of Noise , 1949, Proceedings of the IRE.

[12]  B. Hirosaki.  Generalized differential coding theorem and its applications , 1984 .

[13]  S. Weinstein,et al.  Data Transmission by Frequency-Division Multiplexing Using the Discrete Fourier Transform , 1971 .

[14]  M. H. Heycock,et al.  Papers , 1971, BMJ : British Medical Journal.

[15]  B. Hirosaki.  An Analysis of Automatic Equalizers for Orthogonally Multiplexed QAM Systems , 1980, IEEE Trans. Commun..

[16]  L. H. Loomis.  An Introduction to Abstract Harmonic Analysis , 1953 .

[17]  I. M. Jacobs,et al.  Principles of Communication Engineering , 1965 .

[18]  W. van Etten,et al.  Maximum Likelihood Receiver for Multiple Channel Transmission Systems , 1976, IEEE Trans. Commun..

[19]  C. D. McGillem,et al.  Modern Communications And Spread Spectrum , 1985 .

[20]  David D. Falconer,et al.  Optimal reception of digital data over the Gaussian channel with unknown delay and phase jitter , 1977, IEEE Trans. Inf. Theory.

[21]  M. Meyers,et al.  Joint Carrier Phase and Symbol Timing Recovery for PAM Systems , 1980, IEEE Trans. Commun..

[22]  F. Mintzer,et al.  On half-band, third-band, and Nth-band FIR filters and their design , 1982 .

[23]  W. van Etten.  An Optimum Linear Receiver for Multiple Channel Digital Transmission Systems , 1975, IEEE Trans. Commun..

[24]  J.B. Allen,et al.  A unified approach to short-time Fourier analysis and synthesis , 1977, Proceedings of the IEEE.

[25]  Toby Berger,et al.  Optimum pulse amplitude modulation-I: Transmitter-receiver design and bounds from information theory , 1967, IEEE Trans. Inf. Theory.

[26]  M. Portnoff.  Time-frequency representation of digital signals and systems based on short-time Fourier analysis , 1980 .

[27]  A. J. Jerri.  Correction to "The Shannon sampling theorem—Its various extensions and applications: A tutorial review" , 1979 .

[28]  R. Maruta,et al.  An Improved Method for Digital SSB-FDM Modulation and Demodulation , 1978, IEEE Trans. Commun..

[29]  Tunc Geveci,et al.  Advanced Calculus , 2014, Nature.

[30]  F. Harris.  On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[31]  A. Grossmann,et al.  DECOMPOSITION OF HARDY FUNCTIONS INTO SQUARE INTEGRABLE WAVELETS OF CONSTANT SHAPE , 1984 .

[32]  Thomas W. Parks,et al.  Time-varying filtering and signal estimation using Wigner distribution synthesis techniques , 1986, IEEE Trans. Acoust. Speech Signal Process..

[33]  B. Hirosaki,et al.  An Orthogonally Multiplexed QAM System Using the Discrete Fourier Transform , 1981, IEEE Trans. Commun..

[34]  R. D. Gitlin,et al.  Fractionally-spaced equalization: An improved digital transversal equalizer , 1981, The Bell System Technical Journal.