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Fourier transform communication system

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Published:13 October 1969Publication History

ABSTRACT

The development of rapid algorithms for computation of the discrete Fourier transform has encouraged the use of this transform in the design of communication systems. Here we describe and analyze a data transmission system in which the transmitted signal is the Fourier transform of the original data sequence and the demodulator is a discrete Fourier transformer. This system is a realization of the frequency division multiplexing strategy known as “parallel data transmission”, and it is constructed in this manner so that the data demodulator, after analog to digital conversion, may be a computer program employing one of the fast Fourier transform algorithms. The system appears attractive in that it may be entirely implemented by digital circuitry. We study the performance of this system in the presence of typical linear channel characteristics. It is shown, via computer simulation and computation of the variances of errors, how the system corrects linear channel distortion.

References

  1. 1.Powers, E. N. and Zimmerman, M. S., "TADIM - A Digital Implementation of a Multichannel Data Modem," 1968 IEEE Int. Conf. on Commun., pp. 706-711.Google ScholarGoogle Scholar
  2. 2.Saltzberg, B. R., "Performance of an Efficient Parallel Data Transmission System," IEEE Trans. on Comm. Tech., Vol. COM-15 No. 6, pp. 805-811, December 1967.Google ScholarGoogle Scholar
  3. 3.Chang, R. W. and Gibby, R. A., "A Theoretical Study of Performance of an Orthogonal Multiplexing Data Transmission Scheme," IEEE Trans. on Comm. Tech., Vol. COM-16 No. 4, pp. 529-540, August 1968.Google ScholarGoogle Scholar
  4. 4.Cooley, J. W. and Tukey, J. W., "An Algorithm for the Machine Calculation of Complex Fourier Series," Math. of Comput., Vol. 19, pp. 297-301, April 1965.Google ScholarGoogle ScholarCross RefCross Ref
  5. 5.G-AE Subcommittee on Measurements Concepts, "What is the Fast Fourier Transform," IEEE Trans. on Audio and Electroacoustics, Vol. AU-15, No. 2, pp. 45-55, June 1967.Google ScholarGoogle Scholar
  6. 6.Lucky, R. W., Salz, J., Weldon, E. J., Principles of Data Communication, Chapter 6, McGraw-Hill, 1968.Google ScholarGoogle Scholar

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          cover image ACM Conferences
          Proceedings of the first ACM symposium on Problems in the optimization of data communications systems
          October 1969
          421 pages
          ISBN:9781450374743
          DOI:10.1145/800165

          Copyright © 1969 ACM

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          Publication History

          • Published: 13 October 1969

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