Abstract
An explicit formula is developed for the pulse which, when convolved with itself, yields the well-known quasibandlimited Nyquist pulse for data transmission. As expected, the newly derived pulse produces zero intersymbol interference at theoutput of a filter matched to itself. Comparisons are offered with the well-known class of root raised cosine pulses.
Similar content being viewed by others
References
F. Amoroso and M. Montagnana, “Distortionless data transmission with minimum peak voltage”, IEEE Transactions on Information Theory, Vol. IT-13, No. 3, pp. 470–477, 1967.
L. E. Franks, “Further results on Nyquist's problem in pulse transmission”, IEEE Transactions on Communications, Vol. COM-16, No. 2, pp. 337–340, 1968.
C. H. Muravchik and J. R. Guisantes, “Optimized signaling waveforms to reduce the effects of intersymbol interference and timing jitter”, IEEE Transactions on Communications, Vol. 43, No. 1, pp. 11–14, 1995.
E. S. Sousa and S. Pasupathy, “Pulse shape design for teletext data transmission, IEEE Transactions on Communications, Vol. COM-31, No. 7, pp. 871–878, 1983.
F. Amoroso, “The use of quasi-bandlimited pulses in MSK transmission”, IEEE Transactions on Communications, Vol. COM-27, No. 10, pp. 1616–1624, 1979.
F. Amoroso, “The bandwidth of digital data signals”, IEEE Communications Magazine”, Vol. 18, No. 6, pp. 13–24, 1980.
J.-S. Seo and K. Feher, “SQAM: A new superposed QAM modem technique”, IEEE Transactions on Communications, Vol. COM-33, No. 3, pp. 296–300, 1985.
L. B. W. Jolley, Summation of Series, New York: Dover Publications, p. 180, no. 973, 1961.
J. G. Proakis, Digital Communications, New York: McGraw-Hill, Section 6.2.1, 1983.
Mac E. Van Valkenburg, Editor, Reference Data for Engineers: Radio Electronics, Computer, and Communications, Carmel (IN): Sams, Eighth Edition, Chapter 7, 1993.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Amoroso, F. On the convolutional square root of a Nyquist pulse. Wireless Pers Commun 1, 287–290 (1994). https://doi.org/10.1007/BF01098872
Issue Date:
DOI: https://doi.org/10.1007/BF01098872