Improving Error Probability Performance of Digital Communication Systems with Compact Nyquist Pulses

Designing pulse shaping filters that satisfy the Nyquist condition for minimum intersymbol interference (ISI) is crucial to the performance of almost all digital transceiver systems. In this paper, a method of improving the error probability performance of various Nyquist pulses, by multiplying them with a specific compactly supported function, is proposed. The resultant pulses are less sensitive to timing error and with smaller maximum distortion than the original pulses. Tabulated results that compare the error probability performance of the improved pulse technique to some conventional pulses are provided.

[1]  Norman C. Beaulieu,et al.  The evaluation of error probabilities for intersymbol and cochannel interference , 1991, IEEE Trans. Commun..

[2]  Michail Matthaiou,et al.  Two-parameter Nyquist pulses with better performance , 2008, IEEE Communications Letters.

[3]  Kyujin Lee,et al.  ISI-Free Linear Combination Pulses with Better Performance , 2013, IEICE Trans. Commun..

[4]  John P. Fonseka,et al.  Compact Pulse Shaping for Efficient PAM/QAM Signaling , 2011, IEEE Communications Letters.

[5]  Norman C. Beaulieu,et al.  A "better than" Nyquist pulse , 2001, IEEE Communications Letters.

[6]  N. Alexandru,et al.  Optimization of a square-root Nyquist filter with staircase frequency characteristic , 2013, 2013 4th International Symposium on Electrical and Electronics Engineering (ISEEE).

[7]  Norman C. Beaulieu,et al.  Transmission properties of conjugate-root pulses , 2004, IEEE Transactions on Communications.

[8]  Tapio Saramäki,et al.  On Two-Stage Nyquist Pulse Shaping Filters , 2012, IEEE Transactions on Signal Processing.

[9]  F. G. Friedlander.  Introduction to the theory of distributions , 1982 .

[10]  Shu Hung Leung,et al.  A novel OFDM receiver with second order polynomial Nyquist window function , 2005, IEEE Commun. Lett..

[11]  P. Sandeep,et al.  ISI-free pulses with reduced sensitivity to timing errors , 2005, IEEE Communications Letters.

[12]  Nicolae Dumitru Alexandru,et al.  Two improved nyquist filters with piece-wise rectangular-polynomial frequency characteristics , 2012 .

[13]  Kyujin Lee,et al.  PAPR Reduction in SC-FDMA by Pulse Shaping Using Parametric Linear Combination Pulses , 2012, IEEE Communications Letters.

[14]  Israel Halperin,et al.  Introduction to the theory of distributions , 1952 .