Construction of the new improved Nyquist filters using interpolation with polynomial functions

This paper presents considerations regarding the design and implementation of improved Nyquist filters (INFs). Special attention is paid to the use of truncated root-pulse in the practical engineering perspective. A comparison of several INF pulses with hM-1 and hM-3 pulses that suffer no spectral regrowth is made. Although they are outperformed by the hM pulses in terms of spectral regrowth, the pulses generated by INFs are superior in terms of error probability up to one order of magnitude when sampled with a time offset.

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“…Other pulses that outperform the BTRC pulse were reported later in [2][3][4][5][6][7][8][9][10][11][12].…”

Section: Improved Nyquist Filters (Infs)mentioning

confidence: 95%

Implementation considerations regarding improved Nyquist filters

Alexandru

Cleju

2013

Proceedings of the International Conference on ELECTRONICS, COMPUTERS and ARTIFICIAL INTELLIGENCE - ECAI-2013

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“…Several families of INFs were proposed so far in the literature [1][2][3][4][5][6][7][8][9][10][11][12][13][14], but the mechanism that determines the improved behaviour was not deciphered yet.…”

Section: ))mentioning

confidence: 99%

Investigation of the mechanism of improvement in improved Nyquist filters

Alexandru¹,

Balan

2014

IET signal process.

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In this study, the authors have investigated the mechanism that determines improved Nyquist filters (INFs) to perform better in the presence of timing errors. The authors have explored the role of low-and high-frequency regions in the range [B(1 − α), B], where B is the bandwidth corresponding to T =1/2B in producing a smaller error probability in the presence of symbol timing error. The authors first have analysed the performance of the POWER pulse and evidenced the role of the slope of the frequency characteristic in the vicinity of B(1 − α), determined the optimal values of the exponent β and derived a formula that links β and the slope value at B(1 − α + α/100) to the normalised time offset. Then, the authors have proposed five new INFs with piece-wise polynomial frequency characteristic, and investigated the influence of component frequency bands and shapes on the error probability, when the impulse response is sampled with a time offset. The authors consider that the slope of the frequency characteristic in the transition band in the vicinity of B(1 − α) has a direct effect on the error probability. Finally, the authors have presented the performance evaluation and practical engineering challenges brought in by the use of the new pulses in an N-subcarrier orthogonal frequency-division multiplexing (OFDM) systems in order to reduce intercarrier interference power.

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“…Several solutions were reported in the literature so far by different research teams [1][2][3][4][5][6][7][8][9][10][11]. However, a systematic approach, based on deciphering the mechanism behind reducing the height of the first side lobes was not investigated yet.…”

Section: Introductionmentioning

confidence: 99%

“…In our previous papers on this topic [10][11][12], [14][15] we have proposed and explored new families of INFs in terms of error probability and considered them as a starting point in our work to explain the mechanism that determines the improve behavior of the INFs, when sampled with a time offset. For this purpose we have extended the pulses proposed and analyzed in [12] and [14].…”

Section: Introductionmentioning

confidence: 99%

Development of Improved Nyquist Filters with piecewise linear frequency characteristics

Alexandru

Balan

Diaconu

et al. 2013

2013 36th International Conference on Telecommunications and Signal Processing (TSP)

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In this paper we present a design concept for a new family of Improved Nyquist Filters (INFs). The filters performance, in terms of error probability, depends on the presence of symbol timing errors for the same values of the excess bandwidth, timing jitter, signal to noise ratio and number of interfering pulses. The characteristic property of the new family of inter-symbol interference (ISI) free pulses generated by the proposed filters is the asymptotic decay rate of t -1 and t -2 . The proposed design concept to construct Nyquist filters is based on a piece-wise frequency characteristic, composed of two or three linear pieces in the transition region with different slopes. Analytical and simulation results are presented to show that improvements can be achieved as compared to previously reported pulses taken as references.

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Construction of the new improved Nyquist filters using interpolation with polynomial functions

Cited by 9 publications

References 11 publications

Implementation considerations regarding improved Nyquist filters

Implementation considerations regarding improved Nyquist filters

Investigation of the mechanism of improvement in improved Nyquist filters

Development of Improved Nyquist Filters with piecewise linear frequency characteristics

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