New Pulse Shapes for Partial Response Signaling to Outperform Faster-than-Nyquist Signaling

Gelgor, Aleksandr; Gelgor, T.

doi:10.1109/eexpolytech.2019.8906884

Cited by 20 publications

(6 citation statements)

References 19 publications

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“…The algorithm of ICA [24] combines proposed procedures for blind identification of the measured waveform. The mixing matrix corresponds to the partial pulse responses (PPR) [25] of the victim's signal and aggressor's signal. The independent components combine data, intersymbol interference (ISI), and crosstalk symbols.…”

Section: And Errormentioning

confidence: 99%

Blind Separation of the Measured Mixed Cyclostationary Waveforms in Transmission Lines of the PCB

Kuznetsov,

Baev,

Konovalyuk

et al. 2023

Electronics

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Crosstalk is an undesirable factor that degrades the quality of data transmission in printed circuit boards (PCBs). The signal integrity (SI) in multiconductor transmission lines is controlled by using a large number of multiport tests and measurements, which require a lot of time and expensive laboratory equipment. Proposed signal processing methods based on blind identification allow a reduction in the measurement burden. Contrary to the traditional approach requiring knowledge of sampling time offset, input pseudorandom bit sequence (PRBS), and time delay between received data and transmitted PRBS, the proposed alternative method performs blind separation of measured data for the linear fit pulse response (LFPR) procedure. The waveform identification of the partial pulse responses is evaluated for additively mixed cyclostationary sources of the data, intersymbol interference, and crosstalk. A mixed matrix model of composed random vectors is considered. The proposed estimation procedure is based on preprocessing of measured data using principal component analysis (PCA) and following independent component analysis (ICA). It is shown that the proposed component analysis allows diagnostics of signal integrity using eye-diagram patterns and the channel operating margin (COM).

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Section: And Errormentioning

confidence: 99%

Blind Separation of the Measured Mixed Cyclostationary Waveforms in Transmission Lines of the PCB

Kuznetsov,

Baev,

Konovalyuk

et al. 2023

Electronics

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“…In this correspondence, we employ a root-raised cosine (RRC) shaping pulse p(t) with a roll-off factor β. For other non-orthogonal signaling schemes [19]- [21], the shaping pulse p(t) can be adjusted and the following derivations are still valid.…”

Section: System Modelmentioning

confidence: 99%

Generalized Approximate Message Passing Equalization for Multi-Carrier Faster-Than-Nyquist Signaling

Ma¹,

Zhang

et al. 2022

IEEE Trans. Veh. Technol.

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Multi-carrier faster-than-Nyquist (MFTN) signaling constitutes a promising spectrally efficient non-orthogonal physical layer waveform. In this correspondence, we propose a pair of low-complexity generalized approximate message passing (GAMP)-based frequency-domain equalization (FDE) algorithms for MFTN systems operating in multipath channels. To mitigate the ill-condition of the resultant equivalent channel matrix, we construct block circulant interference matrices by inserting a few cyclic postfixes, followed by truncating the duration of the inherent two-dimensional interferences. Based on the decomposition of the block circulant matrices, we develop a novel frequency-domain received signal model using the twodimensional fast Fourier transform for mitigating the colored noise imposed by the non-orthogonal matched filter. Moreover, we derive a GAMP-based FDE algorithm and its refined version, where the latter relies on approximations for circumventing the emergence of the ill-conditioned matrices. Our simulation results demonstrate that, for a fixed spectral efficiency, MFTN signaling can significantly improve the bit error rate (BER) performance by jointly optimizing the time-and frequency-domain packing factors. Compared to its Nyquist-signaling counterpart, our proposed MFTN systems employing the refined GAMP equalizer can achieve about 39% higher transmission rates at a negligible BER performance degradation.Index Terms-Multi-carrier faster-than-Nyquist signaling, frequency-domain equalization, generalized approximate message passing, block circulant matrix with circulant blocks.

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“…Assume the value of maximum energy concentration in the occupied frequency bandwidth is equal to 99% [26], [28] of the whole energy of the finite-time signal in the infinite frequency bandwidth. Then, the optimization problem (2) can be given by:…”

Section: Ftn Signal Optimization By Conforming Criterion Of Maximmentioning

confidence: 99%

“…This optimization problem should have some constraints defined by the conditions for data transmitting over a continuous channel [22]- [25]. The criterion for the FTN signal shape optimization is based on the principle of choosing the maximum compactness degree of the energy spectrum of a random signal sequence, which is also called the criterion of the maximum energy concentration in the occupied frequency bandwidth ∆F [9], [26]. The occupied frequency bandwidth denoted as ∆F is determined by the concentration criterion of 99% of the signal's energy.…”

Section: Introductionmentioning

confidence: 99%

Optimizing the Shape of Faster-Than-Nyquist (FTN) Signals With the Constraint on Energy Concentration in the Occupied Frequency Bandwidth

et al. 2020

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The achievement of the boundary values of spectral efficiency is associated with the development of methods for generating and receiving signals with a compact spectrum. The reason is a constant increase in the capacity of existing communication channels caused by an increase in the volume of transmitted information. Moreover, the allocated frequency bandwidths have natural limitations, and they are almost all reached. The effective way to approach the boundary values of spectral efficiency is the application of spectrally efficient signals, such as FTN (Faster-Than-Nyquist) signals. This article proposes to synthesize optimal FTN signals that are more compact in the spectrum than RRC (root raised cosine) pulses-based signals. The criterion of maximum energy concentration in the occupied frequency bandwidth and the constraint on the cross-correlation coefficient are used to solve the optimization problem. The contribution of this work is the optimization of FTN signal shape. The obtained optimal FTN signals provide a 24% increase in spectral efficiency compared to the RRC pulses-based signals. At the same time, the energy loss stays almost unchanged. To the best of authors' knowledge, this is the first case when the frequency bandwidth reduction is achieved at practically no energy loss. The simulation modeling in channels with additive white Gaussian noise and fading channels is done with regard to the FTN-SC-FDE (Faster-Than-Nyquist-Single Carrier system with Frequency Domain Equalization) structure. The optimal FTN signals presented in this work can be used to increase the spectral efficiency of satellite broadcasting systems, such as DVB-S2/S2X. INDEX TERMS Faster than Nyquist signaling; maximum band energy concentration criterion; optimization methods; spectral efficiency

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New Pulse Shapes for Partial Response Signaling to Outperform Faster-than-Nyquist Signaling

Cited by 20 publications

References 19 publications

Blind Separation of the Measured Mixed Cyclostationary Waveforms in Transmission Lines of the PCB

Blind Separation of the Measured Mixed Cyclostationary Waveforms in Transmission Lines of the PCB

Generalized Approximate Message Passing Equalization for Multi-Carrier Faster-Than-Nyquist Signaling

Optimizing the Shape of Faster-Than-Nyquist (FTN) Signals With the Constraint on Energy Concentration in the Occupied Frequency Bandwidth

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