Distributions of probability of power values for random sequences of optimal FTN signals

Makarov, Sergey B.; Ovsyannikova, Anna S.; Lavrenyuk, Ilya I.; Zavjalov, Sergey V.

doi:10.1109/isce.2018.8408919

Cited by 11 publications

(2 citation statements)

References 7 publications

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“…However, there are still issues to be solved, such as the optimization of signal waveforms, modulation and coding methods, and the development of signal forming and processing equipment in band-limited [1][2][3][4][5]. In the communication system, the spectrum characteristics of the bandwidth occupied by the modulated signal and the out-of-band energy radiation mainly depend on the form of the baseband symbol signal [6,7]. e symbol signals used in the past are usually some simple empirical signal waveforms.…”

Section: Introductionmentioning

confidence: 99%

Comparative Study of Analytic Solution and Numerical Solution of Baseband Symbol Signal Based on Optimal Generic Function

Liu

Xue

Makarov

et al. 2019

Mathematical Problems in Engineering

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In this paper, the optimal mathematical generic function model is established using the minimum out-of-band energy radiation criterion. Firstly, the energy limit conditions, boundary constraints, and peak-to-average ratio constraints are applied to the generic function model; thus, the analytical solutions are obtained under different parameters. Secondly, a single symbol signal energy constraint condition and boundary constraint condition are added to the generic function model; thus, the numerical solution of the different parameters is obtained. In the process of solving the analytical solution, the partial solution process is simplified to solve the analytical solution, and there are also digital truncation problems. In addition, the corresponding order of the Lagrange differential equation increases by a multiple of 2 when the parameter n increases, which makes the solution extremely complicated or even impossible to solve. The numerical solution is in line with the current development trend of digital communication, and there is no need to simplify the solution process in the process of solving the numerical solution. When the parameter n and the Fourier series m take different values, the obtained symbol signals can also meet the needs of different communication occasions. The relevant data of the above research process were solved by a MATLAB software simulation, which proves the correctness of the method and the superiority of the numerical method.

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Section: Introductionmentioning

confidence: 99%

Comparative Study of Analytic Solution and Numerical Solution of Baseband Symbol Signal Based on Optimal Generic Function

Liu

Xue

Makarov

et al. 2019

Mathematical Problems in Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

“…The partial response waveform artificially introduces inter-symbol interference at the symbol sampling time in order to improve the frequency band utilization and accelerate attenuation of the "tail" of the transmitted signal waveform [7][8][9][10]. The interference is then eliminated before the receiver generates the decision waveform to improve the spectral signature.…”

Section: Introductionmentioning

confidence: 99%

Research on an Optimization Method for a Partially Responsive Continuous Phase Modulated (CPM) Signal Based on an Optimal Generic Function

Makarov

Liu

et al. 2019

Symmetry

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This paper establishes an optimal generic function model in order to obtain a continuous phase modulated (CPM) signal with a smoother phase modulation function. This is achieved by finding the solution to the symbol signals at different lengths of the CPM function. In the solution process, the unknown amount that needs to be solved is reduced by using the even function symmetry characteristic of the signal to be solved. For each different form of the signal, the time domain form of the CPM function and the corresponding normalized energy spectral density are compared under the influence of the phase modulation signal length and the generic function parameter n. The data transmission rate is improved by introducing inter-symbol interference, and the modulation process is realized using six-way parallel transmission when the CPM function is 6T. The simulation results show that the CPM function obtained by establishing an optimal generic function model has high-quality time-frequency characteristics. The real-time phase trajectory and the high-order derivative are both continuous, and the modulated signal has constant envelope characteristics. The CPM function has a fast rolling-off in the frequency domain and small out-of-band radiation, which greatly improves the characteristics of the frequency band utilization.

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BER Performance Improvement for Optimal FTN Signals with Increased Signal Constellation Size

Ovsyannikova

Zavjalov

Makarov

2019

Lecture Notes in Computer Science

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Distributions of probability of power values for random sequences of optimal FTN signals

Cited by 11 publications

References 7 publications

Comparative Study of Analytic Solution and Numerical Solution of Baseband Symbol Signal Based on Optimal Generic Function

Comparative Study of Analytic Solution and Numerical Solution of Baseband Symbol Signal Based on Optimal Generic Function

Research on an Optimization Method for a Partially Responsive Continuous Phase Modulated (CPM) Signal Based on an Optimal Generic Function

BER Performance Improvement for Optimal FTN Signals with Increased Signal Constellation Size

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