A method for sub-sample computation of time displacements between discrete signals based only on discrete correlation sequences

2017 ◽  
Vol 31 ◽  
pp. 560-568 ◽  
Author(s):  
César A. Teixeira ◽  
Luís Mendes ◽  
Maria Graça Ruano ◽  
Wagner C.A. Pereira
Keyword(s):  
Discrete Signals ◽  
Correlation Sequences

PROBABILITY OF BPSK SIGNAL RECEPTION ERROR IN PRESENCE OF SIMILAR HINDRANCE

2019 ◽  
pp. 55-59
Author(s):  
V. V. Zvonarev ◽  
I. A. Karabelnikov ◽  
A. S. Popov
Keyword(s):  
Initial Phase ◽  
Information Transfer ◽  
Radio Channel ◽  
Mutual Coherence ◽  
Coherent Noise ◽  
Probability Of Error ◽  
Discrete Signals ◽  
Average Probability ◽  
Correlation Receiver ◽  
Computer Type

The paper considers the problem of calculation of average probability of error of optimum symbol‑by‑symbol coherent reception of binary opposite phase‑shift keyed signals (BPSK) in the presence of similar synchronous noise. The noise similar to signal of PSK‑2 (BPSK), synchronous on clock periods, matching on frequency, differing in sequence of information characters and, perhaps, on initial phase of the bearing fluctuation is considered, up to mutual coherence of signal and noise. Formulas for calculation of probability of error are derived and results of partial computer type of diagrams of tension are given in some points of the correlation receiver. Optimum reception of discrete signals is carried out by means of the correlation receiver or the coordinated filter configured on signal in lack of noise in the presence of only receiver noises. It is shown that availability of synchronous similar or harmonious coherent noise, aim on structure, leads to decrease in noise stability of radio channel of information transfer. Than the level of noise is higher, that the probability of error is more.

“Fuzzy” calculus: The link between quantum mechanics and discrete fractional operators

2020 ◽  
Vol 23 (3) ◽  
pp. 764-786
Author(s):  
Raoul R. Nigmatullin ◽  
Paolo Lino ◽  
Guido Maione
Keyword(s):  
Fractional Integral ◽  
Continuous Spin ◽  
First Order ◽  
Discrete Signals ◽  
Resonance Frequencies ◽  
Fuzzy Calculus ◽  
New Form ◽  
Hidden States ◽  
Extended Interpretation ◽  
Continuous Range

AbstractIn this paper, based on the “fuzzy” calculus covering the continuous range of operations between two couples of arithmetic operations (+, –) and (×, :), a new form of the fractional integral is proposed occupying an intermediate position between the integral and derivative of the first order. This new form of the fractional integral satisfies the C1 criterion according to the Ross classification. The new calculus is tightly related to the continuous values of the continuous spin S = 1 and can generalize the expression for the fractional values of the shifting discrete index. This calculus can be interpreted as the appearance of the hidden states corresponding to unobservable values of S = 1. Many well-known formulas can be generalized and receive a new extended interpretation. In particular, one can factorize any rectangle matrix and receive the “perfect” filtering formula that allows transforming any (deterministic or random) function to another arbitrary function and vice versa. This transformation can find unexpected applications in data transmission, cryptography and calibration of different gadgets and devices. One can also receive the hybrid (”centaur”) formula for the Fourier (F-) transformation unifying both expressions for the direct and inverse F-transformations in one mathematical unit. The generalized Dirichlet formula, which is obtained in the frame of the new calculus to allow selecting the desired resonance frequencies, will be useful in discrete signals processing, too. The basic formulas are tested numerically on mimic data.

scholarly journals Low-complexity MIMO precoding with discrete signals and statistical CSI

2016 ◽  
Author(s):  
Yongpeng Wu ◽  
Chao-Kai Wen ◽  
Derrick Wing Kwan Ng ◽  
Robert Schober ◽  
Angel Lozano
Keyword(s):  
Low Complexity ◽  
Discrete Signals ◽  
Mimo Precoding

scholarly journals Fast Method of Diagonal Sliding Spatial Frequency Processing of Discrete Signals

2019 ◽  
Vol 17 (3) ◽  
pp. 105
Author(s):  
O. V. Ponomareva ◽  
A. V. Ponomarev
Keyword(s):  
Spatial Frequency ◽  
Fast Method ◽  
Discrete Signals ◽  
Frequency Processing

Разработан метод диагональной обработки двумерных дискретных сигналов в пространственно-частотной области – метод диагонально скользящего двумерного дискретного преобразования Фурье. Рассмотрен математический аппарат прямого двумерного дискретного преобразования Фурье в матричной и алгебраической форме. Разработан эффективный метод и алгоритм диагонально скользящего двумерного дискретного преобразования Фурье, который позволяет вычислять коэффициенты данного преобразования в реальном масштабе времени. Проведена оценка эффективности алгоритма диагонально скользящего двумерного дискретного преобразования Фурье с точки зрения вычислительных затрат в сравнении с известными алгоритмами. В результате экспериментальных исследований на модельных двумерных дискретных сигналах доказана обоснованность, эффективность и достоверность предложенного метода и алгоритма горизонтально скользящего двумерного дискретного преобразования Фурье. Проведено сравнение разработанного метода диагонально скользящего двумерного дискретного преобразования Фурье со стандартным методом получения коэффициентов двумерного дискретного преобразования с точки зрения вычислительных затрат. Построены поверхности относительной экономии вычислений в разработанном алгоритме в сравнении со стандартным алгоритмом горизонтально скользящей обработки двумерных дискретных сигналов.

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