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Device and method for optimal order search with low computational complexity in fractional domain
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An optimal order, fractional domain technology, applied in the field of communication, can solve problems such as increasing computational complexity, and achieve the effect of improving measurement accuracy and high computational complexity
Active Publication Date: 2019-03-01
BEIJING INSTITUTE OF TECHNOLOGYGY
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[0006] The purpose of the present invention is to overcome the problem that the computational complexity of the optimal order search in the existing fractional field increases after the measurement accuracy is improved, and proposes a device and method for optimal order search with low computational complexity in the fractional field
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Embodiment 1
[0053] Embodiment 1 of the present invention elaborates in detail the principle, device composition and function of a method for searching the optimal order with low computational complexity in the fractional domain of the present invention to measure the optimal order in the fractional domain.
[0054] figure 1 This is the principle of step size selection under different numbers of sampling points in the first embodiment. Among them, N is the number of sampling points, Δp is the measurement accuracy value, the abscissa is the number of sampling points (logarithmic coordinate system with base 2), and the ordinate is the measurement accuracy value (logarithmic coordinate system with base 10). The curve is an exponential function. figure 1 (a) is the measurement accuracy value corresponding to different sampling points of Linear Frequency Modulation (LFM), and the measurement accuracy value corresponds to the chirp coefficient of 0.001rad / s 2 Under different sampling points of...
Embodiment 2
[0064] This embodiment 2 elaborates in detail the device and method for applying the optimal order search with low computational complexity in the fractional field of the present invention. The implementation steps of the method are specifically as follows image 3 shown.
[0065] image 3 for use figure 2 Specific steps for the measurement device 200 to search for the optimal order with low computational complexity in the fractional domain. Such as image 3 As shown, this embodiment specifically includes the following steps:
[0066] Step 301, determine k=1 moment Δp, N and step;
[0067] k is the current moment, and k=1 is initialized.
[0068] Step 301 is completed in the initialization unit 201 .
[0069] Δp is the measurement accuracy value of the system.
[0070] N is the number of sampling points.
[0071] Specifically in this embodiment, determine Δp and the number of sampling points and steps at k=1, wherein the number of sampling points at k=1 needs to be le...
Embodiment 3
[0088] Embodiment 3 elaborates in detail the simulation results when the device and method for optimal order search with low computational complexity in the fractional domain of the present invention are implemented in the case of measuring the chirp coefficient of a chirp signal.
[0089] The expression of the chirp signal in the present embodiment is as shown in formula (3):
[0090] s(t)=exp(iCt 2 ) (3)
[0091] Among them, t is the time variable, s(t) is the chirp signal, exp is the exponential function, i is the imaginary number symbol, and C is the chirp coefficient; in this simulation, the chirp coefficient is set to 1×10 -4 .
[0092] Firstly, determine the number of sampling points and step in the search at the first moment. The number of sampling points is set to 128, and the step is 0.001.
[0093] Then calculate and utilize the method and device proposed by the present invention to obtain the energy concentration of the fractional Fourier transform at different...
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Abstract
The present invention provides a device and method for optimal order searching with low computational complexity in a fractional domain, belonging to the communication technology field. The present invention provides a device for optimal order searching with the low computational complexity in the fractional domain called the device for short, and a method for optimal order searching with the low computational complexity in the fractional domain. The method concretely comprises: the step 1: an initialization unit performs initialization measurement of a precision value and set number of sample points and stepping at the moment of k=1; the step 2: a calculation unit calculates the energy concentration degree of the number of the sample points at the k moment at the different orders; the step 3: a searching unit searches the extremum value of the energy concentration degree output by the step 2 to obtain an optimal order; the step 4: a conversion unit converts the optimal order of the number of the sample points at the moment of k+1; the step 5: a determination unit determines an order searching section of the number of the sample points at the moment of k+1; and the step 6: it is determined whether the measurement precision value of the number of the sample points at the k moment reaches a requirement or not and it is decided whether the method is completed or not. The device and method for the optimal order searching with the low computational complexity in the fractional domain can be used for accurate measurement of chirp parameters of chirp signals and dispersion in an optical fibertransmission system.
Description
technical field [0001] The invention relates to a device and method for searching an optimal order with low computational complexity in a fractional field, belonging to the technical field of communication. Background technique [0002] Fractional Fourier transform is a generalized form of Fourier transform, and it is a very potential time-frequency analysis tool in the field of signalprocessing. It can be interpreted as a representation method in the fractional Fourier domain formed by rotating the coordinate axis around the origin counterclockwise at any angle in the time-frequency plane. [0003] The fractional Fourier transform is to expand the signal on a set of orthogonal chirp signals, so the fractional Fourier transform can be applied to non-stationary signalprocessing, and when at the optimal order, the chirp signal is in the fractional domain It will have good aggregation, which is very useful for the detection and parameter estimation of chirp signals. [0004...
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