CN115765898A - Maximum value bilateral monotony-based spectrum envelope extraction method - Google Patents
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Abstract
The invention discloses a maximum value bilateral monotony-based spectrum envelope extraction method, which comprises the following steps: acquiring the maximum value of the high-power radiation source frequency spectrum actual measurement data and the frequency point where the maximum value is located, and performing normalization processing; for the spectrum data on the left side of the maximum frequency point, traversing from the left, if f (n) < f (n-1), then f (n) = f (n-1); for data to the right of the maximum, traverse is started from the right, if f (n) < f (n + 1), then f (n) = f (n + 1); the left side and the right side can keep bilateral monotony relative to the maximum frequency point; the frequency spectrum data beyond the actually measured data frequency range is attenuated by a slope of 0.5dB/MHz based on left and right boundary values; and obtaining a bilateral monotonic frequency spectrum envelope curve of the high-power radiation source in the full frequency band range. The invention can obtain the bilateral monotonic spectrum envelope curve based on the spectrum peak value, and the envelope curve can provide the steady-state sideband spectrum data of the frequency utilization equipment and provide effective data support for electromagnetic spectrum control.
Description
Technical Field
The invention relates to the technical field of electromagnetic spectrum management and control, in particular to a maximum value bilateral monotony-based spectrum envelope extraction method.
Background
When high-power frequency utilization equipment is collocated, the problem of frequency utilization conflict exists, and the normal working performance of the frequency utilization equipment is influenced. Frequency hopping conflicts between frequency hopping equipment are caused by sideband energy of the transmitting device entering the receive frequency band region of the receiving device. Accurate information of sideband spectrum of a high-power radiation source is required to be acquired in order to accurately predict and effectively control spectrum conflicts and electromagnetic interference between frequency devices; the effective method is to extract the side band spectrum steady state information from the measured spectrum data of the frequency using equipment.
The emission spectrum actually measured data curve of the high-power radiation source has a main frequency point, and the maximum value of the spectrum curve is near the main frequency point. The spectrum curve has the following characteristics:
(1) Due to the sampling and grabbing characteristics of the test instrument, an actually measured spectrum curve has the characteristics of staggered jump and does not have the steady-state characteristic, which is caused by test sampling and is not the actual characteristic of the spectrum.
(2) The spectral curve has a rich sideband spectrum, with significant radiated power at the far sideband.
(3) The sideband does not satisfy the characteristic that the frequency spectrum value is smaller as the distance from the maximum frequency point is larger, namely the bilateral monotone characteristic is not satisfied.
The main purpose of extracting the spectrum envelope is that: (1) And restoring and extracting the true steady-state characteristic of the emission spectrum of the high-power radiation source. The spectral envelope of the stationary characteristic can be used to calculate the spectral compatibility and minimum compatibility spectral separation between devices. And (2) acquiring a strictly bilateral monotonic spectral envelope curve. The minimum compatible spectrum interval can be calculated only by a strict spectrum envelope curve with monotonous two sides, and the reliability and effectiveness of spectrum control are ensured. And (3) completing the far-sideband spectrum model data. The frequency spectrum measured data has a certain frequency range, and for far-side band frequency spectrum data exceeding the measured frequency range, an estimated value of the far-side band frequency spectrum is obtained by adopting fixed slope attenuation according to the statistical rule characteristic of the measured data. Therefore, a full-band sideband spectrum model is obtained, and the spectral attenuation value of any frequency point sideband can be given.
The current main methods for extracting the spectrum envelope comprise an extreme value method, hilbert-Huang transform and the like, and the methods cannot obtain a strict spectrum envelope curve with monotonous two sides and are difficult to calculate an accurate minimum compatibility spectrum interval, so that the accuracy of spectrum management and control is influenced.
Disclosure of Invention
The technical problem to be solved by the invention is to provide a spectrum envelope extraction method based on maximum value bilateral monotony aiming at the defects in the prior art.
The technical scheme adopted by the invention for solving the technical problems is as follows:
the invention provides a spectrum envelope extraction method based on maximum value bilateral monotony, which comprises the following steps:
step 2, normalization treatment: the acquired frequency spectrum data are normalized, the frequency spectrum data of all frequency points subtract the main frequency peak value to obtain normalized frequency spectrum data, and the attenuation value of the sideband relative to the main frequency can be checked more conveniently;
step 3, monotonicity treatment: respectively processing the frequency spectrum data on the left side and the right side of the maximum frequency point, traversing the frequency spectrum data on the left side of the maximum frequency point from the left side, and if the nth frequency value of the frequency spectrum data sequence is smaller than the frequency value on the left side, enabling the nth frequency value to be equal to the frequency value on the left side, otherwise, keeping the nth frequency value unchanged until the traversal is completed; for the frequency spectrum data on the right side of the maximum value, traversing from the right side, if the nth frequency value of the frequency spectrum data sequence is smaller than the frequency value on the right side, enabling the nth frequency value to be equal to the frequency value on the right side, otherwise, keeping the nth frequency value unchanged until the traversing is completed; the left side and the right side can keep bilateral monotony relative to the maximum frequency point;
step 4, attenuating the spectrum data exceeding the actually measured data frequency range by a slope of 0.5dB/MHz based on left and right boundary values to obtain an estimated value of the spectrum data of the far sideband outside the boundary;
and 5, obtaining a bilateral monotonic frequency spectrum envelope curve of the high-power radiation source in the full frequency band range according to the steps.
Further, the detailed method of step 3 of the present invention is:
processing the frequency spectrum data from the left side and the right side of the maximum value respectively, and extracting a frequency spectrum envelope curve; to the left of the maximum, traverse starting from the leftmost, if f (n) < f (n-1), then f (n) = f (n-1); for data to the right of the maximum, traverse is started from the right, if f (n) < f (n + 1), then f (n) = f (n + 1);
where f (n) is the nth frequency value of the sequence of spectral data, f (n-1) represents the frequency value to the left of f (n), and f (n + 1) represents the frequency value to the right of f (n).
Further, the detailed method of step 4 of the present invention is:
the left and right boundaries are followed by attenuation with a slope of 0.5dB/MHz, and the spectral data to the left of f (1) is shown as:
the spectral data to the right of f (N) is expressed as:
where f represents the sequence of frequency values, f (N) represents the last value of the sequence of spectral data, N is the length of the sequence of spectral data, y is the sequence of spectral magnitudes, y1 represents the first value of the sequence of spectral magnitudes, and yN represents the nth value of the sequence of spectral magnitudes.
The invention has the following beneficial effects:
the invention provides a processing method capable of obtaining a bilateral monotonic spectrum envelope curve based on a spectrum peak value for the first time, the envelope curve can give stable sideband spectrum data of frequency equipment, gives an estimated value of a far-band side according to the statistical characteristics of the spectrum data, gives a full-band spectrum model, and provides effective data support for electromagnetic spectrum control.
Drawings
The invention will be further described with reference to the following drawings and examples, in which:
fig. 1 is a diagram of a bilateral monotonic spectral envelope extraction procedure in accordance with an embodiment of the present invention.
FIG. 2 is a measured spectrum data curve of an embodiment of the present invention, where the spectrum data at both ends of the maximum value do not satisfy the monotonicity characteristic;
FIG. 3 is a graph after normalization processing according to an embodiment of the invention;
FIG. 4 shows the spectrum data after envelope extraction, where the spectrum data at both ends of the maximum satisfies strict monotonicity characteristics;
FIG. 5 is a comparison of the effects of envelope data and raw test data of strictly monotonic characteristics for an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
As shown in fig. 1, a maximum value bilateral monotonic spectral envelope extraction method according to an embodiment of the present invention includes the following steps:
step 2, normalization treatment: the acquired frequency spectrum data are normalized, the frequency spectrum data of all frequency points subtract the main frequency peak value to obtain normalized frequency spectrum data, and the attenuation value of the sideband relative to the main frequency can be checked more conveniently;
step 3, monotonicity treatment: respectively processing the frequency spectrum data on the left side and the right side of the maximum frequency point, traversing the frequency spectrum data on the left side of the maximum frequency point from the left side, and if the nth frequency value of the frequency spectrum data sequence is smaller than the frequency value on the left side, enabling the nth frequency value to be equal to the frequency value on the left side, otherwise, keeping the nth frequency value unchanged until the traversal is completed; for the frequency spectrum data on the right side of the maximum value, traversing from the right side, if the nth frequency value of the frequency spectrum data sequence is smaller than the frequency value on the right side, enabling the nth frequency value to be equal to the frequency value on the right side, otherwise, keeping the nth frequency value unchanged until the traversing is completed; the left side and the right side can keep bilateral monotony relative to the maximum frequency point;
step 4, attenuating the spectrum data exceeding the actually measured data frequency range by a slope of 0.5dB/MHz based on left and right boundary values to obtain an estimated value of the spectrum data of the far sideband outside the boundary;
and 5, obtaining a bilateral monotonic frequency spectrum envelope curve of the high-power radiation source in the full frequency band range according to the steps.
The following figure gives an example of spectral data to be processed. As can be seen from fig. 2, due to the jagged jump of the spectrum data caused by the sampling reason, the original data is difficult to obtain the steady-state spectrum characteristic rule, and the spectrum data at the two ends of the maximum value also do not satisfy the monotonicity characteristic.
Firstly, performing normalization processing on data, and subtracting a maximum value of a frequency spectrum from the whole frequency spectrum data to obtain normalized frequency spectrum data, wherein the maximum value of the frequency spectrum is 0 at the moment as shown in fig. 3; since the spectral data focus is on the amplitude attenuation between the dominant frequency and the sidebands, the normalized spectral data can easily see the relative attenuation characteristics.
According to the processing steps, data processing is performed from the left and right sides of the maximum value of the spectrum data, so that the spectrum data with the envelope extracted can be obtained, as shown in fig. 4.
Comparing the original spectrum data with the processed envelope data, envelope data with strict monotone characteristics is obtained, and available data information is provided for spectrum management and control, as shown in fig. 5.
It will be understood that modifications and variations can be made by persons skilled in the art in light of the above teachings and all such modifications and variations are intended to be included within the scope of the invention as defined in the appended claims.
Claims (3)
1. A spectrum envelope extraction method based on maximum value bilateral monotony is characterized by comprising the following steps:
step 1, acquiring a maximum value of frequency spectrum measured data of a high-power radiation source and a frequency point where the maximum value is located, wherein the frequency point is a main frequency peak point of the high-power radiation source;
step 2, normalization processing: the acquired frequency spectrum data are normalized, the frequency spectrum data of all frequency points subtract the main frequency peak value to obtain normalized frequency spectrum data, and the attenuation value of the sideband relative to the main frequency can be checked more conveniently;
step 3, monotonicity treatment: respectively processing the frequency spectrum data on the left side and the right side of the maximum frequency point, traversing the frequency spectrum data on the left side of the maximum frequency point from the left side, and if the nth frequency value of the frequency spectrum data sequence is smaller than the frequency value on the left side, enabling the nth frequency value to be equal to the frequency value on the left side, otherwise, keeping the nth frequency value unchanged until the traversal is completed; for the frequency spectrum data on the right side of the maximum value, traversing from the right side, if the nth frequency value of the frequency spectrum data sequence is smaller than the frequency value on the right side, enabling the nth frequency value to be equal to the frequency value on the right side, otherwise, keeping the nth frequency value unchanged until the traversing is completed; the left side and the right side can keep bilateral monotonic characteristics relative to the maximum frequency point;
step 4, attenuating the frequency spectrum data exceeding the frequency range of the actually measured data based on the left and right boundary values with the slope of 0.5dB/MHz to obtain an estimated value of the frequency spectrum data of the far sideband outside the boundary;
and 5, obtaining a bilateral monotonic frequency spectrum envelope curve of the high-power radiation source in the full frequency band range according to the steps.
2. The maximum value bilateral monotonic spectral envelope extraction method according to claim 1, wherein the detailed method in step 3 is:
processing the frequency spectrum data from the left side and the right side of the maximum value respectively, and extracting a frequency spectrum envelope curve; to the left of the maximum, traverse from the leftmost, if f (n) < f (n-1), then f (n) = f (n-1); for data to the right of the maximum, traverse is started from the right, if f (n) < f (n + 1), then f (n) = f (n + 1);
where f (n) is the nth frequency value of the sequence of spectral data, f (n-1) represents the frequency value to the left of f (n), and f (n + 1) represents the frequency value to the right of f (n).
3. The maximum value bilateral monotonic spectral envelope extraction method according to claim 2, wherein the detailed method in step 4 is as follows:
the left and right boundaries are followed by attenuation with a slope of 0.5dB/MHz, and the spectral data to the left of f (1) is shown as:
the spectral data to the right of f (N) is represented as:
where f represents the sequence of frequency values, f (N) represents the last value of the sequence of spectral data, N is the length of the sequence of spectral data, y is the sequence of spectral magnitudes, y1 represents the first value of the sequence of spectral magnitudes, and yN represents the nth value of the sequence of spectral magnitudes.
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