CN115765898B - Spectrum envelope extraction method based on maximum bilateral monotone - Google Patents
Spectrum envelope extraction method based on maximum bilateral monotone Download PDFInfo
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- 238000001228 spectrum Methods 0.000 title claims abstract description 111
- 230000002146 bilateral effect Effects 0.000 title claims abstract description 24
- 238000000605 extraction Methods 0.000 title claims abstract description 13
- 230000003595 spectral effect Effects 0.000 claims abstract description 26
- 230000005855 radiation Effects 0.000 claims abstract description 14
- 238000012545 processing Methods 0.000 claims abstract description 13
- 238000005259 measurement Methods 0.000 claims abstract description 8
- 238000010606 normalization Methods 0.000 claims abstract description 5
- 238000000034 method Methods 0.000 claims description 9
- 230000002238 attenuated effect Effects 0.000 abstract 1
- 238000005070 sampling Methods 0.000 description 3
- 238000012360 testing method Methods 0.000 description 3
- 238000010586 diagram Methods 0.000 description 2
- 238000000295 emission spectrum Methods 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
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- 230000009286 beneficial effect Effects 0.000 description 1
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- 238000003672 processing method Methods 0.000 description 1
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Abstract
The invention discloses a spectrum envelope extraction method based on maximum bilateral monotone, which comprises the following steps: obtaining 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 carrying out normalization processing; for spectral data to the left of the maximum frequency point, traversing from the left, if f (n) < f (n-1), f (n) =f (n-1); for data to the right of the maximum value, traversing from the right, if f (n) < f (n+1), f (n) =f (n+1); the bilateral monotone characteristic relative to the maximum frequency point can be kept on the left side and the right side; spectral data outside the measured data frequency range is attenuated at a slope of 0.5dB/MHz based on the left and right boundary values; and obtaining a bilateral monotone spectrum envelope curve of the high-power radiation source in the full-frequency range. The invention can obtain bilateral monotonic spectrum envelope based on spectrum peak value, the envelope can give out sideband spectrum data of steady state of frequency using equipment, and effective data support is provided for electromagnetic spectrum management and control.
Description
Technical Field
The invention relates to the technical field of electromagnetic spectrum management and control, in particular to a spectrum envelope extraction method based on maximum bilateral monotone.
Background
When high-power frequency using equipment is arranged in a co-location mode, the problem of frequency using conflict exists, and the normal working performance of the frequency using equipment is affected. The frequency collision between the frequency-using equipment is caused by the sideband energy of the transmitting device entering the receiving frequency band of the receiving device. In order to accurately predict and effectively control spectrum conflict and electromagnetic interference between frequency-using devices, accurate information of sideband spectrums of a high-power radiation source needs to be obtained; the effective method is to extract the sideband spectrum steady state information from the measured spectrum data of the frequency-using device.
The emission spectrum measured data curve of the high-power radiation source has a main frequency point, and the spectrum maximum value of the spectrum curve is near the main frequency point. The spectral curve has the following characteristics:
(1) Because of the sampling and grabbing characteristics of the test instrument, the actual measurement spectrum curve has the characteristic of spread jump, and the spectrum curve 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 curves have a rich sideband spectrum, and still have significant radiated power in the far sidebands.
(3) The sidebands do not satisfy the feature of smaller spectral values further from the maximum, i.e., do not satisfy the bilateral monotonic characteristic.
The main application of the spectrum envelope extraction is as follows: (1) And restoring and extracting the real steady-state characteristic of the emission spectrum of the high-power radiation source. The spectral envelope of the steady state characteristics can be used to calculate the spectral compatibility and minimum compatibility spectral spacing between devices. (2) obtaining a strictly bilateral monotonic spectrum envelope curve. The minimum compatible spectrum interval can be calculated only by a strict bilateral monotonic spectrum envelope curve, and the reliability and effectiveness of spectrum management and control are ensured. (3) complementing the far-sideband spectrum model data. The spectrum actual measurement data has a certain frequency range, and for the far-sideband spectrum data exceeding the actual measurement frequency range, the fixed slope attenuation is adopted to obtain the estimated value of the far-sideband spectrum according to the statistical rule characteristic of the actual measurement data. Thus, a full-band sideband spectrum model is obtained, and the spectrum attenuation value of any frequency point sideband can be given.
The current main methods for extracting the spectrum envelope include extremum method, hilbert yellow transformation and the like, and the methods cannot obtain a strict bilateral monotonic spectrum envelope curve, so that the accurate minimum compatible spectrum interval is difficult to calculate, and the accuracy of spectrum control is affected.
Disclosure of Invention
Aiming at the defects in the prior art, the invention provides a spectrum envelope extraction method based on maximum bilateral monotone.
The technical scheme adopted for solving the technical problems is as follows:
the invention provides a spectrum envelope extraction method based on maximum bilateral monotone, which comprises the following steps:
step 1, obtaining the maximum value of the high-power radiation source frequency spectrum actual measurement data and the frequency point where the maximum value is located, wherein the frequency point is the main frequency peak point of the high-power radiation source;
step 2, normalization processing: the obtained frequency spectrum data is normalized, the frequency spectrum data of all frequency points is subtracted by 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 and right sides 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 of the frequency spectrum data sequence, otherwise, keeping the nth frequency value unchanged until the traversing is completed; for the frequency spectrum data on the right of the maximum frequency point, traversing from the right, if the nth frequency value of the frequency spectrum data sequence is smaller than the frequency value on the right of the frequency spectrum data sequence, enabling the nth frequency value to be equal to the frequency value on the right of the frequency spectrum data sequence, otherwise, keeping the nth frequency value unchanged until traversing is completed; the bilateral monotone characteristic relative to the maximum frequency point can be kept on the left side and the right side;
step 4, attenuating the frequency spectrum data exceeding the frequency range of the actually measured data with a slope of 0.5dB/MHz based on the left and right boundary values to obtain an estimated value of the far-sideband frequency spectrum data outside the boundary;
and step 5, obtaining a bilateral monotonous spectrum envelope curve of the high-power radiation source in the full-frequency range according to the steps.
Further, the detailed method of the step 3 of the invention is as follows:
processing the spectrum data from the left and right sides of the maximum value respectively, and extracting a spectrum envelope curve; to the left of the maximum, traversing from the leftmost, if f (n) < f (n-1), f (n) =f (n-1); for data to the right of the maximum value, traversing from the right, if f (n) < f (n+1), f (n) =f (n+1);
wherein f (n) is the nth frequency value of the spectrum data sequence, f (n-1) represents the frequency value on the left of f (n), and f (n+1) represents the frequency value on the right of f (n).
Further, the detailed method of the step 4 of the invention is as follows:
outside the left and right boundaries, the attenuation is performed according to a slope of 0.5dB/MHz, and the spectral data on the left side of f (1) is expressed as:
the spectral data to the right of f (N) is expressed as:
wherein f represents a 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 1 Representing a first value, y, of a sequence of spectral magnitudes N An nth value representing a sequence of spectral magnitudes.
The invention has the beneficial effects that:
the invention provides a processing method capable of obtaining a bilateral monotone spectrum envelope line based on a spectrum peak value for the first time, wherein the envelope line can give out sideband spectrum data of a frequency using device in a steady state, an estimated value of a far band edge is given out according to the statistical property of the spectrum data, a full-band spectrum model is given out, and effective data support is provided for electromagnetic spectrum management and control.
Drawings
The invention will be further described with reference to the accompanying drawings and examples, in which:
fig. 1 is a diagram of a bilateral monotonic spectral envelope extraction step according to an embodiment of the present invention.
FIG. 2 is a graph of measured spectrum data for an embodiment of the present invention, where the spectrum data at both ends of the maximum does not satisfy monotonicity characteristics;
FIG. 3 is a graph of normalized processing according to an embodiment of the present invention;
FIG. 4 is an illustration of spectral data after extraction of an envelope, the spectral data at both ends of a maximum satisfying strict monotonicity characteristics in an embodiment of the present invention;
fig. 5 is a graph of the comparative effect of envelope data and raw test data of strictly monotonic behavior of an embodiment of the present invention.
Detailed Description
The present invention will be described in further detail with reference to the drawings and examples, in order to make the objects, technical solutions and advantages of the present invention more apparent. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention.
As shown in fig. 1, the spectrum envelope extraction method based on maximum bilateral monotonic in the embodiment of the invention includes the following steps:
step 1, obtaining the maximum value of the high-power radiation source frequency spectrum actual measurement data and the frequency point where the maximum value is located, wherein the frequency point is the main frequency peak point of the high-power radiation source;
step 2, normalization processing: the obtained frequency spectrum data is normalized, the frequency spectrum data of all frequency points is subtracted by 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 and right sides 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 of the frequency spectrum data sequence, otherwise, keeping the nth frequency value unchanged until the traversing is completed; for the frequency spectrum data on the right of the maximum frequency point, traversing from the right, if the nth frequency value of the frequency spectrum data sequence is smaller than the frequency value on the right of the frequency spectrum data sequence, enabling the nth frequency value to be equal to the frequency value on the right of the frequency spectrum data sequence, otherwise, keeping the nth frequency value unchanged until traversing is completed; the bilateral monotone characteristic relative to the maximum frequency point can be kept on the left side and the right side;
step 4, attenuating the frequency spectrum data exceeding the frequency range of the actually measured data with a slope of 0.5dB/MHz based on the left and right boundary values to obtain an estimated value of the far-sideband frequency spectrum data outside the boundary;
and step 5, obtaining a bilateral monotonous spectrum envelope curve of the high-power radiation source in the full-frequency range according to the steps.
The following diagram gives an example of spectral data to be processed. As can be seen from fig. 2, the spectrum data is spread due to sampling, so that the original data is difficult to obtain a steady-state spectrum characteristic rule, and the spectrum data at two ends of the maximum value also does not meet the monotonicity characteristic.
Firstly, carrying out normalization processing on data, and subtracting a spectrum maximum value from the whole spectrum data to obtain normalized spectrum data, wherein the spectrum maximum value is 0 at the moment as shown in fig. 3; since the focus of the spectral data is the amplitude attenuation between the primary frequency and the sidebands, the normalized spectral data can be conveniently seen as the relative attenuation characteristics.
According to the processing procedure, data processing is performed from both sides of the maximum value of the spectrum data, respectively, so that spectrum data after envelope extraction can be obtained, as shown in fig. 4.
Comparing the original spectrum data with the processed envelope data, the 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 will be apparent to those skilled in the art from the foregoing description, and it is intended that all such modifications and variations be included within the scope of the following claims.
Claims (2)
1. The spectrum envelope extraction method based on maximum bilateral monotone is characterized by comprising the following steps:
step 1, obtaining the maximum value of the high-power radiation source frequency spectrum actual measurement data and the frequency point where the maximum value is located, wherein the frequency point is the main frequency peak point of the high-power radiation source;
step 2, normalization processing: the obtained frequency spectrum data is normalized, the frequency spectrum data of all frequency points is subtracted by 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 and right sides 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 of the frequency spectrum data sequence, otherwise, keeping the nth frequency value unchanged until the traversing is completed; for the frequency spectrum data on the right of the maximum frequency point, traversing from the right, if the nth frequency value of the frequency spectrum data sequence is smaller than the frequency value on the right of the frequency spectrum data sequence, enabling the nth frequency value to be equal to the frequency value on the right of the frequency spectrum data sequence, otherwise, keeping the nth frequency value unchanged until traversing is completed; the bilateral monotone characteristic relative to the maximum frequency point can be kept on the left side and the right side;
step 4, attenuating the frequency spectrum data exceeding the frequency range of the actually measured data with a slope of 0.5dB/MHz based on the left and right boundary values to obtain an estimated value of the far-sideband frequency spectrum data outside the boundary;
the detailed method of the step 4 is as follows:
outside the left and right boundaries, the attenuation is performed according to a slope of 0.5dB/MHz, and the spectral data on the left side of f (1) is expressed as:
the spectral data to the right of f (N) is expressed as:
wherein f represents a 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 1 Representing a first value, y, of a sequence of spectral magnitudes N An nth value representing a sequence of spectral magnitudes;
and step 5, obtaining a bilateral monotonous spectrum envelope curve of the high-power radiation source in the full-frequency range according to the steps.
2. The maximum bilateral monotonic-based spectrum envelope extraction method as defined in claim 1, wherein the detailed method of step 3 is:
processing the spectrum data from the left and right sides of the maximum value respectively, and extracting a spectrum envelope curve; to the left of the maximum, traversing from the leftmost, if f (n) < f (n-1), f (n) =f (n-1); for data to the right of the maximum value, traversing from the right, if f (n) < f (n+1), f (n) =f (n+1);
wherein f (n) is the nth frequency value of the spectrum data sequence, f (n-1) represents the frequency value on the left of f (n), and f (n+1) represents the frequency value on the right of f (n).
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| US7565213B2 (en) * | 2004-05-07 | 2009-07-21 | Gracenote, Inc. | Device and method for analyzing an information signal |
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| CN102144258A (en) * | 2008-08-21 | 2011-08-03 | 摩托罗拉移动公司 | Method and apparatus to facilitate determining signal bounding frequencies |
| CN107430869A (en) * | 2015-01-30 | 2017-12-01 | 日本电信电话株式会社 | Parameter determination device, method, program and recording medium |
| CN109855852A (en) * | 2019-03-04 | 2019-06-07 | 中国矿业大学 | A kind of signal envelope extracting method based on the transformation of Correct Fourier in short-term |
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