CN106656887A - Method of estimating signal center frequency point and bandwidth - Google Patents
Method of estimating signal center frequency point and bandwidth Download PDFInfo
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- CN106656887A CN106656887A CN201610913626.0A CN201610913626A CN106656887A CN 106656887 A CN106656887 A CN 106656887A CN 201610913626 A CN201610913626 A CN 201610913626A CN 106656887 A CN106656887 A CN 106656887A
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/0014—Carrier regulation
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/01—Equalisers
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/0014—Carrier regulation
- H04L2027/0024—Carrier regulation at the receiver end
- H04L2027/0026—Correction of carrier offset
Abstract
The invention discloses a method of estimating a signal center frequency point and a bandwidth. The method comprises steps: a receiver antenna is measured, and a gain curve for the antenna in a receiving frequency band is obtained; the received signals at each time are subjected to Fourier transform to obtain a frequency spectrum, and the frequency spectrum is compensated according to the gain curve; the average value for frequency spectrum absolute values after multiple times of received signal compensation is calculated, a first frequency spectrum is obtained through smoothing processing, a second frequency spectrum is obtained through left-right turning and then smoothing filtering, and by such analogy, an Nth frequency spectrum is obtained, wherein N is an even number; positions and peak values of all peaks in the Nth frequency spectrum are acquired; as for any peak, a first position and a second position when the Nth frequency spectrum falls to a peak setting threshold multiple for the first time to the left and to the right are found out, a peak extending interval length is thereafter calculated, and peaks whose extending intervals are zero are removed; and the bandwidth and the center frequency point of any left peak are calculated. The method of the invention has the following advantage that the signal center frequency point and bandwidth estimation difficulty in a low-signal-to-noise ratio environment can be solved.
Description
Technical field
The invention belongs to wireless communication technology field, more particularly to the evaluation method of a kind of signal center's frequency and bandwidth.
Background technology
In wireless communication technology field, receiver is possible to receiving in the range of signal bandwidth while receiving several not
Same signal.These signals may adopt different modulation systems, with different carrier frequency and signal bandwidth.Therefore, to this
A little signals are carried out before parameter Estimation, Modulation Identification and demodulation it may first have to estimate the center frequency point and bandwidth of signal.
Existing signal bandwidth method of estimation is all directly to be estimated on the frequency spectrum or power spectrum of signal, due to letter
Number spectrum itself rises and falls violent, and burr is a lot, is difficult to distinguish signal with noise in the case where signal to noise ratio is relatively low.
The content of the invention
Present invention seek to address that above-mentioned technical problem.
For this purpose, it is an object of the invention to propose the evaluation method of a kind of signal center's frequency and bandwidth, by signal
Spectral smoothing filtering is solving the problems, such as that spectral ripple is violent, burr is a lot;By peak value searching accurately determining in signal
Heart frequency and bandwidth, so as to solve signal center's frequency and a bandwidth estimation difficult problem under low signal-to-noise ratio environment.
To achieve these goals, embodiment of the invention discloses that the estimation side of a kind of signal center's frequency and bandwidth
Method, comprises the following steps:S1:Receiver antenna is measured, obtains receiving the gain curve of frequency range internal antenna;S2:To every
The secondary signal Fourier transformation for receiving obtains receiving the frequency spectrum of signal;According to the gain curve of the antenna to receiving every time
Signal compensate, to eliminate impact of the antenna gain to signal spectrum;S3:Step S2 is performed a plurality of times, after taking repeatedly compensation
The mean value of the absolute value of signal;S4:The mean value of the absolute value of signal after the multiple compensation is carried out into smooth filter for the first time
Ripple obtains the first frequency spectrum, and left and right overturns, and again smothing filtering obtains the second frequency spectrum, and N frequency spectrums are obtained by that analogy, and wherein N is
Even number;S5:The position that all spike peak values in the N frequency spectrums and all spikes are located is obtained, for arbitrary spike, according to
Given threshold starts respectively to scan for N frequency spectrums to from left to right from spike position, finds N frequency spectrums and drops to first
The position of given threshold multiple described in spike peak value, is designated as first position and the second place, according to the first position and described
The second place calculates the extension siding-to-siding block length of spike, removes the interval null spike of extension;Calculating arbitrarily remains spike
Center frequency point and bandwidth.
Signal center's frequency according to embodiments of the present invention and the evaluation method of bandwidth, by signal spectrum smothing filtering
To solve the problems, such as that spectral ripple is violent, burr is a lot;By peak value searching accurately to determine the center frequency point and bandwidth of signal,
So as to solve signal center's frequency and a bandwidth estimation difficult problem under low signal-to-noise ratio environment.
In addition, the evaluation method of signal center's frequency according to the above embodiment of the present invention and bandwidth, can also have such as
Lower additional technical characteristic:
Further, the receiver antenna is measured using vector network analyzer.
Further, the frequency according to the gain curve of the antenna and the frequency spectrum of the reception signal to the reception signal
Spectrum is compensated.
Further, step S4 is further included:S401:F (k) is obtained into Y (k) by smoothing filter, wherein, F (k)
For the mean value of the absolute value of signal after compensation, Y (k) is the frequency spectrum obtained through smoothing filter process;S402:Will be flat
Frequency spectrum Y (k) after cunning carries out left and right upset and obtains Y ' (k), and Y ' (k) is assigned to Y (k) again;S403:Repeat S401
N frequency spectrums are obtained with S402.
Further, step S5 is further included:Find all spikes peak value Peak (j) and the spike institute of smooth rear frequency spectrum
Position Posi (j), j=1,2 ..., K, K for spike number, for any one spike Peak (j):It is located from spike
Position Posi (j) start, respectively to from left to right search first less than C × Peak (j) point, its position is designated as respectively
BandL (j) and bandR (j), wherein C is the threshold value of setting, 0<C<1;If spike left side is not searched less than C × Peak (j)
Point, or spike left side search procedure in occur in that frequency spectrum value more than spike peak (j) situation, make bandL (j) be equal to
posi(j);If spike right side does not search in the point less than C × Peak (j), or spike right side search procedure and occurs in that frequency
Spectrum value then makes bandR (j) be equal to posi (j) more than the situation of spike peak (j).
Further, if bandL (j) is equal to posi (j) and bandR (j) is not equal to posi (j), bandR is made
J () is equal to posi (j);If bandR (j) is equal to posi (j) and bandL (j) is not equal to posi (j), bandL (j) is made
Equal to posi (j).
Further, step S6 is further included:Siding-to-siding block length bandW (j) for calculating spike peak (j) extension is equal to
BandR (j) deducts bandL (j);Remove the null spikes of bandW (j);For the spike for arbitrarily remaining, with reference to frequency sweep
Frequency band range, center frequency point and bandwidth of the interval computation spike to induction signal is extended according to spike.
The additional aspect and advantage of the present invention will be set forth in part in the description, and partly will become from the following description
Obtain substantially, or recognized by the practice of the present invention.
Description of the drawings
The above-mentioned and/or additional aspect and advantage of the present invention will become from the description with reference to accompanying drawings below to embodiment
It is substantially and easy to understand, wherein:
Fig. 1 is the flow chart of the evaluation method of signal center's frequency and bandwidth of one embodiment of the invention.
Fig. 2 is 200 frequency sweeps are obtained in 860MHz~880MHz frequency bands signal through Fourier transformation and after compensating
Absolute spectra mean value.
Fig. 3 is 12nd frequency spectrum of the frequency spectrum of Fig. 2 after multiple smothing filtering and upset.
Fig. 4 is that the rear all of spike of frequency spectrum and the corresponding extension interval of all spikes are smoothed shown in Fig. 3.
Fig. 5 is to remove in Fig. 4 spike and extend siding-to-siding block length to be after zero spike, the final center frequency point for obtaining and bandwidth
The result of estimation.
Fig. 6 is 200 frequency sweeps are obtained in 950MHz~970MHz frequency bands signal through Fourier transformation and after compensating
Absolute spectra mean value.
Fig. 7 is 12nd frequency spectrum of the frequency spectrum of Fig. 6 after multiple smothing filtering and upset.
Fig. 8 is that the rear all of spike of frequency spectrum and the corresponding extension interval of all spikes are smoothed shown in Fig. 7.
Fig. 9 is to remove in Fig. 8 spike and extend siding-to-siding block length to be after zero spike, the final center frequency point for obtaining and bandwidth
The result of estimation.
Specific embodiment
Embodiments of the invention are described below in detail, the example of the embodiment is shown in the drawings, wherein from start to finish
Same or similar label represents same or similar element or the element with same or like function.Below with reference to attached
The embodiment of figure description is exemplary, is only used for explaining the present invention, and is not considered as limiting the invention.
In describing the invention, it is to be understood that term " first ", " second " are only used for describing purpose, and can not
It is interpreted as indicating or implying relative importance.
With reference to explained below and accompanying drawing, it will be clear that these and other aspects of embodiments of the invention.In these descriptions
In accompanying drawing, specifically disclose some particular implementations in embodiments of the invention to represent the enforcement for implementing the present invention
Some modes of the principle of example, but it is to be understood that the scope of embodiments of the invention is not limited.Conversely, the present invention
Embodiment includes all changes, modification and the equivalent fallen in the range of the spirit and intension of attached claims.
Below in conjunction with the Description of Drawings present invention.
Fig. 1 is the flow chart of the evaluation method of signal center's frequency and bandwidth of one embodiment of the invention.
S1:Receiver antenna is measured, obtains receiving the gain curve of frequency range internal antenna.
In one embodiment of the invention, receiver antenna is measured using vector network analyzer.Vector net
Network analyzer can be while measuring amplitude information and phase information, can effectively suppress interference and spuious, dynamic range big.
S2:Signal to receiving every time does Fourier transformation and obtains receiving the frequency spectrum of signal;It is bent according to the gain of antenna
Line is compensated to the frequency spectrum for obtaining, to eliminate impact of the antenna gain to signal spectrum.
In one embodiment of the invention, signal compensation is carried out using below equation:
F′m(k)=Fm(k)/s21(k), k=1,2 ..., K
Wherein, FmK () is described the m time receives the frequency spectrum of signal, F 'mK () is the frequency spectrum after compensation, K is reception signal
Frequency spectrum is counted, s21K () is the gain curve of the antenna.
S3:Step S2 is performed a plurality of times, the mean value of the absolute value of signal after repeatedly compensation is taken.
In one embodiment of the invention, the mean value of the absolute value of signal after compensation is calculated by below equation:
Wherein, M is number of repetition, and F (k) is the mean value of the absolute value of signal after compensation.Frequency is centered on Fig. 2
870Hz, the signal obtained for 200 times with frequency sweep in a width of 20MHz (i.e. 860MHz~880MHz) frequency band passes through frequency spectrum after compensation
The mean value of absolute value.As can be seen that 860MHz~880MHz bandwidth memories are in several narrow band signals and a broadband signal,
And this broadband signal is likely to be and is made up of multiple subbands;Due to the impact of noise so that the frequency spectrum of signal exists substantial amounts of
Burr.
S4:The mean value of the absolute value of signal after repeatedly compensation is carried out smoothing for the first time and obtains the first frequency spectrum, left and right is turned over
Turn, again smothing filtering obtains the second frequency spectrum, obtain N frequency spectrums by that analogy, wherein N is even number and for adjustable parameter.
In one embodiment of the invention, step S4 is further included:
S401:Smoothing filter by F (k) by a length for M obtains Y (k), and a kind of computational methods of Y (k) are:
S402:To prevent smothing filtering from causing center frequency point to shift, frequency spectrum Y (k) after smoothing carries out left and right and turns over
Turn to obtain Y ' (k), and Y ' (k) is assigned to Y (k) again;
S403:Repeat S401 and S402 obtains N frequency spectrums.
Fig. 3 gives the 12nd frequency spectrum obtained through 12 smothing filterings and upset of frequency spectrum shown in Fig. 2.As can be seen that
Frequency spectrum after smothing filtering is affected to significantly reduce by burr.
S5:The position that all spike peak values in N frequency spectrums and all spikes are located is obtained, for arbitrary spike, according to
Given threshold starts respectively to scan for N frequency spectrums to from left to right from spike position, finds N frequency spectrums and drops to first
The position of given threshold multiple described in spike peak value, is designated as first position and the second place, according to first position and the second place
The extension siding-to-siding block length of spike is calculated, removes the interval null spike of extension.Fig. 4 gives all points of frequency spectrum of Fig. 3 the 12nd
The extension siding-to-siding block length at peak and spike, wherein thicker rectangle frame represents that the interval spike more than zero of extension is corresponding prolonging
Interval is stretched, other vertical lines represent the corresponding extension interval for extending interval null spike (in order to represent extension in figure
Interval be zero the corresponding extension of spike it is interval, mapping season extends the corresponding extension siding-to-siding block length of interval null spike
For 1).
In one embodiment of the invention, step S5 is further included:Find all spike peak values of smooth rear frequency spectrum
Position Posi (j) that Peak (j) and spike are located, j=1,2 ..., K, K is the number of spike, for any one spike Peak
(j):
From the beginning of position Posi (j) being located from spike, the point of C × Peak (j) is less than first to from left to right search respectively, its
Position is designated as respectively bandL (j) and bandR (j), and wherein C is the threshold value of setting, and 0<C<1.If spike left side is not searched for
Feelings of the frequency spectrum value more than spike peak (j) are occurred in that in the point less than C × Peak (j), or spike left side search procedure
Condition, makes bandL (j) be equal to posi (j);Point less than C × Peak (j), or spike right side are not searched by spike right side
Situation of the frequency spectrum value more than spike peak (j) is occurred in that in search procedure, then makes bandR (j) be equal to posi (j).
To exclude many inspection situations that the frequency spectrum left and right sides is likely to occur, if bandL (j) is equal to posi (j) and bandR
J () is not equal to posi (j), then make bandR (j) be equal to posi (j);If bandR (j) is equal to posi (j) and bandL (j)
It is not equal to posi (j), then makes bandL (j) be equal to posi (j).
S6:For the spike for arbitrarily remaining, with reference to the frequency band range of frequency sweep, according to the spike extension interval computation point
Center frequency point and bandwidth of the peak to induction signal.
In one embodiment of the invention, step S6 is further included:Calculate the siding-to-siding block length that spike peak (j) extends
BandW (j)=bandR (j)-bandL (j), removes null those spikes of bandW (j).Assume the frequency band that receiver is received
Scope is [WL,WR], then for the spike for remaining, bandwidth bandwidth (j) is calculated according to below equation:
Center frequency point freqcenter(j)It is calculated according to below equation:
Fig. 5 gives center frequency point and the bandwidth that all estimations of frequency spectrum shown in Fig. 2 are obtained.Rectangle frame therein is with regard to table
Show the center frequency point and bandwidth that each signal is detected in 860MHz~880MHz bandwidth.Broadband signal therein is divided into
The narrow band signal of 4 relative narrowers, this correspondence two kinds of situation in practice, the first situation is:860MHz~880MHz is true
Real storage has the broadband signal that multiple subbands are constituted at one;Second situation be:It is implicitly present in the range of 860MHz~880MHz
One broadband signal, but because signal to noise ratio is too low, the impact of noise is excessive, causes it to have been partitioned into multiple relative narrowers
Narrow band signal.
In order to further illustrate the high efficiency of algorithm involved in the present invention, Fig. 6~Fig. 9 gives signal according to the present invention
Center and another group of measured result of Survey of Bandwidth Estimation Scheme.The frequency sweep center frequency point for arranging receiver is 960MHz, and Fig. 6 gives
The mean value of absolute value of 200 receipt signal frequency spectrums after compensation, it can be seen that exist two in the frequency band range
Individual narrow band signal.Fig. 7 gives 12nd frequency spectrum of the frequency spectrum described in Fig. 6 after 12 smothing filterings and upset, it can be seen that
Frequency spectrum obvious reduction affected by noise after smoothing.Fig. 8 gives all spikes of the 12nd frequency spectrum described in Fig. 7 and right
The spike answered extends interval, it can be seen that have two to extend the interval spike more than zero and several interval null points of extension
Peak.Fig. 9 gives to remove and extend described in Fig. 8 after interval null spike, signal center's frequency for eventually detecting and
Correspondence bandwidth.
In addition, the evaluation method of signal center's frequency of the embodiment of the present invention and bandwidth other constitute and act on for
All it is known for those skilled in the art, in order to reduce redundancy, does not repeat.
In the description of this specification, reference term " one embodiment ", " some embodiments ", " example ", " specifically show
The description of example " or " some examples " etc. means to combine specific features, structure, material or spy that the embodiment or example are described
Point is contained at least one embodiment of the present invention or example.In this manual, to the schematic representation of above-mentioned term not
Necessarily refer to identical embodiment or example.And, the specific features of description, structure, material or feature can be any
One or more embodiments or example in combine in an appropriate manner.
Although an embodiment of the present invention has been shown and described, it will be understood by those skilled in the art that:Not
These embodiments can be carried out with various changes, modification, replacement and modification in the case of the principle and objective that depart from the present invention, this
The scope of invention is limited by claim and its equivalent.
Claims (7)
1. the evaluation method of a kind of signal center's frequency and bandwidth, it is characterised in that comprise the following steps:
S1:Receiver antenna is measured, obtains receiving the gain curve of frequency range internal antenna;
S2:Signal to receiving every time does Fourier transformation and obtains receiving the frequency spectrum of signal;It is bent according to the gain of the antenna
Line is compensated to the frequency spectrum for obtaining, to eliminate impact of the antenna gain to signal spectrum;
S3:Step S2 is performed a plurality of times, the mean value of the absolute value of signal spectrum after repeatedly compensation is taken;
S4:The mean value of the absolute value of signal after the multiple compensation is carried out into first time smothing filtering and obtains the first frequency spectrum, it is left
Right upset, again smothing filtering obtain the second frequency spectrum, obtain N frequency spectrums by that analogy, wherein N is even number;
S5:The position that all spike peak values and all spikes are located in the N frequency spectrums is obtained, for arbitrary spike, according to setting
Determine threshold value to start respectively to scan for N frequency spectrums to from left to right from spike position, find N frequency spectrums and drop to point first
The position of given threshold multiple described in peak-to-peak value, is designated as first position and the second place, according to the first position and described
The extension siding-to-siding block length of two position calculation spikes, removes the interval null spike of extension;
S6:Calculating arbitrarily remains the center frequency point and bandwidth of spike.
2. the evaluation method of signal center's frequency according to claim 1 and bandwidth, it is characterised in that in step sl,
The receiver antenna is measured using vector network analyzer.
3. the evaluation method of signal center's frequency according to claim 1 and 2 and bandwidth, it is characterised in that according to described
The frequency spectrum of the gain curve of antenna and the reception signal is compensated to the frequency spectrum of the reception signal.
4. the evaluation method of signal center's frequency according to claim 1 and bandwidth, it is characterised in that step S4 is further
Including:
S401:F (k) is obtained into Y (k) by a smoothing filter, wherein, F (k) is the average of the absolute value of signal after compensation
Value, Y (k) is the frequency spectrum obtained through smoothing filter process;
S402:Y (k) is carried out into left and right upset and obtains Y ' (k), and Y ' (k) is assigned to Y (k) again;
S403:Repeat S401 and S402 obtains N frequency spectrums.
5. the evaluation method of signal center's frequency according to claim 1 and bandwidth, it is characterised in that step S5 is further
Including:Position Posi (j) that all spikes peak value Peak (j) and spike for finding smooth rear frequency spectrum are located, j=1,2 ..., K, K
For the number of spike, for any one spike Peak (j):
From the beginning of position Posi (j) being located from spike, the point of C × Peak (j) is less than first to from left to right search respectively, its place
Position is designated as respectively bandL (j) and bandR (j), and wherein C is the threshold value of setting, and 0<C<1;If spike left side does not search low
Situation of the frequency spectrum value more than spike peak (j), order are occurred in that in the point of C × Peak (j), or spike left side search procedure
BandL (j) is equal to posi (j);If spike right side does not search the point less than C × Peak (j), or spike right side was searched for
Situation of the frequency spectrum value more than spike peak (j) is occurred in that in journey, then makes bandR (j) be equal to posi (j).
6. the evaluation method of signal center's frequency according to claim 5 and bandwidth, it is characterised in that
If bandL (j) is equal to posi (j) and bandR (j) is not equal to posi (j), bandR (j) is made to be equal to posi (j);
If bandR (j) is equal to posi (j) and bandL (j) is not equal to posi (j), bandL (j) is made to be equal to posi (j).
7. the evaluation method of signal center's frequency according to claim 6 and bandwidth, it is characterised in that step S6 is further
Including:
Siding-to-siding block length bandW (j) for calculating spike peak (j) extension deducts bandL (j) equal to bandR (j);Remove bandW
(j) null spike;
For the spike for arbitrarily remaining, with reference to the frequency band range of frequency sweep, according to spike extension interval computation spike correspondence
The center frequency point and bandwidth of signal.
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CN113726348A (en) * | 2021-07-21 | 2021-11-30 | 湖南艾科诺维科技有限公司 | Smoothing filtering method and system for radio signal frequency spectrum |
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CN115276693A (en) * | 2022-09-26 | 2022-11-01 | 中孚信息股份有限公司 | Multi-frequency-point multi-bandwidth identification method based on welch |
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