CN105871767B - A kind of inhibition cosine combination window design method of the ofdm system with outward leakage - Google Patents
A kind of inhibition cosine combination window design method of the ofdm system with outward leakage Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
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- H04L27/26—Systems using multi-frequency codes
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- H04L27/2626—Arrangements specific to the transmitter only
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Abstract
The present invention relates to a kind of inhibition cosine combination window design method of the ofdm system with outward leakage, pass through the different cosine combination window function of the transmission signal loading to ofdm system, extrapolate the influence of the gross energy leakage and leakage energy that send signal ofdm system after the load of each cosine combination window function to adjacent frequency band, then by being compared to each other, selection influences the smallest cosine combination window function to adjacent frequency band and is loaded on transmission signal.Method provided by the invention can effectively inhibit ofdm system band outward leakage.
Description
Technical field
The present invention relates to fields of communication technology, more particularly, to a kind of inhibition cosine group of the ofdm system with outward leakage
Close window design method.
Background technique
The bandwidth requirement growing with people with the development of internet, OFDM technology as broadband wireless communications one
Kind core technology has the advantages that anti-multipath jamming, frequency deviation utilization rate is high, data transmission capabilities are strong, but simultaneously, ofdm system
It is very serious with outer energy leakage, such as fail effectively to inhibit system with outer energy leakage, ofdm system will be neighbouring wireless to it
Communication band generates greatly interference, to influence the quality of other frequency band signals transmission.
Ofdm system out-of-band signal energy is lower, and the rate of decay is faster, and the influence to other frequency ranges is with regard to smaller.Therefore,
Windowing process is carried out to ofdm system, it is necessary for reducing the outer energy leakage of system band.And reasonably select suitable window
Function is very helpful to ofdm system band outward leakage is improved.
Summary of the invention
The present invention is to solve the above the deficiencies in the prior art, provides a kind of inhibition cosine group of the ofdm system with outward leakage
Close window design method.
To realize the above goal of the invention, the technical solution adopted is that:
A kind of inhibition cosine combination window design method of the ofdm system with outward leakage, passes through the transmission signal to ofdm system
Different cosine combination window functions is loaded, extrapolates and sends signal ofdm system after the load of each cosine combination window function
The influence of gross energy leakage and leakage energy to adjacent frequency band, then by being compared to each other, selection influences most adjacent frequency band
Small cosine combination window function, which is loaded into, to be sent on signal.
Preferably, the transmission signal is expressed as follows:
Wherein M is the carrier number of ofdm system, AmFor the amplitude of OFDM symbol, fmFor the carrier frequency of corresponding subcarrier；Ts
Indicate the sampling period；
The cosine combination window function is expressed as follows:
Wherein N indicates that the symbol lengths of OFDM, L indicate the order of cosine combination window function, blFor cosine combination window function
Coefficient；
It is expressed as follows after then sending signal loading cosine combination window function:
Fourier transformation is done to x (n), it is as follows to obtain frequency domain presentation Formula X (k):
K indicates subcarrier serial number；
It is based on Fourier transformation as a result, calculate OFDM inband signaling ENERGY EIt is interior total, ofdm system to nearby frequency bands generate energy
Amount leakage influences EIt is outer total；
For taking k point, signal expression is
Wherein b0Indicate coefficient of first order；AkFor the amplitude of signal on k-th of carrier wave of OFDM symbol；
It seeks the energy of the signal and asks its expectation, as follows:
Signal energy:
Energy expectation:
Therefore, gross energy may be expressed as: in signal band
For a certain data point of out of band signal, since signal spectrum peak value appears in subcarrier spacing midpoint,
Taking the point is that representative calculates out-of-band signal energy, such as the midpoint of the i-th carrier wave of ofdm system nearby frequency bands, signal
Expression formula are as follows:
It seeks the energy of the signal and asks its expectation, the method is as follows:
Signal energy expectation:
Therefore, the outer gross energy of signal band can be obtained by the cumulative summation of each data point of nearby frequency bands, be indicated are as follows:
Solve the E after obtaining each cosine combination window function loadIt is interior total、EIt is outer totalAfterwards, by being compared to each other, selection is to neighbouring frequency
Band influences the smallest cosine combination window function and is loaded on transmission signal.
Preferably, the E after obtaining each cosine combination window function load is determinedIt is interior total、EIt is outer totalAfterwards, different cosine composite windows are calculated
Each coefficient b of functionlWith EIt is interior total、EIt is outer totalRelationship, obtain each coefficient of different cosine combination window functions and EIt is interior total、EIt is outer totalSimulation curve；
Then select to influence the smallest cosine combination window function as loading function to adjacent frequency band, and be based on simulation curve find it is optimal
Window coefficient b0, then other coefficients are sought, the process sought is as follows:
Compared with prior art, the beneficial effects of the present invention are:
The inband signaling Energy expectation value and signal band outward leakage energy that the present invention is found out using multiple OFDM symbols statistics
Desired value determines cosine by comparing the relationship with inside and outside signal energy and system to the performance requirement inhibited with external leakage
Combination window function and its corresponding coefficient, and finally determine cosine combination window function.Method provided by the invention can be effectively
Inhibit ofdm system band outward leakage.
Detailed description of the invention
The flow chart that Fig. 1 present invention realizes.
Fig. 2 ofdm system always reveals energy with three rank cosine combination window function index variation schematic diagrames
The outer energy leakage of Fig. 3 band is with three rank cosine combination window function index variation schematic diagrames.
The outer energy leakage of Fig. 4 band illustrates system gross energy leakage accounting with three rank cosine combination window function index variations
Figure.
Fig. 5 ofdm system always reveals energy with quadravalence cosine combination window function index variation schematic diagram
The outer energy leakage of Fig. 6 band is with quadravalence cosine combination window function index variation schematic diagram.
The outer energy leakage of Fig. 7 band illustrates system gross energy leakage accounting with quadravalence cosine combination window function index variation
Figure.
Specific embodiment
The attached figures are only used for illustrative purposes and cannot be understood as limitating the patent；
Below in conjunction with drawings and examples, the present invention is further elaborated.
Embodiment 1
As shown in Figure 1, ofdm system is inhibited to pass through the hair to ofdm system with the cosine combination window design method of outward leakage
The cosine combination window function that signal loading is different is sent, extrapolates and sends signal OFDM after the load of each cosine combination window function
Influence of the energy to adjacent frequency band is revealed and revealed to the gross energy of system, then by being compared to each other, selects to adjacent frequency band
The smallest cosine combination window function is influenced to be loaded on transmission signal.
Wherein, when influence of the energy to adjacent frequency band is revealed and revealed to the gross energy for considering ofdm system, mainly
Consider OFDM inband signaling ENERGY EIt is interior total, ofdm system on nearby frequency bands generate energy leakage influence EIt is outer total；The tool of the two parameters
Body solution procedure is as follows:
The transmission signal is expressed as follows:
Wherein M is the carrier number of ofdm system, AmFor the amplitude of OFDM symbol, fmFor the carrier frequency of corresponding subcarrier；
The cosine combination window function is expressed as follows:
Wherein N indicates that the symbol lengths of OFDM, L indicate the order of cosine combination window function, blFor cosine combination window function
Coefficient；
It is expressed as follows after then sending signal loading cosine combination window function:
Fourier transformation is done to x (n), it is as follows to obtain frequency domain presentation Formula X (k):
K indicates subcarrier serial number；
Again because when N > > 1 when, havee±iπ=-1, e±i2π=1 therefore, and above formula can abbreviation
To be shown below:
It is based on Fourier transformation as a result, calculate OFDM inband signaling ENERGY EIt is interior total, ofdm system to nearby frequency bands generate energy
Amount leakage influences EIt is outer total；
For taking k point, signal expression is
Wherein b0Indicate coefficient of first order；AkFor the amplitude of signal on k-th of carrier wave of OFDM symbol；
It seeks the energy of the signal and asks its expectation, as follows:
Signal energy:
Energy expectation:
Therefore, gross energy may be expressed as: in signal band
For a certain data point of out of band signal, since signal spectrum peak value appears in subcarrier spacing midpoint,
Taking the point is that representative calculates out-of-band signal energy, such as the midpoint of the i-th carrier wave of ofdm system nearby frequency bands, signal
Expression formula are as follows:
It seeks the energy of the signaling point and asks its expectation, the method is as follows:
Signal energy expectation:
Therefore, the outer gross energy of signal band can be obtained by the cumulative summation of each data point of nearby frequency bands, be indicated are as follows:
In the present embodiment, the E after obtaining each cosine combination window function load is determinedIt is interior total、EIt is outer totalAfterwards, different cosine groups are calculated
Close each coefficient b of window functionlWith EIt is interior total、EIt is outer totalRelationship, obtain each coefficient of different cosine combination window functions and EIt is interior total、EIt is outer totalEmulation it is bent
Line, as shown in Fig. 2~7；Then it selects to influence the smallest cosine combination window function as loading function to adjacent frequency band, for example,
When requiring the gross energy of system to reveal minimum, corresponding window function coefficient curve in Fig. 2 may be selected, acquire corresponding minimum leakage
The coefficient of first order b of three rank window functions under gross energy0；It is optional when requiring energy minimum of the system to adjacent band interference
Corresponding window function coefficient curve in Fig. 3 is selected, the coefficient of first order b of three rank window functions under corresponding least energy accounting is acquired0；
Such as when requiring system leakage energy to account for itself gross energy accounting minimum, the coefficient curve for corresponding to window function in Fig. 4 may be selected, ask
The coefficient of first order b of three rank window functions under least energy accounting must be corresponded to0。
Then other coefficients are sought, the process sought is as follows:
Experiment simulation shows: when performance requirement is selected as ofdm system to nearby frequency bands energy interference minimum, with this hair
Bright added cosine combination window function with outer energy leakage, be plus when Hanning window energy leakage 88.24%, be Hamming window energy
The 85.71% of leakage, is the 85.89% of Caesar's window energy leakage；It selects ofdm system to account for gross energy to band outward leakage when system to let out
When revealing ratio minimum, with the ratio for accounting for gross energy leakage with outer energy leakage of cosine combination window function added by the present invention, it is
Energy leakage accounts for the 65.37% of the ratio of gross energy leakage when adding Hanning window, is the 80.49% of Hamming window, is Caesar's window
67.45%.
To sum up, method provided by the invention can effectively inhibit ofdm system band outward leakage.
Obviously, the above embodiment of the present invention be only to clearly illustrate example of the present invention, and not be pair
The restriction of embodiments of the present invention.For those of ordinary skill in the art, may be used also on the basis of the above description
To make other variations or changes in different ways.There is no necessity and possibility to exhaust all the enbodiments.It is all this
Made any modifications, equivalent replacements, and improvements etc., should be included in the claims in the present invention within the spirit and principle of invention
Protection scope within.
Claims (2)
1. a kind of inhibition cosine combination window design method of the ofdm system with outward leakage, it is characterised in that: by ofdm system
The different cosine combination window function of transmission signal loading, extrapolate and send signal after the load of each cosine combination window function
Influence of the energy to adjacent frequency band is revealed and revealed to the gross energy of ofdm system, then by being compared to each other, selects to neighbouring
Frequency band influences the smallest cosine combination window function and is loaded on transmission signal；
The transmission signal is expressed as follows:
Wherein M is the carrier number of ofdm system, AmFor the amplitude of OFDM symbol, fmFor the carrier frequency of corresponding subcarrier；TsIt indicates
Sampling period；
The cosine combination window function is expressed as follows:
Wherein N indicates that the symbol lengths of OFDM, L indicate the order of cosine combination window function, blWhat it is for cosine combination window function is
Number；
It is expressed as follows after then sending signal loading cosine combination window function:
Fourier transformation is done to x (n), it is as follows to obtain frequency domain presentation Formula X (k):
K indicates subcarrier serial number；
It is based on Fourier transformation as a result, calculate OFDM inband signaling ENERGY EIt is interior total, ofdm system to nearby frequency bands generate energy let out
Dew influences EIt is outer total；
For taking k point, signal expression is
Wherein b0Indicate coefficient of first order, AkFor the amplitude of signal on k-th of carrier wave of OFDM symbol；
It seeks the energy of the signal and asks its expectation, as follows:
Signal energy:
Energy expectation:
Therefore, gross energy may be expressed as: in signal band
For a certain data point of out of band signal, since signal spectrum peak value appears in subcarrier spacing midpoint, this is taken
Point is that representative calculates out-of-band signal energy, such as the midpoint of the i-th carrier wave of ofdm system nearby frequency bands, signal representation
Formula are as follows:
It seeks the energy of the signal and asks its expectation, the method is as follows:
Signal energy expectation:
Therefore, the outer gross energy of signal band can be obtained by the cumulative summation of each data point of nearby frequency bands, be indicated are as follows:
Solve the E after obtaining each cosine combination window function loadIt is interior total、EIt is outer totalAfterwards, it by being compared to each other, selects to adjacent frequency band shadow
The smallest cosine combination window function is rung to be loaded on transmission signal.
2. inhibition cosine combination window design method of the ofdm system with outward leakage according to claim 1, it is characterised in that:
Determine the E after obtaining each cosine combination window function loadIt is interior total、EIt is outer totalAfterwards, different each coefficient b of cosine combination window function are calculatedl
With EIt is interior total、EIt is outer totalRelationship, obtain each coefficient of different cosine combination window functions and EIt is interior total、EIt is outer totalSimulation curve；Then it selects to neighbour
Nearly frequency band influences the smallest cosine combination window function as loading function, and optimal window coefficient b is found based on simulation curve0,
Then other coefficients are sought, the process sought is as follows:
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Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101076966A (en) * | 2004-12-28 | 2007-11-21 | 中兴通讯股份有限公司 | Method for inhibiting carrier interference of orthogonal frequency-division multiplexing telecommunication system |
| CN104181389A (en) * | 2014-07-02 | 2014-12-03 | 中国农业大学 | Phasor measurement method in electric-power system |
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| US7869530B2 (en) * | 2006-07-05 | 2011-01-11 | The Directv Group, Inc. | Method for suppression of OFDM energy spectral density for minimization of out of band emission or utilization of fractured spectrum |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101076966A (en) * | 2004-12-28 | 2007-11-21 | 中兴通讯股份有限公司 | Method for inhibiting carrier interference of orthogonal frequency-division multiplexing telecommunication system |
| CN104181389A (en) * | 2014-07-02 | 2014-12-03 | 中国农业大学 | Phasor measurement method in electric-power system |
Non-Patent Citations (2)
| Title |
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| 加窗离散傅里叶变换性能分析和对比;汪伟等;《现代电子技术》;20120201;第3.2、4节 |
| 轮胎动平衡在线检测试验机研制及其关键技术研究;杨静芳;《中国博士学位论文全文数据库（工程科技Ⅱ辑）》;20160115;第3.4节 |
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