Background
With the continuous development of mobile communication and broadband wireless access technologies, long term evolution lte (long term evolution) technology becomes the mainstream technology for the development of new-generation mobile communication with the advantages of its high transmission rate, small user plane delay, and support for high-speed movement of a terminal. For cellular mobile communication systems, cell search is the first step of a mobile terminal accessing a wireless network, and is one of the most basic procedures of the physical layer. When the terminal is started up for the first time to access the cell and perform handover, cell search is needed to establish time-frequency synchronization, the number in the physical layer cell group and other system configuration information are obtained, and after the terminal is accessed to the cell, the terminal can receive the cell system information, establish connection and perform a communication process.
LTE cell search is achieved through primary synchronization signal (P-SCH) and secondary synchronization signal (S-SCH) detection. The primary synchronization signal and the secondary synchronization signal are periodically transmitted at a fixed location of each radio frame, and the specific locations thereof are shown in fig. 1. In the frequency domain, the main synchronization signal is generated by a Zadoff-Chu sequence in the frequency domain, and the values are as follows:
<math>
<mrow>
<msub>
<mi>d</mi>
<mi>u</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>n</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mfenced open='{' close=''>
<mtable>
<mtr>
<mtd>
<msup>
<mi>e</mi>
<mrow>
<mo>-</mo>
<mi>j</mi>
<mfrac>
<mrow>
<mi>πun</mi>
<mrow>
<mo>(</mo>
<mi>n</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
</mrow>
<mn>63</mn>
</mfrac>
</mrow>
</msup>
</mtd>
<mtd>
<mi>n</mi>
<mo>=</mo>
<mn>0,1</mn>
<mo>,</mo>
<mo>.</mo>
<mo>.</mo>
<mo>.</mo>
<mo>,</mo>
<mn>30</mn>
</mtd>
</mtr>
<mtr>
<mtd>
<msup>
<mi>e</mi>
<mrow>
<mo>-</mo>
<mi>j</mi>
<mfrac>
<mrow>
<mi>πu</mi>
<mrow>
<mo>(</mo>
<mi>n</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mrow>
<mo>(</mo>
<mi>n</mi>
<mo>+</mo>
<mn>2</mn>
<mo>)</mo>
</mrow>
</mrow>
<mn>63</mn>
</mfrac>
</mrow>
</msup>
</mtd>
<mtd>
<mi>n</mi>
<mo>=</mo>
<mn>31,32</mn>
<mo>,</mo>
<mo>.</mo>
<mo>.</mo>
<mo>.</mo>
<mo>,</mo>
<mn>61</mn>
</mtd>
</mtr>
</mtable>
</mfenced>
</mrow>
</math>
wherein the value of u is numbered by the cell identity group
The specific relationship between the two is determined as shown in the following table one:
watch 1
The primary synchronization signal is located in the middle of the system bandwidth, and occupies 62 subcarriers, and five subcarriers on two adjacent sides of the primary synchronization signal are reserved and not used, and the frequency domain structure is shown in fig. 2.
In both time domain and frequency domain, the primary synchronization signal has good autocorrelation and cross-correlation characteristics, and 3 groups are provided for completing symbol timing and frequency offset correction, and simultaneously carrying the numbered information in the cell identification group. The prior art scheme utilizes the good auto-correlation and cross-correlation properties of the primary synchronization signal for multiple groups (fixed 10 groups)Averaging and combining the positions of the correlation peaks of the continuous 5ms time domain signal and the time domain primary synchronization signal to find the position of the correlation peak with the highest possibility, thereby determining the number in the cell identification group
However, in the LTE system, signals may be configured on multiple frequency bands, specifically please refer to the following table two:
watch two
In each frequency band, the interval of the center frequency points of adjacent channels is 100kHz, and the center frequency point is integral multiple of 100 kHz. LTE has a number of possible bandwidths, including 1.4MHz, 3MHz, 5MHz, 10MHz, 15MHz, and 20 MHz. For each bandwidth configuration, the synchronization signal is located at the middle 0.96MHz of the system bandwidth. The frequency point grid is 100kHz, so that the number of possible center frequency points in each frequency band is large, and the bandwidth is variable, so that the center frequency point is more difficult to determine. Taking band 40 (2300 MHz 2400 MHz) as an example, the possible number of center frequency points is about 1000 (here, the influence at the band boundary is not considered). The existing terminal implementation method is to obtain a group of central frequency point lists (with an interval of 100 kHz) ordered according to the possibility, and then to take out a central frequency point f from the lists in sequenceiAt fiAnd detecting the master synchronization signal. Mainly at fi+ΔfBA primary synchronization signal is detected at the frequency. When | Δ fBIf | is large, the probability that the primary synchronization signal cannot be detected increases sharply, and once f is reachedi+ΔfBThe receiver will jump to the next central frequency point f without detecting the main synchronous signaliContinue to detect because of | fj-fiThis will lose the chance of detecting the synchronization signal ≧ 100 kHz. In addition, in the prior art, when the channel environment is better, 10 groups of 5ms data still need to be received to complete the primary synchronization signalAnd the algorithm time complexity is high in number detection.
Disclosure of Invention
The invention aims to provide a method and a system for detecting a primary synchronization signal in an LTE (long term evolution) system, which aim to solve the problem that the primary synchronization signal is easy to be undetected in the prior art when the frequency offset is large.
In order to solve the above technical problem, the present invention provides a method for detecting a primary synchronization signal in an LTE system, where the method for detecting a primary synchronization signal in an LTE system includes:
configuring search terms, wherein each search term comprises synchronous code root u information and pre-applied frequency offset fofstInformation;
obtaining correlation peak information for the search term, comprising: obtaining pre-applied frequency deviation fofstLower primary synchronization signal and associated power curve | r (tau) of received signal2(ii) a Obtaining a correlation power curve | r (τ) visually2Middle front NmaxPower Pwr [ i ] of maximum correlation peakopt,j]And the position of the correlation peak Pos [ i ]opt,j]Wherein ioptRepresents the search term number, j ∈ {0,1max-1};
And selecting a search term according to the acquired correlation peak information of the search term, and acquiring the main synchronization signal according to the synchronization code root u information in the search term.
Optionally, in the method for detecting a primary synchronization signal in an LTE system, acquiring correlation peak information of an enabling search term further includes: obtaining the accumulated power pwr _ his [ i ] of the correlation peakopt][k]And the degree of positional adjacency of the correlation peaks adj [ i ]opt][k]Where k is the record index.
Optionally, in the method for detecting a primary synchronization signal in an LTE system, the accumulated power pwr _ his [ i ] of a correlation peak is obtainedopt][k]And the degree of positional adjacency of the correlation peaks adj [ i ]opt][k]The method comprises the following steps:
in the same search term number ioptNext, the same correlation peak position Pos [ i ] existsopt,j]While, the accumulated power pwr _ his [ i ]opt][k]According to pwr _ his [ i ]opt][k]=Pwr[iopt,j]+pwr_his[iopt][k]Obtaining; the degree of positional adjacency adj [ i ]opt][k]According to adj [ iopt][k]=adj[iopt][k]X (1+ alpha), wherein 0 < alpha < 1.
Optionally, in the method for detecting a primary synchronization signal in an LTE system, the accumulated power pwr _ his [ i ] of a correlation peak is obtainedopt][k]And the degree of positional adjacency of the correlation peaks adj [ i ]opt][k]Further comprising:
in the same search term number ioptNext, there are adjacent correlation peak positions Pos [ i ]opt,j]While, the accumulated power pwr _ his [ i ]opt][k]According to pwr _ his [ i ]opt][k]=2-(Δ1+β)×Pwr[iopt,j]+pwr_his[iopt][k]Obtaining, wherein delta 1 belongs to {1,2,3}, and beta is more than 1 and less than 3; the degree of positional adjacency adj [ i ]opt][k]According to adj [ iopt][k]=adj[iopt][k]+22-Δ2Obtaining, wherein delta 2 is larger than {1,2 }.
Optionally, in the method for detecting a primary synchronization signal in an LTE system, selecting a search term includes:
obtaining a score [ i ] for a search termopt][k]Wherein, score [ i ]opt][k]=pwr_his[iopt][k]×adj[iopt][k];
Score for search term score [ i ]
opt][k]Sorting and selecting the maximum value
And second maximum value
When in use
When 1 is more than lambda and less than 3, the maximum value is selected
The corresponding search term.
Optionally, in the method for detecting a primary synchronization signal in an LTE system, the maximum value is used
If not selected, the search term score [ i [ ] is assigned
opt][k]And threshold gamma
SCMaking a comparison when the search term is numbered i
optAll score [ i ] below
opt][k]Are all less than a threshold gamma
SCWhen the search term is discarded, wherein
0.125<γ<0.5
Represents all search terms score [ i ]
opt][k]Average value of (a).
Optionally, in the method for detecting a primary synchronization signal in an LTE system, the frequency offset f is pre-addedofstThe value range of (1) is { -15kHz, -7.5kHz,0,7.5kHz,15kHz }.
Optionally, in the method for detecting a primary synchronization signal in the LTE system, the correlation power curve | r (τ) > is obtained as follows2:
Dividing the received time domain signal r (n) into M segments to obtain ri(m), wherein N is 0,1s-1,i=0,1,...M-1;
To ri(m) performing a fast Fourier transform to obtain Ri(k);
To R
i(k) Performing cyclic shift to obtain
Wherein,
obtaining a segment correlation power | ri(τ)|2Wherein <math>
<mrow>
<msup>
<mrow>
<mo>|</mo>
<msub>
<mi>r</mi>
<mi>i</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>τ</mi>
<mo>)</mo>
</mrow>
<mo>|</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>=</mo>
<msup>
<mrow>
<mo>|</mo>
<mi>IFFT</mi>
<mrow>
<mo>(</mo>
<msub>
<mover>
<mi>R</mi>
<mo>~</mo>
</mover>
<mi>i</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
<mo>·</mo>
<mrow>
<mo>(</mo>
<msub>
<mi>P</mi>
<mrow>
<mi>P</mi>
<mo>-</mo>
<mi>SCH</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
<mo>)</mo>
</mrow>
<mo>*</mo>
<mo>)</mo>
</mrow>
<mo>|</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>;</mo>
</mrow>
</math>
for segment correlation power | ri(τ)|2Splicing to obtain the associated power curve | r (tau) converter2。
The invention also provides a primary synchronization signal detection system in the LTE system, which comprises:
a search term configuration module for configuring search terms, each search term including information of synchronization code root u and pre-applied frequency offset fofstInformation;
the correlation peak information acquisition module is used for acquiring correlation peak information of the search term and comprises the following steps: obtaining pre-applied frequency deviation fofstLower primary synchronization signal and associated power curve | r (tau) of received signal2(ii) a Obtaining a correlation power curve | r (τ) visually2Middle front NmaxPower Pwr [ i ] of maximum correlation peakopt,j]And the position of the correlation peak Pos [ i ]opt,j]Wherein ioptRepresents the search term number, j ∈ {0,1max-1};
And the main synchronization signal determining module is used for selecting a search term according to the acquired correlation peak information of the search term and acquiring the main synchronization signal according to the synchronization code root u information in the search term.
Optionally, in the primary synchronization signal detection system in the LTE system, the acquiring of the correlation peak information of the enabling search term by the correlation peak information acquiring module further includes: obtaining the accumulated power pwr _ his [ i ] of the correlation peakopt][k]And the degree of positional adjacency of the correlation peaks adj [ i ]opt][k]Where k is the record index.
Optionally, in the primary synchronization signal detection system in the LTE system, the correlation peak information obtaining module obtains the accumulated power pwr _ his [ i ] of the correlation peakopt][k]And the degree of positional adjacency of the correlation peaks adj [ i ]opt][k]The method comprises the following steps:
in the same search term number ioptNext, the same correlation peak position Pos [ i ] existsopt,j]While, the accumulated power pwr _ his [ i ]opt][k]According to pwr _ his [ i ]opt][k]=Pwr[iopt,j]+pwr_his[iopt][k]Obtaining; the degree of positional adjacency adj [ i ]opt][k]According to adj [ iopt][k]=adj[iopt][k]X (1+ alpha), wherein 0 < alpha < 1.
Optionally, in the primary synchronization signal detection system in the LTE system, the correlation peak information obtaining module obtains the accumulated power pwr _ his [ i ] of the correlation peakopt][k]And degree of positional adjacency of correlation peaksadj[iopt][k]Further comprising:
in the same search term number ioptNext, there are adjacent correlation peak positions Pos [ i ]opt,j]While, the accumulated power pwr _ his [ i ]opt][k]According to pwr _ his [ i ]opt][k]=2-(Δ1+β)×Pwr[iopt,j]+pwr_his[iopt][k]Obtaining, wherein delta 1 belongs to {1,2,3}, and beta is more than 1 and less than 3; the degree of positional adjacency adj [ i ]opt][k]According to adj [ iopt][k]=adj[iopt][k]+22-Δ2Obtaining, wherein delta 2 is larger than {1,2 }.
Optionally, in the primary synchronization signal detection system in the LTE system, the selecting a search term by the primary synchronization signal determining module includes:
obtaining a score [ i ] for a search termopt][k]Wherein, score [ i ]opt][k]=pwr_his[iopt][k]×adj[iopt][k];
Score for search term score [ i ]
opt][k]Sorting and selecting the maximum value
And second maximum value
When in use
When 1 is more than lambda and less than 3, the maximum value is selected
The corresponding search term.
Optionally, in the primary synchronization signal detection system in the LTE system, the primary synchronization signal determining module is configured to determine a maximum value of the primary synchronization signal
If not selected, search terms are selectedScore [ i ]
opt][k]And threshold gamma
SCMaking a comparison when the search term is numbered i
optAll score [ i ] below
opt][k]Are all less than a threshold gamma
SCWhen the search term is discarded, wherein
0.125<γ<0.5
Represents all search terms score [ i ]
opt][k]Average value of (a).
Optionally, in the primary synchronization signal detection system in the LTE system, the pre-offset fofstThe value range of (1) is { -15kHz, -7.5kHz,0,7.5kHz,15kHz }.
Optionally, in the primary synchronization signal detection system in the LTE system, the correlation peak information obtaining module obtains the correlation power curve | r (τ) | n according to the following method2:
Dividing the received time domain signal r (n) into M segments to obtain ri(m), wherein N is 0,1s-1,i=0,1,...M-1;
To ri(m) performing a fast Fourier transform to obtain Ri(k);
To R
i(k) Performing cyclic shift to obtain
Wherein,
obtaining a segment correlation power | ri(τ)|2Wherein <math>
<mrow>
<msup>
<mrow>
<mo>|</mo>
<msub>
<mi>r</mi>
<mi>i</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>τ</mi>
<mo>)</mo>
</mrow>
<mo>|</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>=</mo>
<msup>
<mrow>
<mo>|</mo>
<mi>IFFT</mi>
<mrow>
<mo>(</mo>
<msub>
<mover>
<mi>R</mi>
<mo>~</mo>
</mover>
<mi>i</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
<mo>·</mo>
<mrow>
<mo>(</mo>
<msub>
<mi>P</mi>
<mrow>
<mi>P</mi>
<mo>-</mo>
<mi>SCH</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
<mo>)</mo>
</mrow>
<mo>*</mo>
<mo>)</mo>
</mrow>
<mo>|</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>;</mo>
</mrow>
</math>
for segment correlation power | ri(τ)|2Splicing to obtain the associated power curve | r (tau) converter2。
In the method and system for detecting the primary synchronization signal in the LTE system provided by the invention, the related power curve | r (tau) <' > is not calculation2By pre-biasing fofstThe primary synchronization signal is acquired in relation to the received signal, thereby enabling the use of a pre-offset fofstThe frequency offset between the received signal and the master synchronizing signal is compensated, so that the master synchronizing signal is easy to detect, and the reliability of the detection of the master synchronizing signal is improved.
Detailed Description
The following describes the method and system for detecting a primary synchronization signal in an LTE system in detail with reference to the accompanying drawings and specific embodiments. Advantages and features of the present invention will become apparent from the following description and from the claims. It is to be noted that the drawings are in a very simplified form and are not to precise scale, which is merely for the purpose of facilitating and distinctly claiming the embodiments of the present invention.
Please refer to fig. 3, which is a flowchart illustrating a primary synchronization signal detection method in an LTE system according to an embodiment of the present invention. As shown in fig. 3, the method for detecting a primary synchronization signal in an LTE system includes:
s30: configuring search terms, wherein each search term comprises synchronous code root u information and pre-applied frequency offset fofstInformation;
s31: obtaining correlation peak information for the search term, comprising: obtaining pre-applied frequency deviation fofstLower primary synchronization signal and associated power curve | r (tau) of received signal2(ii) a Obtaining a correlation power curve | r (τ) visually2Middle front NmaxPower Pwr [ i ] of maximum correlation peakopt,j]And the position of the correlation peak Pos [ i ]opt,j]Wherein ioptRepresents the search term number, j ∈ {0,1max-1};
S32: and selecting a search term according to the acquired correlation peak information of the search term, and acquiring the main synchronization signal according to the synchronization code root u information in the search term.
Accordingly, the present embodiment further provides a primary synchronization signal detection system in an LTE system, and specifically, please refer to fig. 4, which is a schematic block diagram of the primary synchronization signal detection system in the LTE system according to the embodiment of the present invention. As shown in fig. 4, the primary synchronization signal detection system in the LTE system includes:
a search term configuration module 40 for configuring search terms, each search term comprising information of synchronization code root u and pre-biased frequency fofstInformation;
the correlation peak information obtaining module 41 is configured to obtain correlation peak information of the search term, and includes: obtaining pre-applied frequency deviation fofstLower primary synchronization signal and associated power curve | r (tau) of received signal2(ii) a Obtaining a correlation power curve | r (τ) visually2Middle front NmaxPower Pwr [ i ] of maximum correlation peakopt,j]And the position of the correlation peak Pos [ i ]opt,j]Wherein ioptRepresents the search term number, j ∈ {0,1max-1};
And the master synchronization signal determining module 42 is configured to select a search term according to the obtained correlation peak information of the search term, and obtain a master synchronization signal from the synchronization code root u information in the search term.
Wherein the synchronization code root u belongs to {25,29,34}, that is, the synchronization code root u and the serial number in the cell identification group
And (7) corresponding. Preferably, the pre-frequency offset f
ofstThe value range of (1) is { -15kHz, -7.5kHz,0,7.5kHz,15kHz }. Here, the pre-biased frequency deviation f is obtained according to the simulation result
ofstThe preferable value range of (1) is { -15kHz, -7.5kHz,0,7.5kHz,15kHz }; in other embodiments of the present invention, the pre-biased frequency offset f is set when the channel state changes
ofstOther frequency values may also be taken.
In this embodiment, each search term may further include an enable signal Flag, and the enable signal Flag is used to indicate whether a correlation peak information acquisition operation needs to be performed on the search term, so that the process may be simplified.
In this embodiment, the correlation peak information enabling the search term is obtainedThe method also comprises the following steps: obtaining the accumulated power pwr _ his [ i ] of the correlation peakopt][k]And the degree of positional adjacency of the correlation peaks adj [ i ]opt][k]Where k is the record index. Here, the adjacency degree adj [ iopt][k]Position Pos [ i ] according to one or more correlation peaks (wherein the correlation peaks are obtained by receiving data for 5ms for multiple times, which is prior art and is not described herein again)opt,j]The spacing/relationship between them is obtained. Wherein the numbers i are based on the same search termoptNext, the difference in the positional relationship between correlation peaks, the accumulated power pwr _ his [ i [ ]opt][k]And the degree of positional adjacency of the correlation peaks adj [ i ]opt][k]The method can be specifically determined by the following method:
in the same search term number ioptNext, the same correlation peak position Pos [ i ] existsopt,j]While, the accumulated power pwr _ his [ i ]opt][k]According to pwr _ his [ i ]opt][k]=Pwr[iopt,j]+pwr_his[iopt][k]Obtaining; the degree of positional adjacency adj [ i ]opt][k]According to adj [ iopt][k]=adj[iopt][k]X (1+ alpha), wherein alpha is more than 0 and less than 1;
in the same search term number ioptNext, there are adjacent correlation peak positions Pos [ i ]opt,j]While, the accumulated power pwr _ his [ i ]opt][k]According to pwr _ his [ i ]opt][k]=2-(Δ1+β)×Pwr[iopt,j]+pwr_his[iopt][k]Obtaining, wherein delta 1 belongs to {1,2,3}, and beta is more than 1 and less than 3; the degree of positional adjacency adj [ i ]opt][k]According to adj [ iopt][k]=adj[iopt][k]+22-Δ2Obtaining, wherein delta 2 is larger than {1,2 }.
In addition, when the same search term number ioptNext, Pos [ i ] can be set when the correlation peaks are neither in the same position nor adjacent to each otheropt,j]And Pwr [ i ]opt,j]And adding the correlation peak information to the end of each search term record, namely performing a record work of the correlation peak information. At the same time, it can also be used for adj [ iopt][k]An initial value is set, which can be selected according to the channel status, for example, an initial value of 8,this application is not limited thereto.
In this embodiment, a search term is specifically selected by the following method, so that the master synchronization signal is obtained from the selected search term:
obtaining a score [ i ] for a search termopt][k]Wherein, score [ i ]opt][k]=pwr_his[iopt][k]×adj[iopt][k];
Score for search term score [ i ]
opt][k]Sorting and selecting the maximum value
And second maximum value
When in use
When 1 is more than lambda and less than 3, the maximum value is selected
The corresponding search term.
Here, the accumulated power pwr _ his [ i ] is passed through the correlation peak
opt][k]And the degree of positional adjacency of the correlation peaks adj [ i ]
opt][k]The performance of the corresponding search term is obtained, here with a score [ i [ ]
opt][k]And (5) characterizing. Satisfied when the search term with the best performance is between the search term with the second best performance
And then, according to the simulation result, the search term with the optimal performance can be selected, so that the main synchronization signal is obtained.
In this embodiment, when a search term cannot be selected temporarily, a search term deletion operation is further performed on a plurality of search terms to be selected, specifically, the following method is implemented:
score the search term score [ i ]
opt][k]And threshold gamma
SCMaking a comparison when the search term is numbered i
optAll score [ i ] below
opt][k]Are all less than a threshold gamma
SCWhen the search term is discarded, wherein
0.125<γ<0.5
Represents all search terms score [ i ]
opt][k]Average value of (a).
By the method, the search terms are deleted to a certain extent until the last search term is left, so that the search term is the selected search term, and the main synchronization signal is determined according to the selected search term.
According to the method, under the optimal condition, the main synchronizing signal can be obtained only by receiving one 5ms of data, so that the detection process of the main synchronizing signal is greatly simplified.
Furthermore, in this embodiment, the correlation power curve | r (τ) is obtained by segmenting the signal2Thereby simplifying calculation of the correlation power curve | r (tau) & lt2The specific method of the acquisition process is as follows:
dividing the received time domain signal r (n) into M segments to obtain ri(m), wherein N is 0,1s-1,i=0,1,...M-1,m=0,1,...NFFT-1; preferably, adjacent segments overlap by NovA sampling point, where M and NovThe value of (a) can be flexibly adjusted according to actual requirements, and is in the last section rM-1(m) end padding 0.
To ri(m) performing a fast Fourier transform to obtain Ri(k);
To R
i(k) Performing cyclic shift to obtain
Wherein,
wherein<·>
NMeaning taking the modulus of the positive integer N, making the sampling rate of the received signal f
sAnd f is and
sadjustable, FFT point number N
FFTCan be adjusted according to actual requirements, then
Adjacent frequency point spacing equal to delta
f=f
s·(N
FFT)
-1Then, there is a relationship: f. of
ofst=Δ
ofst·Δ
f
Obtaining a segment correlation power | ri(τ)|2Wherein <math>
<mrow>
<msup>
<mrow>
<mo>|</mo>
<msub>
<mi>r</mi>
<mi>i</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>τ</mi>
<mo>)</mo>
</mrow>
<mo>|</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>=</mo>
<msup>
<mrow>
<mo>|</mo>
<mi>IFFT</mi>
<mrow>
<mo>(</mo>
<msub>
<mover>
<mi>R</mi>
<mo>~</mo>
</mover>
<mi>i</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
<mo>·</mo>
<mrow>
<mo>(</mo>
<msub>
<mi>P</mi>
<mrow>
<mi>P</mi>
<mo>-</mo>
<mi>SCH</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
<mo>)</mo>
</mrow>
<mo>*</mo>
<mo>)</mo>
</mrow>
<mo>|</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>;</mo>
</mrow>
</math> where (-) is a conjugate operation, IFFT (-) is a fast inverse Fourier transform, PP-SCH(k) Is a primary synchronization code frequency domain signal.
For segment correlation power | ri(τ)|2Splicing to obtain the associated power curve | r (tau) converter2。
Wherein the correlation power curve | r (τ) converter2The acquisition method has the following theoretical basis:
the correlation of the time domain signals x (n) and y (n) is denoted as:
fourier transforms of x (n) and y (n) into X (K) and Y (K), theoretical analysis proves
And X
*(k) Y (k) is a pair of fourier transforms, so correlation can be achieved quickly with an FFT.
In summary, in the present embodiment, the correlation power curve | r (τ) & ltY & gt is zero2By pre-biasing fofstThe primary synchronization signal is acquired in relation to the received signal, thereby enabling the use of a pre-offset fofstThe frequency offset between the received signal and the master synchronizing signal is compensated, so that the master synchronizing signal is easy to detect, and the reliability of the detection of the master synchronizing signal is improved.
The above description is only for the purpose of describing the preferred embodiments of the present invention, and is not intended to limit the scope of the present invention, and any variations and modifications made by those skilled in the art based on the above disclosure are within the scope of the appended claims.