CN107959644B - Bluetooth signal carrier frequency offset detection method - Google Patents

Bluetooth signal carrier frequency offset detection method Download PDF

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CN107959644B
CN107959644B CN201711113749.7A CN201711113749A CN107959644B CN 107959644 B CN107959644 B CN 107959644B CN 201711113749 A CN201711113749 A CN 201711113749A CN 107959644 B CN107959644 B CN 107959644B
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detected
signal
information block
carrier frequency
frequency offset
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CN107959644A (en
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邓伟
康国庆
王业慧
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Nanjing Ruanyi Testing Technology Co ltd
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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
    • 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

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  • Computer Networks & Wireless Communication (AREA)
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Abstract

The invention relates to a method for detecting carrier frequency offset of a Bluetooth signal, which adopts a brand-new design strategy, can realize the estimation of the carrier frequency offset without demodulating a GFSK signal, and improves the estimation precision of the frequency offset, thereby meeting higher test requirements and calibration requirements.

Description

Bluetooth signal carrier frequency offset detection method
Technical Field
The invention relates to a method for detecting carrier frequency offset of a Bluetooth signal, belonging to the technical field of Bluetooth signal measurement.
Background
The radio frequency performance influences the communication distance and the communication quality of the Bluetooth product, and is a very key test item in performance detection of the Bluetooth product. The bluetooth test specification provides a calculation method for a carrier frequency offset test item in a radio frequency performance test, and as shown in fig. 1, the method firstly searches a leading initial position P of a bluetooth signal0Then demodulating the leading signals, and integrating a plurality of following demodulated leading signals from the center position of the first leading demodulated signal until the half period after the last leading signal is finished; the integration result is considered as the carrier frequency offset of the bluetooth signal. However, the above scheme only uses the mean value of the periodic signal to estimate the carrier frequency offset, and ignores the characteristic that the modulation phase of the bluetooth preamble signal has periodicity, so that the estimation precision is limited.
Disclosure of Invention
The invention aims to solve the technical problem of providing a Bluetooth signal carrier frequency offset detection method which adopts a brand-new design strategy and can effectively improve the detection precision of the Bluetooth signal carrier frequency offset.
The invention adopts the following technical scheme for solving the technical problems: the invention designs a method for detecting carrier frequency offset of a Bluetooth signal, which comprises the following steps:
step A, obtaining one information block of the Bluetooth signal to be detected as the information block to be detected, and determining the initial position P of the leading signal in the information block to be detected0Then entering step B;
step B, based on the initial position P of the leading signal in the information block to be detected0Determining the initial acquisition offset P1，
Figure BDA0001465756750000011
N represents [01] in the preamble signal in the information block to be detected]Or [10]]The length of the binary sequence; then initializing a sampling offset n as 0 and a parameter m as 0, and entering the step C;
step C, aiming at the information block to be detected, obtaining the leading signal (P) therein0+P1Sampling of the + n + mN) position, denoted u (P)0+P1+ n + mN), and then entering the step D;
d, judging whether M is equal to M-1 or not, if so, entering the step F; otherwise, updating by adding 1 according to the value corresponding to m, and returning to the step C; wherein, M represents the number of [01] or [10] binary sequences in the leading signal in the information block to be detected;
step F. adopt un＝[u(P0+P1+n)、…、u(P0+P1+n+(M-1)N)]Constructing a vector unThen entering step G;
g, judging whether N is equal to N-P0-P11, if so, obtaining u0、…、
Figure BDA0001465756750000021
Each vector and go to step H; otherwise, updating by adding 1 for the value corresponding to n, updating by setting 0 for the value corresponding to m, and returning to the step C;
step H, calculating to obtain u0、…、
Figure BDA0001465756750000022
Covariance moment corresponding to vectorMatrix of
Figure BDA0001465756750000023
And to covariance matrices
Figure BDA0001465756750000024
Decomposing the characteristic value to obtain the noise space characteristic vector corresponding to the leading signal in the information block to be detected
Figure BDA0001465756750000025
Then entering step I;
step I. according to
Figure BDA0001465756750000026
And α (ω) ═ 1 ejωNej2ωN… ejω(M-1)N]Based on ω e [ - π, π]Calculating to obtain the maximum value P of P (omega)maxAnd obtaining PmaxDividing the omega value by N to obtain the carrier frequency offset of the Bluetooth signal to be detected; wherein j represents an imaginary unit,
Figure BDA0001465756750000027
is composed of
Figure BDA0001465756750000028
A (ω) of the conjugate matrixHIs the conjugate vector of alpha (omega).
As a preferred technical scheme of the invention: in the step B, the offset is collected at the beginning
Figure BDA0001465756750000029
As a preferred technical scheme of the invention: in the step C, let k equal to P0+P1+n+mN，
Figure BDA00014657567500000210
Where A represents the amplitude of the Bluetooth received signal, ωcIndicating the carrier frequency offset to be estimated and,
Figure BDA00014657567500000211
v (k) Gaussian white noise, exp [ · ], representing the modulation phase of the position of the preamble signal k in the information block to be detected, v (k) Gaussian white noise, representing the position of the preamble signal k in the information block to be detected]Representing an exponential function.
As a preferred technical scheme of the invention: in said step H, for said u0、…、
Figure BDA00014657567500000212
According to
Figure BDA00014657567500000213
Calculating to obtain u0、…、
Figure BDA00014657567500000214
Covariance matrix corresponding to vector
Figure BDA00014657567500000215
Wherein (u)n)HIs unThe conjugate matrix of (2).
As a preferred technical scheme of the invention: in the step H, the covariance matrix is aimed at
Figure BDA00014657567500000216
Decomposing the characteristic value to obtain
Figure BDA00014657567500000217
And further obtain the noise space characteristic matrix corresponding to the leading signal in the information block to be detected
Figure BDA00014657567500000218
Wherein, sigmaNRepresenting a noise space characteristic value corresponding to a preamble signal in an information block to be detected;
Figure BDA00014657567500000219
representing a signal space characteristic matrix corresponding to a preamble signal in an information block to be detected; sigmasRepresenting signal space characteristics corresponding to preamble signals in information blocks to be detectedA characteristic value;
Figure BDA00014657567500000220
is composed of
Figure BDA00014657567500000221
The conjugate matrix of (2).
Compared with the prior art, the application system of the Bluetooth signal carrier frequency offset detection method has the following technical effects by adopting the technical scheme: the method for detecting the carrier frequency offset of the designed Bluetooth signal adopts a brand-new design strategy, and improves the frequency offset estimation precision compared with an integral method recommended by a Bluetooth standard, thereby meeting higher test requirements and calibration requirements.
Drawings
Fig. 1 is a schematic diagram of a prior art carrier frequency offset calculation method;
FIG. 2 is a flowchart illustrating a method for detecting carrier frequency offset of a Bluetooth signal according to the present invention;
fig. 3 is a schematic diagram comparing the results of the bluetooth signal carrier frequency offset detection method and the existing integration method.
Detailed Description
The following description will explain embodiments of the present invention in further detail with reference to the accompanying drawings.
As shown in fig. 2, the present invention designs a method for detecting carrier frequency offset of bluetooth signals, which specifically includes the following steps:
step A, obtaining one information block of the Bluetooth signal to be detected as the information block to be detected, and determining the initial position P of the leading signal in the information block to be detected0Then, step B is entered.
Step B, based on the initial position P of the leading signal in the information block to be detected0Determining initial acquisition offset in practical application
Figure BDA0001465756750000031
N represents [01] in the preamble signal in the information block to be detected]Or [10]]The length of the binary sequence;then, the initial sampling offset n is 0, the parameter m is 0, and step C is performed.
Step C, aiming at the information block to be detected, obtaining the leading signal thereof
Figure BDA0001465756750000032
Sampling of position, note
Figure BDA0001465756750000033
Concrete order
Figure BDA0001465756750000034
Where A represents the amplitude of the Bluetooth received signal, ωcIndicating the carrier frequency offset to be estimated and,
Figure BDA0001465756750000035
v (k) Gaussian white noise, exp [ · ], representing the modulation phase of the position of the preamble signal k in the information block to be detected, v (k) Gaussian white noise, representing the position of the preamble signal k in the information block to be detected]Representing the exponential function and then proceeding to step D.
D, judging whether M is equal to M-1 or not, if so, entering the step F; otherwise, updating by adding 1 according to the value corresponding to m, and returning to the step C; wherein M represents the number of [01] or [10] binary sequences in the preamble signal in the information block to be detected.
Step F. adopt
Figure BDA0001465756750000036
Constructing a vector unThen, step G is entered.
G, judging whether n is equal to
Figure BDA0001465756750000041
If so, u is obtained0、…、
Figure BDA0001465756750000042
Each vector and go to step H; otherwise, updating by adding 1 for the value corresponding to n, updating by setting 0 for the value corresponding to m, and returning to the step C.
Step (ii) ofH. For the u0、…、
Figure BDA0001465756750000043
According to
Figure BDA0001465756750000044
Calculating to obtain u0、…、
Figure BDA0001465756750000045
Covariance matrix corresponding to vector
Figure BDA0001465756750000046
Wherein (u)n)HIs unAnd for covariance matrices
Figure BDA0001465756750000047
Decomposing the characteristic value to obtain the noise space characteristic vector corresponding to the leading signal in the information block to be detected
Figure BDA0001465756750000048
Wherein for covariance matrix
Figure BDA0001465756750000049
Decomposing the characteristic value to obtain
Figure BDA00014657567500000410
And further obtain the noise space characteristic matrix corresponding to the leading signal in the information block to be detected
Figure BDA00014657567500000411
Wherein, sigmaNRepresenting a noise space characteristic value corresponding to a preamble signal in an information block to be detected;
Figure BDA00014657567500000412
representing a signal space characteristic matrix corresponding to a preamble signal in an information block to be detected; sigmasRepresenting a signal space characteristic value corresponding to a preamble signal in an information block to be detected;
Figure BDA00014657567500000413
is composed of
Figure BDA00014657567500000414
A conjugate matrix of (a); then step I is entered.
Step I. according to
Figure BDA00014657567500000415
And α (ω) ═ 1 ejωNej2ωN… ejω(M-1)N]Based on ω e [ - π, π]Calculating to obtain the maximum value P of P (omega)maxAnd obtaining PmaxDividing the omega value by N to obtain the carrier frequency offset of the Bluetooth signal to be detected; wherein j represents an imaginary unit,
Figure BDA00014657567500000416
is composed of
Figure BDA00014657567500000417
A (ω) of the conjugate matrixHIs the conjugate vector of alpha (omega).
The method for detecting the carrier frequency offset of the Bluetooth signal designed by the technical scheme is applied to the practice, as shown in figure 3, the result of the method for detecting the carrier frequency offset of the Bluetooth signal designed by the invention is obviously better than that of the existing integration method, and the mean square value of the frequency estimation error brought by the method for detecting the carrier frequency offset of the Bluetooth signal designed by the invention is obviously lower than that of the existing integration method.
The embodiments of the present invention have been described in detail with reference to the drawings, but the present invention is not limited to the above embodiments, and various changes can be made within the knowledge of those skilled in the art without departing from the gist of the present invention.

Claims (5)

1. A method for detecting carrier frequency offset of Bluetooth signals, comprising the steps of:
step A, obtaining one information block of the Bluetooth signal to be detected as the information block to be detected, and determining the initial position P of the leading signal in the information block to be detected0Then entering step B;
step B, based on the initial position P of the leading signal in the information block to be detected0Determining the initial acquisition offset P1，
Figure FDA0002602665050000011
N represents [01] in the preamble signal in the information block to be detected]Or [10]]The length of the binary sequence; then initializing a sampling offset n as 0 and a parameter m as 0, and entering the step C;
step C, aiming at the information block to be detected, obtaining the leading signal (P) therein0+P1Sampling of the + n + mN) position, denoted u (P)0+P1+ n + mN), and then entering the step D;
d, judging whether M is equal to M-1 or not, if so, entering the step F; otherwise, updating by adding 1 according to the value corresponding to m, and returning to the step C; wherein, M represents the number of [01] or [10] binary sequences in the leading signal in the information block to be detected;
step F. adopt un＝[u(P0+P1+n)、…、u(P0+P1+n+(M-1)N)]Constructing a vector unThen entering step G; g, judging whether N is equal to N-P0-P1-1, if so, obtaining
Figure FDA00026026650500000111
Each vector and go to step H; otherwise, updating by adding 1 for the value corresponding to n, updating by setting 0 for the value corresponding to m, and returning to the step C; step H, calculation and obtaining
Figure FDA0002602665050000012
Covariance matrix corresponding to vector
Figure FDA0002602665050000013
And to covariance matrices
Figure FDA0002602665050000014
Decomposing the characteristic value to obtain the noise space characteristic vector corresponding to the leading signal in the information block to be detected
Figure FDA0002602665050000015
Then entering step I; step I. according to
Figure FDA0002602665050000016
And α (ω) ═ 1 ejωNej2ωN...ejω(M-1)N]Based on ω e [ - π, π]Calculating to obtain the maximum value P of P (omega)maxAnd obtaining PmaxDividing the omega value by N to obtain the carrier frequency offset of the Bluetooth signal to be detected; wherein j represents an imaginary unit, j2＝-1，
Figure FDA0002602665050000017
Is composed of
Figure FDA0002602665050000018
A (ω) of the conjugate matrixHP (ω) represents the signal position corresponding to the carrier frequency offset ω, which is the conjugate vector of α (ω).
2. The method of claim 1, wherein the step of detecting the carrier frequency offset comprises: in the step B, the offset is collected at the beginning
Figure FDA0002602665050000019
3. The method of claim 1, wherein the step of detecting the carrier frequency offset comprises: in the step C, let k equal to P0+P1+n+mN，u(k)＝Aexp[j(ωck+φ(k))]+ v (k), where u (k) tableA sample value indicating the k position of the preamble signal; a represents the amplitude, omega, of the Bluetooth received signalcIndicating the carrier frequency offset to be estimated and,
Figure FDA00026026650500000110
v (k) Gaussian white noise, exp [ · ], representing the modulation phase of the position of the preamble signal k in the information block to be detected, v (k) Gaussian white noise, representing the position of the preamble signal k in the information block to be detected]Representing an exponential function.
4. The method of claim 1, wherein the step of detecting the carrier frequency offset comprises: in the step H, for the
Figure FDA0002602665050000021
According to
Figure FDA0002602665050000022
Is obtained by calculation
Figure FDA0002602665050000023
Covariance matrix corresponding to vector
Figure FDA0002602665050000024
Wherein (u)n)HIs unThe conjugate matrix of (2).
5. The method of claim 1, wherein the step of detecting the carrier frequency offset comprises: in the step H, the covariance matrix is aimed at
Figure FDA0002602665050000025
Decomposing the characteristic value to obtain
Figure FDA0002602665050000026
And further obtain the noise space characteristic matrix corresponding to the leading signal in the information block to be detected
Figure FDA0002602665050000027
Wherein, sigmaNRepresenting a noise space characteristic value corresponding to a preamble signal in an information block to be detected;
Figure FDA0002602665050000028
representing a signal space characteristic matrix corresponding to a preamble signal in an information block to be detected; sigmasRepresenting a signal space characteristic value corresponding to a preamble signal in an information block to be detected;
Figure FDA0002602665050000029
is composed of
Figure FDA00026026650500000210
The conjugate matrix of (2).
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