CN107231203B - BER analysis method based on distributed 60GHz indoor communication system - Google Patents

BER analysis method based on distributed 60GHz indoor communication system Download PDF

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CN107231203B
CN107231203B CN201710523185.8A CN201710523185A CN107231203B CN 107231203 B CN107231203 B CN 107231203B CN 201710523185 A CN201710523185 A CN 201710523185A CN 107231203 B CN107231203 B CN 107231203B
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吴彬彬
严鹏
胡阳
陈亢
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Shanghai Shentian Industrial Co ltd
Shanghai Radio Equipment Research Institute
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Abstract

A BER analysis method based on a distributed 60GHz indoor communication system comprises the following steps: s1, building a distributed 60GHz system model by adopting a plurality of remote transmitting antennas; constructing a composite channel fading model according to the built distributed 60GHz system model, wherein a small-scale fading channel in the model follows Nakagami-m distribution, and a large-scale fading channel consists of two parts, namely path loss and shadow fading; s2, according to the composite channel fading model, combining the effective signal-to-noise ratio corresponding to each transmitting antenna to obtain the cumulative distribution function corresponding to each transmitting antenna; s3, selecting the transmitting antenna with the largest signal-to-noise ratio to send signals by adopting an antenna selection algorithm, and obtaining the cumulative distribution function of the effective signal-to-noise ratio corresponding to the transmitting antenna by combining the cumulative distribution function corresponding to the transmitting antenna; and S4, calculating the average BER of the distributed 60GHz system by using a BER formula of an accurate M-QAM modulation mode under an additive white Gaussian noise channel according to the cumulative distribution function of the effective signal-to-noise ratio corresponding to the transmitting antenna with the largest noise ratio.

Description

BER analysis method based on distributed 60GHz indoor communication system
Technical Field
The invention relates to the technical field of digital communication, in particular to a BER (bit error rate) analysis method based on a distributed 60GHz indoor communication system.
Background
With the increasing demand for short-distance high-speed wireless communication, millimeter wave communication (60GHz) becomes a research hotspot. Compared with other short-distance wireless communication, the 60GHz band d millimeter wave (mmW) has a working bandwidth of 7GHz without permission, and can provide high data transmission in Gbps order by only needing a simple signal modulation format. However, water and oxygen in the atmosphere absorb 60GHz radio waves seriously, and millimeter waves have short transmission distance in free space and are only suitable for short-distance communication. Secondly, the frequency of 60GHz is very high, the wavelength is short, and the device is particularly sensitive to the position movement between the receiving and transmitting devices, and can normally work only by adopting a multi-antenna system. A Distributed Antenna System (DAS) uses a multi-antenna technology, and can effectively reduce transmission power, increase channel capacity, reduce transmission error rate and cover communication dead spots. As an open architecture for future wireless communication, distributed antenna systems operating in the millimeter wave band have been increasingly applied to indoor wireless communication networks.
The existing literature studies distributed 60GHz indoor communication systems. Document 1 (tour, hookefu, etc., 60GHz indoor antenna position optimization and antenna selection strategy [ J ] communication technology, 2012,45(10):1-5.) analyzes the channel condition number relationship of a 60GHz multi-antenna system under different link conditions, and proposes an antenna selection strategy based on the channel condition number. Document 2 (Gunn Suseiyi, Liu Sheng Yao, Hongwei, etc.. indoor 60GHz millimeter wave wireless channel parameters and correlation research [ J ] electric wave science reports, 2015,30(4):808 + 813) can predict one parameter from another parameter by using the correlation characteristics of the channel parameters, and provide useful information for the design of 60GHz wireless communication systems. The above studies provide an analysis method for channel modeling and antenna selection schemes, but lack performance analysis of the system and fail to provide a corresponding evaluation method. Patent 1 (distributed antenna system and distributed antenna signal processing method and apparatus, CN201510834379.0, 2015) solves the technical problem of high cost of the distributed antenna system, provides favorable conditions for the application of 60GHz band, but does not perform design analysis on the transmission mechanism of the high-band system. Patent 2 (a method and a device for estimating a channel of a MIMO system in a 60GHz indoor scene, CN201610076606, 2016) proposes a channel estimation selection algorithm, which simplifies the complexity of the original channel estimation method, but lacks a design scheme for a system transceiver. Patent 3 (remote distributed antenna system, CN201480030493.1, 2014) provides a distributed antenna system that frequency shifts the output of one or more microcells to 60GHz for transmission to a distributed antenna set, which is only applicable in microcells and cannot satisfy a variety of situations. With the development of 60GHz communication systems, the research content of the existing literature will not meet the actual demand.
Disclosure of Invention
The invention aims to provide a BER (bit error rate) analysis method based on a distributed 60GHz indoor communication system, which is characterized in that an approximate closed expression of average BER is calculated by using a numerical integration formula according to a composite channel model of the 60GHz indoor communication system, and the BER performance of the 60GHz indoor communication antenna system can be better evaluated through the closed expression.
In order to achieve the purpose, the invention is realized by the following technical scheme:
a BER analysis method based on a distributed 60GHz indoor communication system is characterized by comprising the following steps:
s1, building a distributed 60GHz system model by adopting a plurality of remote transmitting antennas; constructing a composite channel fading model according to the built distributed 60GHz system model, wherein a small-scale fading channel in the model follows Nakagami-m distribution, and a large-scale fading channel consists of two parts, namely path loss and shadow fading;
s2, according to the composite channel fading model, combining the effective signal-to-noise ratio corresponding to each transmitting antenna to obtain the cumulative distribution function corresponding to each transmitting antenna;
s3, selecting the transmitting antenna with the largest signal-to-noise ratio to send signals by adopting an antenna selection algorithm, and obtaining the cumulative distribution function of the effective signal-to-noise ratio corresponding to the transmitting antenna by combining the cumulative distribution function corresponding to the transmitting antenna;
and S4, calculating the average BER of the distributed 60GHz system by using a BER formula of an accurate M-QAM modulation mode under an additive white Gaussian noise channel according to the cumulative distribution function of the effective signal-to-noise ratio corresponding to the transmitting antenna with the largest noise ratio.
The BER analysis method based on the distributed 60GHz indoor communication system, wherein the step S1 specifically includes:
s11, building a distributed 60GHz system model in an indoor unit:
will NtRoot remote transmitting antenna RAi(i＝1,2,....,Nt) The distributed antennas are randomly placed at different indoor positions, and each antenna is connected with an indoor central processing unit;
mobile terminal equipped with NrRoot receiving antenna, ith remote transmitting antenna RAiTransmitting signals, wherein the receiving signals of the mobile terminal are as follows:
Figure BDA0001338003530000031
wherein, yi＝[Yi(1),....,Yi(Nr)]TIs a received signal matrix of the mobile terminal, Yi(j) Indicating the received signal of the jth receiving antenna of the mobile terminal (j is 1 to N)r)，PtTo transmit power, Hi(j) For the ith remote antenna RAiAnd the composite channel coefficient of the jth receiving antenna of the mobile terminal; x is the ith remote antenna RAiThe transmitted signals are normalized to 1; noise matrix ziObeying mean of 0 and variance of N0Complex gaussian distribution of (a);
s12, establishing a composite fading channel model according to the established distributed 60GHz system model:
Figure BDA0001338003530000032
in the formula, gi(j) For the ith remote antenna RAiAnd the small-scale fast fading between the jth receiving antenna of the mobile terminal; siAnd GiRespectively represent the ith remote antenna RAiAnd shadow fading and path loss between mobile terminals.
The BER analysis method based on the distributed 60GHz indoor communication system, wherein the step S2 specifically includes:
s21, obtaining the ith remote antenna RA according to the established composite channel fading modeliAnd effective snr between mobile terminals:
Figure BDA0001338003530000033
wherein omegai＝PtGiSi/N0；γi(j) The channel between the ith transmitting antenna and the jth receiving antenna in the channel vector is obtained;
s22, obtaining the cumulative distribution function of the effective signal-to-noise ratio corresponding to each remote antenna by using a numerical analysis method:
Figure BDA0001338003530000034
wherein the content of the first and second substances,
Figure BDA0001338003530000035
is represented by (a-eta)i) Modified Bessel function of order, m being a parameter of the Nakagami-m distribution.
The BER analysis method based on the distributed 60GHz indoor communication system, wherein the step S3 specifically includes:
s31, selecting the signal-to-noise ratio gamma by adopting the antenna selection technologyiThe largest remote antenna is used for transmitting signals, and the remote transmitting antenna is established;
s32, obtaining the maximum SNR gamma according to the cumulative distribution function of the effective SNR corresponding to each remote antenna obtained in the step S22maxCumulative distribution function of corresponding remote antenna
Figure BDA0001338003530000045
Figure BDA0001338003530000041
The BER analysis method based on the distributed 60GHz indoor communication system, wherein the step S4 specifically includes:
selecting a modulation mode with constellation diagram size M, wherein the BER formula of the accurate M-QAM modulation mode under an additive white Gaussian noise channel is as follows:
Figure BDA0001338003530000042
where erfc (·) is a complementary error function,
Figure BDA0001338003530000044
the BER of the distributed 60GHz indoor communication system is obtained by utilizing a Gauss Laguerre function, wherein the BER is a coefficient related to a modulation mode:
Figure BDA0001338003530000043
wherein x isnAnd ωnRespectively, the base point and the weight of the Laguerre polynomial of the N-th order.
Compared with the prior art, the invention has the following advantages: according to a composite channel model of the 60GHz indoor communication system, an approximate closed expression of the average BER is calculated by using a numerical integration formula, and the BER performance of the 60GHz indoor communication antenna system can be well evaluated through the closed expression.
Drawings
FIG. 1 is a flow chart of a method of the present invention;
FIG. 2 is a distributed 60GHz indoor communication model in an embodiment of the invention;
FIG. 3 is a schematic diagram of a distributed 60GHz indoor communication system in an embodiment of the invention;
fig. 4 is an average BER of a distributed 60GHz indoor communication system in an embodiment of the present invention.
Detailed Description
The present invention will now be further described by way of the following detailed description of a preferred embodiment thereof, taken in conjunction with the accompanying drawings.
As shown in fig. 1, the present invention provides a BER analysis method based on a distributed 60GHz indoor communication system, which includes the following steps:
s1, building a distributed 60GHz system model by adopting a plurality of remote transmitting antennas; constructing a composite channel fading model according to the built distributed 60GHz system model, wherein a small-scale fading channel in the model follows Nakagami-m distribution, and a large-scale fading channel consists of two parts, namely path loss and shadow fading;
s2, according to the composite channel fading model, combining the effective signal-to-noise ratio corresponding to each transmitting antenna to obtain the cumulative distribution function corresponding to each transmitting antenna;
s3, selecting the transmitting antenna with the largest signal-to-noise ratio to send signals by adopting an antenna selection algorithm, and obtaining the cumulative distribution function of the effective signal-to-noise ratio corresponding to the transmitting antenna by combining the cumulative distribution function corresponding to the transmitting antenna;
and S4, calculating the average BER of the distributed 60GHz system by using a BER formula of an accurate M-QAM modulation mode under an additive white Gaussian noise channel according to the cumulative distribution function of the effective signal-to-noise ratio corresponding to the transmitting antenna with the largest noise ratio.
The step S1 specifically includes:
s11, as shown in fig. 2, building a distributed 60GHz system model in an indoor unit, specifically, modeling the indoor unit as a randomly distributed area:
will NtRoot remote transmitting antenna RAi(i＝1,2,....,Nt) The distributed antennas are randomly placed at different indoor positions, and each antenna is connected with an indoor central processing unit through an optical front cable or a coaxial cable;
mobile terminal equipped with NrRoot receiving antenna, ith remote transmitting antenna RAiTransmitting signals, wherein the receiving signals of the mobile terminal are as follows:
Figure BDA0001338003530000051
wherein, yi＝[Yi(1),....,Yi(Nr)]TIs a received signal matrix of the mobile terminal, Yi(j) Indicating the received signal of the jth receiving antenna of the mobile terminal (j is 1 to N)r)，PtTo transmit power, Hi(j) For the ith remoteAntenna RAiAnd the composite channel coefficient of the jth receiving antenna of the mobile terminal; x is the ith remote antenna RAiThe transmitted signals are normalized to 1; noise matrix ziIs subject to a mean of 0 and a variance of N (i.e. the noise between the ith transmitting antenna and the receiving antenna of the mobile terminal)0Complex gaussian distribution.
S12, establishing a composite fading channel model according to the established distributed 60GHz system model:
Figure BDA0001338003530000061
in the formula, gi(j) For the ith remote antenna RAiSmall-scale fast fading between the mobile terminal and the jth receiving antenna obeys Nakagami-m distribution; siAnd GiRespectively represent the ith remote antenna RAiAnd shadow fading and path loss between mobile terminals, wherein the path loss is expressed as:
Figure BDA0001338003530000062
wherein, betaiIndicating the ith remote antenna RAiPath loss exponent of d0Reference distance for far field of antenna, diFor the ith remote antenna RAiAnd the distance between MTs, the antenna far field is a reference distance in the indoor environment in the path loss model.
The shadow fading follows a logarithmic positive-phase distribution, the probability density function of which is expressed as:
Figure BDA0001338003530000063
wherein σi(dB) is 10lg (S)i) ξ ═ 10/ln 10. According to the analysis, the output signal-to-noise ratio of the receiving antenna of the mobile terminal is obtained after the maximum ratio combination
Figure BDA0001338003530000064
Wherein omegai＝PtGiSi/N0. The cumulative distribution function corresponding to the output signal-to-noise ratio is:
Figure BDA0001338003530000065
where m is the parameter μ of the Nakagami-m distributioni＝10lg(PtGi/N0). Since the formula (3) cannot directly obtain a closed solution, the lognormal distribution can be converted by using Gamma distribution, so that the purpose of simplifying calculation can be achieved. The Gamma distribution is:
Figure BDA0001338003530000066
wherein eta isiIs the variance, χiIs the mean value. Using the formula transformation method, formula (5) can be transformed into:
Figure BDA0001338003530000067
wherein the content of the first and second substances,
Figure BDA0001338003530000069
μi＝ξ[lnχi+ψ(ηi)]，
Figure BDA0001338003530000068
is represented by (a-eta)i) Modified Bessel function of order.
The step S2 specifically includes:
s21, obtaining the ith remote antenna RA according to the established composite channel fading modeliAnd effective snr between mobile terminals:
Figure BDA0001338003530000071
wherein omegai＝PtGiSi/N0；γi(j) The channel between the ith transmitting antenna and the jth receiving antenna in the channel vector is obtained;
s22, obtaining the cumulative distribution function of the effective signal-to-noise ratio corresponding to each remote antenna by using a numerical analysis method:
Figure BDA0001338003530000072
wherein the content of the first and second substances,
Figure BDA0001338003530000075
is represented by (a-eta)i) Modified Bessel function of order, m being a parameter of the Nakagami-m distribution.
The step S3 specifically includes:
s31, as shown in fig. 3, is a transmission schematic diagram of a distributed 60GHz indoor communication system, where the data transmission flow from transmitting to receiving is shown in the diagram, and the transmitting end of the system selects an antenna with better channel condition to transmit signals according to the fed-back channel information, that is, the transmitting end of the system selects a signal-to-noise ratio γ by using an antenna selection techniqueiThe largest remote antenna transmits the signal and the remote transmitting antenna is established to maximize the signal-to-noise ratio, so the selection criteria of the antenna are:
Figure BDA0001338003530000077
s32, signal to noise ratio gammaiIndependent of each other, the maximum snr γ is obtained according to the cumulative distribution function of the effective snrs corresponding to the remote antennas obtained in step S22maxCumulative distribution function CDF of the corresponding remote antenna:
Figure BDA0001338003530000073
the step S4 specifically includes:
selecting having a constellation diagramSize MnThe BER formula of the precise M-QAM modulation scheme under an Additive White Gaussian Noise (AWGN) channel is:
Figure BDA0001338003530000074
where erfc (·) is a complementary error function,
Figure BDA0001338003530000084
is the coefficient related to the modulation mode, and BPSK modulation is adopted in this embodiment, then
Figure BDA0001338003530000085
That is, the corresponding value of BPSK modulation in the gaussian channel, and the system BER can be expressed as:
Figure BDA0001338003530000081
obtaining the BER of the distributed 60GHz indoor communication system by using a Gauss Laguerre function:
Figure BDA0001338003530000082
wherein x isnAnd ωnRespectively, the base point and the weight of the Laguerre polynomial of the N-th order. Substituting equation (7) converts equation (14) to:
Figure BDA0001338003530000083
therefore, the average BER in the distributed 60GHz system is obtained, and the influence of large-scale fading and small-scale fading on the system is considered in the design of the method, so that the BER analysis method provided by the invention has better environmental adaptability and can provide an effective calculation method for the performance evaluation of the 60GHz indoor system.
The BER analysis method based on the distributed 60GHz indoor communication system provided by the invention is verified by utilizing a Matlab simulation platform, and the experimental result fully proves the effectiveness of the invention and also embodies the advantages of the invention.
Figure 4 shows the performance evaluation of the average BER in a distributed 60GHz indoor communication system. As can be seen from the figure, as the signal-to-noise ratio increases, the BER correspondingly decreases, the performance is effectively improved, and meanwhile, as m increases, the performance is improved, and the obtained conclusion is consistent with the existing research theory. Therefore, the BER performance calculation method provided by the invention can effectively evaluate the performance of the distributed 60GHz indoor communication system, and the effectiveness of the BER performance calculation method provided by the invention is fully proved.
While the present invention has been described in detail with reference to the preferred embodiments, it should be understood that the above description should not be taken as limiting the invention. Various modifications and alterations to this invention will become apparent to those skilled in the art upon reading the foregoing description. Accordingly, the scope of the invention should be determined from the following claims.

Claims (4)

1. A BER analysis method based on a distributed 60GHz indoor communication system is characterized by comprising the following steps:
s1, building a distributed 60GHz system model by adopting a plurality of remote transmitting antennas; constructing a composite channel fading model according to the built distributed 60GHz system model, wherein a small-scale fading channel in the model follows Nakagami-m distribution, and a large-scale fading channel consists of two parts, namely path loss and shadow fading;
building a distributed 60GHz system model in an indoor unit:
will NtA remote transmitting antenna RAi 1,2tThe distributed antennas are randomly placed at different indoor positions, and each antenna is connected with an indoor central processing unit;
mobile terminal equipped with NrRoot receiving antenna, ith remote transmitting antenna RAiTransmitting signals, wherein the receiving signals of the mobile terminal are as follows:
Figure FDA0002852026660000011
wherein, yi＝[Yi(1),....,Yi(Nr)]TIs a received signal matrix of the mobile terminal, Yi(j) The receiving signal j of j receiving antenna of the mobile terminal is 1-Nr，PtTo transmit power, Hi(j) For the ith remote antenna RAiAnd the composite channel coefficient of the jth receiving antenna of the mobile terminal; x is the ith remote antenna RAiThe transmitted signals are normalized to 1; noise matrix ziObeying mean of 0 and variance of N0Complex gaussian distribution of (a);
according to the built distributed 60GHz system model, a composite fading channel model is built:
Figure FDA0002852026660000012
in the formula, gi(j) For the ith remote antenna RAiAnd the small-scale fast fading between the jth receiving antenna of the mobile terminal; siAnd GiRespectively represent the ith remote antenna RAiAnd shadow fading and path loss between mobile terminals;
s2, according to the composite channel fading model, combining the effective signal-to-noise ratio corresponding to each transmitting antenna to obtain the cumulative distribution function corresponding to each transmitting antenna;
s3, selecting the transmitting antenna with the largest signal-to-noise ratio to send signals by adopting an antenna selection algorithm, and obtaining the cumulative distribution function of the effective signal-to-noise ratio corresponding to the transmitting antenna by combining the cumulative distribution function corresponding to the transmitting antenna;
and S4, calculating the average BER of the distributed 60GHz system by using a BER formula of an accurate M-QAM modulation mode under an additive white Gaussian noise channel according to the cumulative distribution function of the effective signal-to-noise ratio corresponding to the transmitting antenna with the largest signal-to-noise ratio.
2. The BER analysis method based on the distributed 60GHz indoor communication system according to claim 1, wherein the step S2 specifically comprises:
s21, obtaining the ith remote antenna RA according to the established composite channel fading modeliAnd effective snr between mobile terminals:
Figure FDA0002852026660000021
wherein omegai＝PtGiSi/N0；γi(j) The channel between the ith transmitting antenna and the jth receiving antenna in the channel vector is obtained;
s22, obtaining the cumulative distribution function of the effective signal-to-noise ratio corresponding to each remote antenna by using a numerical analysis method:
Figure FDA0002852026660000022
wherein the content of the first and second substances,
Figure FDA0002852026660000023
is represented by a-etaiModified Bessel function of order, m being a parameter of the Nakagami-m distribution.
3. The BER analysis method based on the distributed 60GHz indoor communication system according to claim 2, wherein the step S3 specifically comprises:
s31, selecting the remote antenna with the largest signal-to-noise ratio gamma i to send signals by adopting an antenna selection technology, and establishing a remote sending antenna;
s32, obtaining the maximum SNR gamma according to the cumulative distribution function of the effective SNR corresponding to each remote antenna obtained in the step S22maxCumulative distribution function of corresponding remote antenna
Figure FDA0002852026660000024
Figure FDA0002852026660000025
4. The BER analysis method based on the distributed 60GHz indoor communication system according to claim 3, wherein the step S4 specifically comprises:
selecting a modulation mode with constellation diagram size M, wherein the BER formula of the accurate M-QAM modulation mode under an additive white Gaussian noise channel is as follows:
Figure FDA0002852026660000031
where erfc (·) is a complementary error function,
Figure FDA0002852026660000032
the BER of the distributed 60GHz indoor communication system is obtained by utilizing a Gauss Laguerre function, wherein the BER is a coefficient related to a modulation mode:
Figure FDA0002852026660000033
wherein x isnAnd
Figure DEST_PATH_IMAGE002
respectively, the base point and the weight of the Laguerre polynomial of the N-th order.
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