CN114143796B - Method for signal transmission performance in uplink - Google Patents
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Abstract
The invention discloses a method for signal transmission performance in an uplink, which comprises the following steps: step 1, in the uplink of a wireless network, N devices are uniformly distributed in a circular area with a radius D, a non-orthogonal Hash access protocol is adopted to respectively send signals to a base station in the center of the circular area, and the base station receives signals sent by the devices in a given gap; step 2, in the same time slot, the base station broadcasts a hash problem to the channel, wherein n devices with the requirement of transmitting information acquire the right of accessing the channel after solving the hash problem, and simultaneously the base station allows a plurality of devices to transmit; step 3, the base station receives signals of different devices and then performs dynamic SIC decoding; step 4, calculating to obtain the interruption probability of signal transmission through the instantaneous signal-to-dry ratio; and 5, calculating the throughput of the signal according to the interruption probability of the signal transmission. The calculation time of the method is greatly shortened, and the degree of shortening is increased along with the increase of the network scale.
Description
Technical Field
The invention relates to the technical field of wireless communication, in particular to a method for rapidly evaluating signal transmission performance in an uplink based on a non-orthogonal Hash access protocol.
Background
The blockchain wireless network (B-RAN) integrates blockchain and mobile communication system technology, and can provide safe and reliable wireless resource sharing and access service between the non-trust guaranteed Internet of things devices by utilizing the blockchain. Compared with the current spectrum transaction network cooperation mode, the economic incentive and trust mode of the blockchain wireless network can well eliminate the additional overhead of the intermediate agent, the cooperation among operators does not need to additionally deploy a radio infrastructure, the cost of data access service can be greatly reduced, and the trust relationship between the network and the user is constructed.
At present, most of the random access designs of the internet of things are only applied to the scene that all devices belong to a common carrier, and each node should strictly adhere to a random access protocol in order to improve transmission efficiency. However, in actual practice, the internet of things network typically includes a large number of devices that belong to multiple parties, and the devices cannot trust each other. Therefore, the hash problem is introduced in the random access protocol, and the problem of communication blockage caused by the fact that malicious equipment occupies channel resources in an unauthorized network environment is well solved.
Disclosure of Invention
The technical problem to be solved by the invention is to overcome the defects of the prior art and provide a method for rapidly evaluating the signal transmission performance in an uplink based on a non-orthogonal Hash access protocol, which not only can rapidly obtain the performance index of a system, but also can reveal the influence of network parameters on the information transmission interruption probability and throughput.
The invention adopts the following technical scheme for solving the technical problems:
the method for rapidly evaluating the signal transmission performance in the uplink based on the non-orthogonal Hash access protocol comprises the following steps:
Step 1, in the uplink of a wireless network, N devices are uniformly distributed in a circular area with a radius D, the N devices respectively send signals to a base station in the center of the circular area by adopting a non-orthogonal Hash access protocol, and the base station receives signals sent by the devices in a given gap;
step 2, in the same time slot, the base station broadcasts a hash problem to the channel, wherein n devices with the requirement of transmitting information acquire the right of accessing the channel after solving the hash problem, and simultaneously the base station allows a plurality of devices to transmit;
Step 3, the base station receives signals of different devices and then performs dynamic SIC decoding, the device with the highest instantaneous signal-to-interference-and-noise ratio is preferentially decoded, meanwhile, signals of other devices are regarded as interference signals, if the decoding is successful, the signals of the device are removed from the superimposed signals, and then the other devices are decoded; the superposition signal is the total signal sent by all the devices;
Step 4, calculating to obtain the interruption probability of signal transmission through the instantaneous signal-to-dry ratio;
and 5, calculating the throughput of the signal according to the interruption probability of the signal transmission.
As a further optimization scheme of the method for rapidly evaluating the signal transmission performance in the uplink based on the non-orthogonal hash access protocol, in step 1,
Assuming that in a circular area with a radius D, N uniformly distributed devices are arranged, and respectively transmitting signals to a base station in the center of the area; the signal y received by the base station in a given time slot is noted asWhere d i is the distance between the base station and the ith device for transmitting signals, α is the path loss coefficient, P represents the device transmit power, x i is the signal vector transmitted by the ith device on a complex gaussian channel with zero mean and unit variance, the envelope |h i | of x i follows the rayleigh distribution, w is the zero mean complex gaussian noise vector with variance σ 2, N HA is the device that gets access to the channel, and h i is the channel gain at the time of transmission by the ith device.
As a further optimization scheme of the method for rapidly evaluating the signal transmission performance in the uplink based on the non-orthogonal hash access protocol according to the present invention,
In step2, the probability that N devices obtain the right to access the channel is Wherein N HA is a device that obtains access to the channel,/>
Defining difficulty k as the probability that the device obtains an invalid hash value, k=pr { k i≥ktarget}＝1-ktarget/(kmax+1),ktarget being the target hash value broadcast by the base station and k target∈(0,kmax),ki being the hash value calculated by the i-th device, k max being the maximum value of the target hash value broadcast by the base station, pr being the probability.
As a further optimization scheme of the method for rapidly evaluating the signal transmission performance in the uplink based on the non-orthogonal hash access protocol according to the present invention,
Step 3, defining the probability of successfully decoding signals sent by the equipment by the base station as the probability that the instantaneous signal-to-noise ratio is larger than a correct decoding threshold, wherein the correct decoding threshold gamma 0 is expressed as gamma 0＝2ξ -1, and xi is the target rate in a channel; the instantaneous signal to noise ratio γ i is denoted as γ i＝|hi|2di -αP/σ2.
As a further optimization scheme of the method for rapidly evaluating signal transmission performance in uplink based on non-orthogonal hash access protocol in the present invention, in step 3, assuming that the receiver of the base station receives the transmission signals within three devices at most simultaneously, when there is one device in the channel for transmission, i.e. N HA = 1, the probability w_1 of successful signal reception by the base station is
Wherein,L is the approximation accuracy of Gauss Chebyshev product, σ p、Ck、βk、xk is the parameter, and e is the natural constant.
As a further optimization scheme of the method for rapidly evaluating the signal transmission performance in the uplink based on the non-orthogonal hash access protocol according to the present invention,
In step3, when two devices transmit in the channel, i.e., N HA =2, the two devices are a first device and a second device, and the instantaneous signal-to-noise ratios of the first device and the second device are γ 1、γ2 and γ 1>γ2 respectively; at this time, there are three cases of receiver decoding of the base station:
The probability w_2_1 that the first device and the second device fail to decode correctly is given by the case (1):
Wherein, C l、βl、xl is a parameter, and L is the approximate accuracy of Gauss Chebyshev product;
Case (2) is that the first device decodes correctly, and the probability w_2_2 that the second device fails to decode correctly is:
the case (3) is that the probability w_2_3 that the first device and the second device decode successfully is:
As a further optimization scheme of the method for rapidly evaluating the signal transmission performance in the uplink based on the non-orthogonal hash access protocol according to the present invention,
In step 3, when three devices transmit in the channel, i.e., N HA =3, the three devices are a first device, a second device, and a third device, and the instantaneous signal-to-noise ratios of the first device, the second device, and the third device are γ 1、γ2、γ3, and γ 1>γ2>γ3, respectively; at this time, there are four cases where the receiver decoding of the base station,
The case (1) is that the probability w_3_1 that the first device, the second device, and the third device fail to decode correctly is:
Wherein,
C m、βm、xm is a parameter, and L is the approximate accuracy of Gauss Chebyshev product;
The case (2) is that the first device decodes correctly, and the probability w_3_2 that the second device and the third device fail to decode correctly is:
The case (3) is that the first device and the second device decode correctly, and the probability w_3_3 that the third device fails to decode correctly is:
The probability w_3_4 that the first device, the second device, and the third device decode correctly in case (4) is:
As a further optimization scheme of the method for rapidly evaluating the signal transmission performance in the uplink based on the non-orthogonal hash access protocol according to the present invention,
In step 4, when there is a device transmitting in the channel, the interrupt probability is P out_1 =1-w_1; when two devices transmit simultaneously in the channel, the average outage probability of the first device is P out_2,1 =w_2_1, and the average outage probability of the second device is P out_2,2 =w_2_1+w_2_2; when three devices transmit simultaneously in the channel, the average outage probability of the first device is P out_3,1 =w_3_1, the average outage probability of the second device is P out_3,2 =w_3_1+w_3_2, and the average outage probability of the third device is P out_3,3 =1-w_3_4.
As a further optimization scheme of the method for rapidly evaluating the signal transmission performance in the uplink based on the non-orthogonal hash access protocol according to the present invention,
In step 5, when one device in the channel transmits, the throughput in the channel is ρ 1 =ζwj1; when two devices transmit simultaneously in the channel, the throughput is ρ 2 =ζw2_2+2ζw2_3; when three devices transmit simultaneously in the channel, the throughput is ρ 3 =ζwj3_2+2ζwj3_3+3ζwj3_4.
Compared with the prior art, the technical scheme provided by the invention has the following technical effects:
Compared with the simulation based on a large-scale network model, the method is used for testing the probability of interruption of information transmission and throughput, a numerical solution very close to the Monte Carlo simulation result can be obtained, the calculation time is greatly shortened, and the reduction degree is increased along with the increase of the network scale.
Drawings
Fig. 1 is a graph of channel throughput versus transmission power.
Fig. 2 is a relationship of channel throughput and difficulty value k.
Fig. 3 is a particular flow of a method of evaluating signal transmission performance in the uplink of a non-orthogonal hash access protocol
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention will be described in detail with reference to the accompanying drawings and specific embodiments.
As shown in fig. 3, a method for rapidly evaluating signal transmission performance in an uplink based on a non-orthogonal hash access protocol includes the steps of:
1) Considering an uplink of a wireless network, wherein N devices are uniformly distributed in a circular area with a radius of D, and the N devices respectively transmit signals to a public base station in the center of the area by adopting a non-orthogonal Hash access protocol;
2) In the same time slot, the base station broadcasts a hash problem to the channel, wherein n devices with information transmission requirements acquire the right of accessing the channel after solving the hash problem, and simultaneously the base station allows a plurality of devices to transmit;
3) The base station receives the information of different devices, then carries out dynamic SIC decoding, preferentially decodes the device with high instantaneous signal-to-interference noise ratio, and simultaneously regards the signals of other devices as interference signals, if the decoding is successful, the signals of the user are removed from the superimposed signals, and then the other devices are decoded; the superimposed signal is the total signal transmitted by all devices
4) Calculating the signal transmission interruption probability through the cis-mail drying ratio;
5) Calculating to obtain the throughput of the signal according to the interruption probability of the signal transmission;
Step 1) is described, assuming that in a circular area with radius D, there are N uniformly distributed devices, each of which transmits information to a public base station in the center of the area. The signal received by the base station in a given time slot is recorded as Where d i is the distance between the base station and the i-th transmitting signal device, α is the path loss coefficient, P represents the device transmit power, x i is the signal vector transmitted on the complex gaussian channel with zero mean and unit variance, the envelope |h i | of x i follows the rayleigh distribution, w is the zero mean complex gaussian noise vector with variance σ 2, N HA is the device that gets access to the channel, and h i is the channel gain at the time of transmission by the i-th device.
Step 2), defining difficulty k as probability of obtaining invalid hash value by the device, where k=pr { k i≥ktarget}＝1-ktarget/(kmax+1),ktarget is represented as target hash value broadcast by the base station and k target∈(0,kmax),ki is represented as hash value calculated by the ith device, k max is maximum value of target hash value broadcast by the base station, and Pr { x } is represented as probability. . The probability that N devices obtain transmission right among the N devices isWherein N HA is a device that obtains access rights,/>
Step 3), defining the probability of successfully decoding the signal sent by the equipment by the base station as the probability that the instantaneous signal to noise ratio is larger than the correct decoding threshold, wherein the correct decoding threshold is expressed as gamma 0＝2ξ -1, and xi is the target rate in the channel; the instantaneous signal to noise ratio is denoted gamma i＝|hi|2di -αP/σ2.
Step 3) is described, assuming that the base station receiver receives the transmission signals within three devices at the most, when there is one device in the channel for transmission, i.e. N HA = 1, the probability w_1 of the base station successfully receiving the signals is
Wherein,L is the approximation accuracy of Gauss Chebyshev product, σ p、Ck、βk、xk is the parameter, and e is the natural constant.
Step 3), when two devices transmit in the channel, i.e. N HA =2, the two devices are a first device and a second device, and the instantaneous signal-to-noise ratios of the first device and the second device are γ 1、γ2 and γ 1>γ2 respectively; at this time, there are three cases of base station receiver decoding:
The probability w_2_1 that the first device and the second device fail to decode correctly is given by the case (1):
Wherein, C l、βl、xl is a parameter, and L is the approximate accuracy of Gauss Chebyshev product;
Case (2) is that the first device decodes correctly, and the probability w_2_2 that the second device fails to decode correctly is:
the case (3) is that the probability w_2_3 that the first device and the second device decode successfully is:
Step 3), when three devices transmit in the channel, i.e., N HA =3, the three devices are a first device, a second device, and a third device, and the instantaneous signal-to-noise ratios of the first device, the second device, and the third device are γ 1、γ2、γ3, and γ 1>γ2>γ3, respectively; at this time, there are four cases where the base station receiver decodes, where the case (1) is that the probabilities w_3_1 that the first device, the second device, and the third device fail to decode correctly are:
Wherein,
C m、βm、xm is a parameter, and L is the approximate accuracy of Gauss Chebyshev product;
the case (2) is that the first device decodes correctly, and the probability w_3_2 that the second device and the third device fail to decode correctly is: :
The case (3) is that the first device and the second device decode correctly, and the probability w_3_3 that the third device fails to decode correctly is:
The probability w_3_4 that the first device, the second device, and the third device decode correctly in case (4) is:
step 4), when one device transmits in the channel, the interrupt probability is P out_1 =1-w_1; when two devices transmit simultaneously in the channel, the average outage probability of the first device is P out_2,1 =w_2_1, and the average outage probability of the second device is P out_2,2 =w_2_1+w_2_2; when three devices transmit simultaneously in the channel, the average outage probability of the first device is P out_3,1 =w_3_1, the average outage probability of the second device is P out_3,2 =w_3_1+w_3_2, and the average outage probability of the third device is P out_3,3 =1-w_3_4.
Step 5), when one device in the channel transmits, the throughput in the channel is ρ 1 =ζwj1; when two devices transmit simultaneously in the channel, the throughput is ρ 2 =ζw2_2+2ζw2_3; when three devices transmit simultaneously in the channel, the throughput is ρ 3 =ζwj3_2+2ζwj3_3+3ζwj3_4.
Examples: in a simulation test environment, a base station is simulated, a plurality of devices which are consistent with uniform distribution are distributed in a random distribution mode in the coverage area of the base station, data are transmitted to the base station by utilizing a non-orthogonal Hash access protocol, one device calculates a Hash problem first, the calculated Hash value is lower than a target Hash value, information is uploaded to the base station, and the base station decodes signals transmitted by multiple users sharing the same time-frequency resource by utilizing a SIC receiver. Assuming that the base station decodes information transmitted simultaneously by not more than 3 devices using NOMA technology at most, where the path loss coefficient α=4, the base station coverage d=100deg.m, and the noise power is σ 2 = -104dBm.
By adopting the method disclosed by the invention, the simulation effect is as follows:
It can be seen from fig. 1 that the analytical solution of the throughput of the information transmission given by the method according to the present invention is highly identical to the result of the numerical solution obtained by a large number of Monte Carlo simulations, and that the throughput of the system is significantly improved by applying the method according to the present invention with an increase in transmission power. It can be seen in fig. 2 that the throughput of the system is highest when the optimal difficulty value is reached.
The foregoing is merely illustrative of the present invention, and the present invention is not limited thereto, and any changes or substitutions easily contemplated by those skilled in the art within the scope of the present invention should be included in the scope of the present invention.
Claims (9)
1. A method for rapidly evaluating signal transmission performance in an uplink based on a non-orthogonal hash access protocol, comprising the steps of:
Step 1, in the uplink of a wireless network, N devices are uniformly distributed in a circular area with a radius D, the N devices respectively send signals to a base station in the center of the circular area by adopting a non-orthogonal Hash access protocol, and the base station receives signals sent by the devices in a given gap;
step 2, in the same time slot, the base station broadcasts a hash problem to the channel, wherein n devices with the requirement of transmitting information acquire the right of accessing the channel after solving the hash problem, and simultaneously the base station allows a plurality of devices to transmit;
Step 3, the base station receives signals of different devices and then performs dynamic SIC decoding, the device with the highest instantaneous signal-to-interference-and-noise ratio is preferentially decoded, meanwhile, signals of other devices are regarded as interference signals, if the decoding is successful, the signals of the device are removed from the superimposed signals, and then the other devices are decoded; the superposition signal is the total signal sent by all the devices;
Step 4, calculating to obtain the interruption probability of signal transmission through the instantaneous signal-to-dry ratio;
step 5, calculating to obtain the throughput of the signal according to the interruption probability of the signal transmission;
The hash problem is as follows: defining difficulty k as the probability that the device obtains an invalid hash value, k=pr { k i≥ktarget}＝1-ktarget/(knax+1),ktarget being the target hash value broadcast by the base station and k target∈(0,kmax),ki being the hash value calculated by the i-th device, k max being the maximum value of the target hash value broadcast by the base station, pr being the probability.
2. The method for rapidly evaluating signal transmission performance in an uplink based on a non-orthogonal hash access protocol according to claim 1, wherein in step 1,
Assuming that in a circular area with a radius D, N uniformly distributed devices are arranged, and respectively transmitting signals to a base station in the center of the area; the signal y received by the base station in a given time slot is noted asWhere d i is the distance between the base station and the ith device for transmitting signals, α is the path loss coefficient, P represents the device transmit power, x i is the signal vector transmitted by the ith device on a complex gaussian channel with zero mean and unit variance, the envelope |h i | of x i follows the rayleigh distribution, w is the zero mean complex gaussian noise vector with variance σ 2, N HA is the device that gets access to the channel, and h i is the channel gain at the time of transmission by the ith device.
3. The method for rapid assessment of signal transmission performance in uplink based on non-orthogonal hash access protocol as claimed in claim 1, wherein,
In step2, the probability that N devices obtain the right to access the channel is Wherein N HA is a device that obtains access to the channel,/>
4. The method for rapid assessment of signal transmission performance in uplink based on non-orthogonal hash access protocol as claimed in claim 2, wherein,
Step 3, defining the probability of successfully decoding signals sent by the equipment by the base station as the probability that the instantaneous signal-to-noise ratio is larger than a correct decoding threshold, wherein the correct decoding threshold gamma 0 is expressed as gamma 0＝2ξ -1, and xi is the target rate in a channel; the instantaneous signal to noise ratio γ i is denoted as γ i＝|hi|2di -αP/σ2.
5. The method according to claim 4, wherein in step 3, assuming that the receiver of the base station receives the transmission signals of at most three devices simultaneously, when there is one device in the channel for transmission, i.e., N HA = 1, the probability w_1 that the base station successfully receives the signal is
Wherein,L is the approximation accuracy of Gauss Chebyshev product, σ p、Ck、βk、xk is the parameter, and e is the natural constant.
6. The method for rapid assessment of signal transmission performance in uplink based on non-orthogonal hash access protocol as claimed in claim 4, wherein,
In step3, when two devices transmit in the channel, i.e., N HA =2, the two devices are a first device and a second device, and the instantaneous signal-to-noise ratios of the first device and the second device are γ 1、γ2 and γ 1>γ2 respectively; at this time, there are three cases of receiver decoding of the base station:
The probability w_2_1 that the first device and the second device fail to decode correctly is given by the case (1):
Wherein, C l、βl、xl is a parameter, and L is the approximate accuracy of Gauss Chebyshev product;
Case (2) is that the first device decodes correctly, and the probability w_2_2 that the second device fails to decode correctly is:
the case (3) is that the probability w_2_3 that the first device and the second device decode successfully is:
7. the method for rapid assessment of signal transmission performance in uplink based on non-orthogonal hash access protocol as claimed in claim 4, wherein,
In step 3, when three devices transmit in the channel, i.e., N HA =3, the three devices are a first device, a second device, and a third device, and the instantaneous signal-to-noise ratios of the first device, the second device, and the third device are γ 1、γ2、γ3, and γ 1>γ2>γ3, respectively; at this time, there are four cases where the receiver decoding of the base station,
The case (1) is that the probability w_3_1 that the first device, the second device, and the third device fail to decode correctly is:
Wherein,
C m、βm、xm is a parameter, and L is the approximate accuracy of Gauss Chebyshev product;
The case (2) is that the first device decodes correctly, and the probability w_3_2 that the second device and the third device fail to decode correctly is:
the case (3) is that the first device and the second device decode correctly, and the probability W33 that the third device fails to decode correctly is:
The probability W34 that the case (4) is that the first device, the second device, and the third device are all correctly decoded is:
8. A method for rapidly assessing signal transmission performance in a non-orthogonal hash access protocol based uplink according to claim 5 or 6 or 7,
In step 4, when there is a device transmitting in the channel, the interrupt probability is P out_1 =1-w_1; when two devices transmit simultaneously in the channel, the average outage probability of the first device is P out_2,1 =w_2_1, and the average outage probability of the second device is P out_2,2 =w_2_1+w_2_2; when three devices transmit simultaneously in the channel, the average outage probability of the first device is P out_3,1 =w_3_1, the average outage probability of the second device is P out_3,2 =w_3_1+w_3_2, and the average outage probability of the third device is P out_3,3 =1-w_3_4.
9. A method for rapidly assessing signal transmission performance in a non-orthogonal hash access protocol based uplink according to claim 5 or 6 or 7,
In step 5, when one device in the channel transmits, the throughput in the channel is ρ 1 =ζwj1; when two devices transmit simultaneously in the channel, the throughput is ρ 2 =ζw2_2+2ζw2_3; when three devices transmit simultaneously in the channel, the throughput is ρ 3 =ζwj3_2+2ζwj3_3+3ζwj3_4.
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