Disclosure of Invention
Aiming at the current situation of the prior art, the invention provides a combined geosynchronous orbit/low orbit double-layer satellite network transmission method and system based on self-adaptive non-orthogonal multiple access, which are applied to GEO satellites, LEO satellites, cellular users and wireless access points. The invention belongs to the field of satellite wireless communication, in the invention, a GEO satellite directly transmits a signal sG to an LEO satellite and a cellular user, wherein,Representing the solution desire. LEO satellites employ decode-and-forward (DF) relay protocols, which exploit their decoding and re-encoding capabilities to improve communication reliability. The LEO satellite then transmits a signal sG to the cellular user using an adaptive NOMA technique. In addition, the cellular user utilizes a maximum ratio combining scheme to decode signals from LEO satellites and GEO satellites. The power allocation factor of the adaptive NOMA technique is determined by channel fading, path loss, co-channel interference, and elevation changes during LEO satellite motion in the communication link.
The invention adopts the following technical scheme:
The invention relates to a combined earth synchronous orbit/low orbit double-layer satellite network transmission method based on self-adaptive non-orthogonal multiple access, wherein the network consists of a GEO satellite, a LEO satellite, a cellular user and a plurality of wireless access points. The present invention considers two users with different channel conditions, a user with good channel conditions (CUN) and a user with poor channel conditions (CUF). Furthermore, all devices are equipped with a single antenna. The midpoint between two cellular subscribers is denoted as U0,hL and hG, respectively, the elevation of the LEO satellite and GEO satellite from the ground, rE is the earth radius, dGL is the distance of the GEO-LEO link,Representing the distance between LEO and U0. Further, β ε [ βmin,βmax ] is used to represent the average elevation angle of LEO satellites observed by cellular users. By using GEO satellite-earth center as reference lineRepresents the polar angle of LEO satellite motion, i.e., the angle between the L2 -O line and the S-O line, where,Further, assuming that a wireless access point in a terrestrial cellular network shares licensed spectrum with cellular users, the wireless access point may generate co-channel interference to the cellular users. Co-channel interference can cause the received signal to be disturbed, thereby degrading signal quality. The specific technical scheme of the invention is as follows:
the method for transmitting the combined geosynchronous orbit and low orbit double-layer satellite network comprises the following steps:
s1, a geosynchronous orbit GEO satellite transmits signals to a low orbit LEO satellite and a cellular user;
s2, the LEO satellite and the cellular user receive signals transmitted by the GEO satellite;
s3, the LEO satellite adopts a decoding forwarding relay protocol and an adaptive NOMA to send signals to the cellular user;
And S4, the cellular user receives signals forwarded by the LEO satellite, and the received signals from the GEO satellite and the LEO satellite are combined in a maximum ratio combination mode.
Preferably, in step S1, the GEO satellite transmits signals SG, m e { N, F } directly to LEO satellites and cellular subscribers (Um) (a set threshold, denoted by UN, greater than or equal to the threshold, indicating a subscriber with a better channel state, and a smaller threshold, denoted by UF, indicating a subscriber with a better channel state).
Preferably, in step S2, the signals received by the LEO satellite and the cellular user Um may be expressed asWhere HGl and HGU represent channel coefficients for the GEO-LEO link and the GEO-cellular user link, respectively. PG is the transmit power of the GEO satellite. Nm represents the number of wireless access points interfering with the cellular user. sj denotes an interfering signal of the j-th wireless access point, wherein,Pa is the fixed transmit power of all wireless access points. nLRepresenting additive white gaussian noise at LEO satellites and cellular subscribers respectively,The LEO satellite and cellular user have received signal-to-noise ratios (SNR) ofWherein, thePL denotes the transmission power of the LEO satellite, PG denotes the transmission power of the GEO satellite,Is co-channel interference experienced by cellular users, wherein the signal-to-noise ratio of a wireless access pointPa represents the transmission power of the wireless access point, hj,bm represents the channel coefficient of the jth wireless access point to Um link.
Preferably, in step S2, the channel coefficients of the GEO-LEO link are expressed asWherein GG and GL respectively represent antenna gains of GEO satellite and LEO satellite, channel attenuation coefficient of GEO-LEO link is represented as |hGL|2, andRepresenting the path loss factor of a GEO-LEO link, wherein c is approximately 3 multiplied by 108 m/s, representing the speed of light, fc representing the carrier frequency, KB=1.38×10-23 J/K being the Bozmann constant, Tn representing the noise temperature of the LEO satellite, Bc representing the carrier bandwidth, dGL representing the distance of the GEO satellite from the LEO satellite;
PDF and CDF of i hGL|2 are denoted as:
Wherein K represents a rice factor;
Considering the path loss and channel fast fading of a GEO satellite-terrestrial link, the channel coefficients of that link are expressed asWherein GG and GU represent antenna gains for GEO satellites and cellular users, respectively; representing the path loss factor of GEO satellites and cellular user links,Where dGU represents the distance of the GEO satellite from the cellular user, |hGU|2 is the channel attenuation coefficient of the satellite-to-earth link, PDF and CDF are expressed as:
wherein, theThe average power of the LOS component in the satellite-to-ground link is denoted by Ωs, the average power of the multipath component is denoted by 2ns, ms represents the Nakagami parameter, and represents the degree of shadowing affecting the channel,1F1 (; ·; ·) and γ (·), are the converging super-geometric function and the lower incomplete gamma function, respectively.
Preferably, in step S2, the distance of the GEO-LEO link is:
Wherein the polar angleSatisfy the following requirementsAndHL denotes LEO satellite altitude, hG denotes GEO satellite altitude, rE denotes earth radius, LEO satellite angular velocity is considered constant over the entire visible window, noted ω, by the formulaObtaining polar angleIs uniformly distributed within the satellite visibility duration t, which is marked astmin<t<tmax。
Preferably, in step S3, the channel state between the user and the satellite is changed in view of the high-speed motion of the LEO satellite. Channel coefficients for low-orbit satellite and cellular subscriber link, respectivelyAndRepresentation (channel coefficient with better channel state isThe channel coefficient with poor channel state is). CUN and CUF are defined to represent a user with a better channel state and a user with a worse channel state, respectively (by setting a threshold, for example, the channel state is better and the channel state is worse than or equal to the threshold, and the channel state is worse than the threshold). The present invention represents the power allocation coefficients of CUN and CUF as aN and aF, respectively, according to the definition of NOMA technology, where aF≥aN,aN+aF =1. Thus, let m ε { N, F }, the received signals of CUN and CUF are comprehensively represented as:
Where sF represents the signal transmitted by LEO to CUF, sN represents the signal transmitted by LEO to CUN, sj represents the signal transmitted by the jth wireless access point to CUN, sk represents the signal transmitted by the kth wireless access point to CUF, hj,bm represents the channel coefficient of the jth wireless access point to CUN link, and hk,bm represents the channel coefficient of the kth wireless access point to CUF link. The number of wireless access points of interference CUN is NN and the number of wireless access points of interference CUF is NF.
Preferably, in step S3, the path loss and channel fast fading of the LEO satellite-terrestrial link are taken into account, the channel coefficients of the link being expressed asWherein GL represents the antenna gain of the GEO satellite; representing the path loss factor of the LEO satellite and cellular user link,Wherein, theRepresenting the distance of the LEO satellite from the cellular user; Is the channel attenuation coefficient of the LEO satellite-ground link, PDF and CDF are expressed as:
The PDF closed expression of the same-frequency interference suffered by the user is obtained by deduction through a small-parameter approximation method:
wherein, theIn order to normalize the parameters,The number of wireless access points Nm of interfering cellular subscribers is a positive integer, (2Nm -1) | represents a double-order multiplication of (2Nm -1); representing the SNR of the wireless access point in the system.
Preferably, in step S4, the present invention decodes the signal SN using a complete serial interference cancellation (Successive Interference Cancellation, SIC) scheme at CUN, i.e., the SF signal can be completely eliminated at CUN. The signal-to-interference-plus-noise ratio (SINR) of CUN is expressed asIN denotes co-channel interference to which CUN is subjected. The adaptive NOMA power distribution technology is characterized in that a dynamic power distribution scheme is designed for ensuring fairness of power distribution, namely, balancing channel capacity of two cellular users. The power distribution factor is dynamically adjusted along with the channel state, satellite elevation angle and same-frequency interference variation, so that the differential power distribution of different user dynamic channels is realized. According to the NOMA principle, the signal sN received by CUF can be directly regarded as interference, so that the SINR of CUF isIF denotes co-channel interference to which CUF is subjected. Combining the received signals from GEO satellites and LEO satellites using a maximal ratio combining approach, the SNR of CUN and CUF can be expressed as:
In order to obtain the propagation loss of each link, the invention provides a distance distribution model of each link. In addition, considering the moving LEO satellite, an elevation distribution model of the LEO satellite is provided, and the model specifically comprises the steps of introducing the definition of the duration of a satellite visible window, deducing a cumulative distribution function expression of the elevation of the LEO satellite, and deriving a probability density function expression of the elevation by the cumulative distribution function.
The distance of the GEO-LEO link is:
Wherein the polar angleSatisfy the following requirementsAndHL denotes LEO satellite altitude, hG denotes GEO satellite altitude, rE denotes earth radius. The angular velocity of the LEO satellite can be considered constant throughout the visible window, denoted ω. From the formulaIt can be seen that the polar angleIs uniformly distributed within the satellite visibility duration t, which is marked astmin<t<tmax。
Let U0 be the midpoint of CUN and CUF, the distance between the LEO satellite and U0 is calculated as:
Wherein the elevation angle beta satisfies betamin<β<βmax. Betamin >0 can be obtained according to the definition of elevation angle.
Let z represent the horizontal distance between two cellular users, according to the cosine law, the distance between the LEO satellite and the two cellular users can be obtainedAndExpressed as:
The invention provides a Cumulative Distribution Function (CDF) expression of LEO satellite elevation angles, which is as follows:
wherein, theTmax denotes the time when the terrestrial cellular user observes the maximum elevation angle of the LEO satellite, tmin denotes the initial time when the terrestrial user observes the LEO satellite, tβ denotes the time when the elevation angle is β, and χ (tmax) denotes the angular distance of the LEO satellite to the user at time tmax.
The Probability Density Function (PDF) for deriving F (β) to get the elevation β is expressed as:
For different types of links, different channel models need to be used for characterization. Specifically, for an inter-satellite link without shadow occlusion, the present invention selects the rice model to fit. The invention adopts a shadow rice model to describe the star-to-ground link with shadow shielding. Since there are a large number of buildings on the ground, which can be considered as no direct path, the wireless access point-CUm link adopts a rayleigh model.
Long-range satellite communications can result in significant path loss of the inter-satellite link. In addition, the inter-satellite links are susceptible to frequency selective fading (commonly referred to as fast fading) caused by multipath. Thus, the channel coefficients of the GEO-LEO link are expressed asWherein GG and GL represent antenna gains for GEO satellites and LEO satellites, respectively. The channel attenuation coefficient of the GEO-LEO link is denoted as |hGL|2. The invention adoptsRepresenting the path loss factor of the GEO-LEO link. Where c.apprxeq.3.times.10 108 m/s denotes the speed of light and fc denotes the carrier frequency. KB=1.38×10-23 J/K is the Boltzmann constant. In addition, Tn denotes the noise temperature of the LEO satellite, and Bc denotes the carrier bandwidth.
The PDF and CDF distributions of the rice distribution are expressed as:
Wherein K represents the rice factor.
Considering the path loss and channel fast fading of a GEO satellite-terrestrial link, the channel coefficients of that link are expressed asWhere GG and GU represent antenna gains for GEO satellites and cellular users, respectively.Representing the path loss factor of GEO satellites and cellular user links,Where dGU represents the GEO satellite distance from the cellular user. |hGU|2 is the channel attenuation coefficient of the satellite-to-ground link, PDF and CDF are expressed as:
wherein, theThe average power of the LOS component in the satellite-to-ground link is denoted by Ωs and the average power of the multipath component is denoted by 2ns. ms represents the Nakagami parameter and indicates the degree of shadowing affecting the channel.1F1 (. Cndot.; cndot. -) and γ (. Cndot.; cndot.) are the converging super-geometric function and the incomplete gamma function, respectively.
In addition, LEO satellite-terrestrial links also suffer from path loss and channel fast fading, the channel coefficients of the link being expressed asWherein GL represents the antenna gain of the GEO satellite; representing the path loss factor of the LEO satellite and cellular user link,Wherein, theRepresenting the distance of the LEO satellite from the cellular user; is the channel attenuation coefficient of the LEO satellite-ground link, PDF and CDF are expressed as:
The co-channel interference suffered by the user is approximately solved, specifically, the envelope of each wireless access point-user CUm link is expressed as a statistically independent rayleigh random variable, and if the cumulative co-channel interference suffered by the user is calculated, the sum and distribution of these rayleigh random variables must be determined. The small parameter approximation method simplifies complex mathematical expression by neglecting higher-order terms, and the PDF closed expression of the same-frequency interference suffered by the user is derived by using the small parameter approximation method, wherein the PDF closed expression comprises the following steps:
wherein, theIn order to normalize the parameters,The number of wireless access points Nm of interfering cellular users is a positive integer. (2Nm -1) | represents a double-order multiplication of (2Nm -1).Representing the SNR of the wireless access point in the system.
The invention provides a channel capacity of a combined geosynchronous orbit/low orbit double-layer satellite network based on self-adaptive non-orthogonal multiple access. In order to ensure fairness of power allocation, i.e. to equalize channel capacity of two cellular users, the present invention designs a dynamically varying power allocation scheme. The power distribution factor can be dynamically regulated along with factors such as channel state, satellite elevation angle, same-frequency interference and the like, and differential power distribution of dynamic channels of different users is realized.
Channel capacity, which is the maximum transmission rate that can be achieved for error-free communication over a channel, is an indicator of the estimated channel efficiency and information transmission capacity. The channel capacities of CUN and CUF are written as:
wherein, theRepresenting the average channel gain.AndRepresenting the average co-channel interference of CUN and CUF, respectively. Average channel fading coefficient is obtained by adopting expected formAlso, by solving the expected value, the average co-channel interference can be calculated as:
The channel capacities of CUN and CUF are rewritten as:
wherein, the
To ensure fairness of power allocation, i.e., to equalize the channel capacities of CUsN and CUF, power allocation coefficients are derived, denoted as aN and aF, respectively, expressed as:
wherein, the
From the above equation, the power distribution coefficient is affected by co-channel interference, path loss, channel fading, and antenna gain of the transmitter and the receiver.
The invention also discloses a double-layer satellite network transmission system combining the geosynchronous orbit and the low orbit, which is based on the method and comprises the following modules:
The signal transmitting module is used for transmitting signals to the low-orbit LEO satellite and the cellular user by the geosynchronous orbit GEO satellite;
The signal receiving module is used for receiving signals transmitted by the GEO satellite by the LEO satellite and the cellular user;
the LEO satellite adopts a decoding forwarding relay protocol and an adaptive NOMA to send signals to the cellular user;
And the signal receiving and combining module is used for receiving signals forwarded by the LEO satellites by the cellular users and combining the received signals from the GEO satellites and the LEO satellites in a maximum ratio combining mode.
In summary, the invention establishes a combined geosynchronous orbit/low orbit double-layer satellite network transmission method and system based on self-adaptive non-orthogonal multiple access based on self-adaptive cooperative NOMA technology. Considering that the rapid change of satellite-ground distance can be caused by the high-speed movement of the LEO satellite, so that the fluctuation of path loss is caused, the invention provides an elevation distribution model of the LEO satellite, and PDF and CDF of satellite elevation are given. The power distribution factor of the self-adaptive non-orthogonal multiple access technology provided by the patent is dynamically adjusted along with the change of channel state, satellite elevation angle and same-frequency interference, so that the differential power distribution of dynamic channels of different users can be realized, and the spectrum utilization rate and the power distribution fairness are improved.
Detailed Description
In order to better understand the method of the present invention by those skilled in the art, the present invention will be described in further detail with reference to the accompanying drawings and preferred embodiments.
The invention provides a combined geosynchronous orbit/low orbit double-layer satellite network transmission method and system based on self-adaptive non-orthogonal multiple access, and relates to a self-adaptive NOMA technology, wherein a power distribution factor is determined by antenna gain, channel fading, co-channel interference and path loss of a transmitting end and a receiving end. In addition, the invention relates to an elevation distribution analysis method of the LEO satellite, which gives PDF and CDF closed expressions of the elevation of the LEO satellite. The self-adaptive NOMA technology can improve the interruption performance of the double-layer GEO/LEO satellite communication system and can realize fair channel capacity.
The method for transmitting the combined geosynchronous orbit/low orbit double-layer satellite network based on the self-adaptive non-orthogonal multiple access is applied to a cellular user, an LEO satellite relay node and a GEO satellite node, and specifically comprises the following steps of:
Step S101, the GEO satellite transmits radio frequency signals to the LEO satellite and the cellular user respectively.
In this embodiment, the GEO satellite can provide wireless coverage to enable wireless signal transmission with a wireless terminal. The LEO satellite orbit height range is 500 to 1500 km and the GEO satellite orbit height range is 35786 km. The present embodiment does not limit the orbital height of the satellite. The GEO satellite generates transmission signals based on three different frequencies, and the signals are transmitted to the LEO satellite and two cellular users simultaneously by adopting a frequency division multiple access technology, wherein the signals transmitted to the LEO satellite are the combination of the signals of the two cellular users.
Step S102, the LEO satellite and the cellular user receive signals transmitted by the GEO satellite.
In this embodiment, the LEO satellite and the cellular user receive signals from the GEO satellite at the same time, and if the LEO satellite cannot successfully decode the signals or moves to a range that the GEO satellite cannot cover, the transmission is stopped. The cellular subscriber can eventually only receive signals from GEO satellites.
In step S103, the LEO satellite adopts a decode-and-forward (DF) relay protocol and an adaptive NOMA technology to respectively send signals to two cellular users.
In this embodiment, when the LEO satellite transmits signals based on the adaptive NOMA technology, the signals received from the GEO satellite should be converted into two signals based on the same frequency and transmitted to different cellular subscribers. And acquiring the channel states and link distances from the LEO satellite to two cellular users, the elevation angle of the LEO satellite and the channel states of wireless nodes around the cellular users, which generate interference to the LEO satellite. And the LEO satellite distributes power to the signals to be sent to the two users, and the signals are transmitted to the two cellular users by adopting the self-adaptive NOMA technology. Users with better channel conditions (CUN) are allocated a lower proportion of transmit power and users with worse channel conditions (CUF) are allocated a higher proportion of transmit power. The satellite superimposes the signals to generate an aliasing signal, so that the aliasing signal can be transmitted in the same channel, and the transmission throughput and the communication fairness of the system are improved.
It should be noted in particular that the link distance and channel state of LEO satellites from two cellular subscribers varies. The power distribution factor of the self-adaptive NOMA technology provided by the invention changes along with the change of the channel state, and can adapt to the dynamically changed channel state.
Step S104, the cellular user receives the signals forwarded by the LEO satellites and combines the received signals from the GEO satellites and the LEO satellites in a maximum ratio combining mode.
In this embodiment, the cellular subscriber receives a signal forwarded from the LEO satellite, which cannot be received if the LEO satellite fails to decode successfully.
Aiming at the LEO satellite signals, the CUN with better channel state adopts a serial interference elimination technology, firstly eliminates part of signals with higher power in the aliasing signals and sent to the CUF with worse channel state, and the rest signals are the signals required by the CUF without adopting serial interference elimination, and treats part of signals with lower power in the aliasing signals and sent to the CUN as noise for processing. And finally, integrating signals from different signal sources by two users by adopting a maximum ratio combining technology to obtain the respective required signals.
As shown in fig. 3, this embodiment discloses a dual-layer satellite network transmission system combining geosynchronous orbit and low orbit, which comprises the following modules based on the above method embodiment:
The signal transmitting module is used for transmitting signals to the low-orbit LEO satellite and the cellular user by the geosynchronous orbit GEO satellite;
The signal receiving module is used for receiving signals transmitted by the GEO satellite by the LEO satellite and the cellular user;
the LEO satellite adopts a decoding forwarding relay protocol and an adaptive NOMA to send signals to the cellular user;
And the signal receiving and combining module is used for receiving signals forwarded by the LEO satellites by the cellular users and combining the received signals from the GEO satellites and the LEO satellites in a maximum ratio combining mode.
For other content in this embodiment, reference may be made to the above-described method embodiments.
In summary, the invention discloses a combined geosynchronous orbit/low orbit double-layer satellite network transmission method and system based on self-adaptive non-orthogonal multiple access, which are applied to geosynchronous orbit satellites, low orbit satellites, cellular users and wireless access points, and belong to the field of satellite wireless communication. In the present invention, geosynchronous orbit satellites send signals directly to low orbit satellites and to two cellular subscribers. The low orbit satellite obtains the channel state of two users, the link distance and the channel state of wireless nodes which generate interference to the users around the users, designs corresponding self-adaptive power distribution coefficients according to the information, and adopts the self-adaptive non-orthogonal multiple access technology to transmit signals to the two users. The user receives signals from the low orbit satellite and the geosynchronous orbit satellite, and the signals are decoded and integrated by adopting a serial interference cancellation technology and a maximum ratio combining technology. The channel fading of the inter-satellite link is described by a rice model, and the channel fading of the satellite-ground link is described by a shadow rice model. The rayleigh model is used to describe the channel fading of the cellular user-wireless access point link. Furthermore, the present invention introduces the concept of satellite visibility window duration, giving a distribution of low orbit satellite elevation angles. The invention is suitable for a double-layer geosynchronous orbit low-orbit satellite communication network, the power distribution factor of the self-adaptive non-orthogonal multiple access technology is dynamically regulated along with the change of channel state, satellite elevation angle and co-channel interference, the differential power distribution of dynamic channels of different users can be realized, and the frequency spectrum utilization rate and the power distribution fairness are improved.
The above detailed description of the method and system for transmitting a combined geosynchronous orbit/low orbit double-layer satellite network based on adaptive non-orthogonal multiple access provided by the present invention applies the preferred embodiments to illustrate the principle and implementation of the present invention, the above description of the embodiments is only used to help understand the method and core idea of the present invention, and meanwhile, to those skilled in the art, according to the idea of the present invention, there are variations in the specific implementation and application scope, so the present disclosure should not be construed as limiting the present invention.