CN109618336A - A kind of key extraction method in frequency division duplex system - Google Patents
A kind of key extraction method in frequency division duplex system Download PDFInfo
- Publication number
- CN109618336A CN109618336A CN201910067771.5A CN201910067771A CN109618336A CN 109618336 A CN109618336 A CN 109618336A CN 201910067771 A CN201910067771 A CN 201910067771A CN 109618336 A CN109618336 A CN 109618336A
- Authority
- CN
- China
- Prior art keywords
- channel
- downlink
- covariance matrix
- key
- uplink
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
Classifications
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W12/00—Security arrangements; Authentication; Protecting privacy or anonymity
- H04W12/02—Protecting privacy or anonymity, e.g. protecting personally identifiable information [PII]
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
- H04L9/0861—Generation of secret information including derivation or calculation of cryptographic keys or passwords
- H04L9/0875—Generation of secret information including derivation or calculation of cryptographic keys or passwords based on channel impulse response [CIR]
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04W—WIRELESS COMMUNICATION NETWORKS
- H04W12/00—Security arrangements; Authentication; Protecting privacy or anonymity
- H04W12/04—Key management, e.g. using generic bootstrapping architecture [GBA]
Landscapes
- Engineering & Computer Science (AREA)
- Computer Security & Cryptography (AREA)
- Computer Networks & Wireless Communication (AREA)
- Signal Processing (AREA)
- Mobile Radio Communication Systems (AREA)
Abstract
The invention discloses the key extraction methods in a kind of frequency division duplex system, comprising the following steps: (1) downlink side's pilot signal transmitted in the up direction communicating pair in communicating pair；(2) pilot signal carries out channel estimation based on the received for downlink side, obtain instant angle and angular power spectrum density, and it is sent to uplink side after calculating the covariance matrix of up channel according to instant angle and power azimuth spectrum density, covariance matrix of downlink channel is derived further according to the covariance matrix of up channel；(3) vector quantization that uplink side constitutes the nonzero eigenvalue of the covariance matrix of up channel is at key bit, and the vector quantization that downlink side constitutes the nonzero eigenvalue of covariance matrix of downlink channel is at key bit；(4) uplink side and downlink side carry out information reconciliation and privacy amplification to the key bit after quantization respectively, obtain consistent key.The present invention is safe and effective.
Description
Technical field
The present invention relates to be based on uplink and downlink in wireless communication and field of information encryption more particularly to a kind of frequency division duplex system
The key extraction method of covariance matrix construction channel reciprocity.
Background technique
The reciprocity of wireless channel can be used as natural stochastic source, symmetrical for being extracted based on radio channel characteristic value
Key generates.The generation of wireless channel key refers to legitimate correspondence user both sides, by sending and receiving training sequence, obtain with
Machine wireless channel, common channel characteristics generate key between the two for utilization, may bring so as to avoid because of cipher key delivery
Information leakage.In addition, when the distance between illegal eavesdropper and legitimate correspondence user are more than 1/2 wavelength, listener-in's observation
To channel characteristics and legitimate receiver between the channel characteristics that observe can be considered incoherent, have high safety.
Since the key needs that legitimate correspondence both sides respectively independently generate are with uniformity, it is therefore desirable to the channel parameter of reciprocity.
In time division duplex (TDD) system, when duplex times are spaced far is less than channel coherency time, wireless uplink and downlink letter
Road coefficient has intrinsic height reciprocity.However, uplink and downlink uses different transmitting pins in frequency division duplex (FDD) system
Rate carries out data transmission and reception.It is dry to prevent uplink and downlink channel from generating interchannel that frequency interval is provided between two frequency bands
It disturbs, and this frequency interval is typically much deeper than the coherence bandwidth of channel, therefore the feature of uplink and downlink channel has very big difference.
Since the channel characteristics of frequency division duplex (FDD) do not have higher reciprocity, it will lead to that extract the obtained key bit error rate higher,
So the generation of wireless channel key is difficult to be suitable for frequency division duplex (FDD) system.
The prior art there are it is a kind of using passback method building reciprocity compound channel parametric technique come obtain randomness,
The high key of consistency, but there are the risks of information leakage for these methods.If listener-in be truncated to legitimate receiver it
Between return all information in agreement, just have very maximum probability that can deduce the key of legitimate receiver generation.
Summary of the invention
Goal of the invention: in view of the problems of the existing technology, the key provided in a kind of frequency division duplex system mentions the present invention
Method is taken, safely and effectively.
Technical solution: key extraction method in frequency division duplex system of the present invention the following steps are included:
(1) downlink side's pilot signal transmitted in the up direction communicating pair in communicating pair；
(2) pilot signal carries out channel estimation based on the received for downlink side, obtains instant angle and angular power spectrum density,
And it is sent to uplink side after calculating the covariance matrix of up channel according to instant angle and power azimuth spectrum density, further according to
The covariance matrix of up channel derives covariance matrix of downlink channel；
(3) vector quantization that uplink side constitutes the nonzero eigenvalue of the covariance matrix of up channel is at key bit,
The vector quantization that downlink side constitutes the nonzero eigenvalue of covariance matrix of downlink channel is at key bit；
(4) uplink side and downlink side carry out information reconciliation and privacy amplification to the key bit after quantization respectively, obtain
Consistent key.
Further, the association of up channel is calculated described in step (2) according to instant angle and power azimuth spectrum density
Variance matrix, the calculation formula specifically used are as follows:
In formula,For the covariance matrix of up channel,For the angle domain range of up channel path angle,For angular power spectrum density,For the array response vector on angle, θ,For instant angle, fUL、fDLRespectively
Uplink, downstream channel frequency, d are antenna spacing, and λ is carrier wavelength, f0For centre carrier frequency, M is downlink side's antenna amount.
Further, covariance matrix of downlink channel is derived according to the covariance matrix of up channel in step (2), institute
The calculation formula of use are as follows:
In formula,For the covariance matrix of uplink and downlink channel,For instant angle,For frequency translation pair
Angular moment battle array, fUL、fDLRespectively uplink, downstream channel frequency, d are antenna spacing, and λ is carrier wavelength, f0For centre carrier frequency,
M is downlink side's antenna amount.
Further, if downlink side's receiving antenna is Homogeneous Circular array, also pass through regularization least mean-square error pair
The spatial signature vectors of up channel are reevaluated.
Further, in step (3), quantify the method for key are as follows: use 2nA quantization level is by the non-of covariance matrix
The vector that zero feature is constituted carries out uniform quantization, and the decimal value obtained after quantization is then converted to binary bits,
In, n=M, M is downlink side's antenna amount.
Further, in step (4), the information reconciles to be encoded using LDPC, specific implementation method are as follows: communicating pair point
The obtained bit stream of quantization rear piecemeal is not rearranged into according to specified sequence, uplink side is by the recombination bit stream of oneself after piecemeal
Downlink side is sent to its even-odd check, and downlink side receives after check information and oneself is compared, for recombination ratio
Unmatched position is corrected in spy's stream.
Further, in step (4), the privacy amplification uses hash function, specific implementation method are as follows: under up direction
Row side sends the quantity of hash function, and then communicating pair carries out hash function to the respective bit stream after information reconciles
Operation.
The utility model has the advantages that compared with prior art, the present invention its remarkable advantage is:
1, the present invention provides construct channel reciprocity based on uplink and downlink covariance matrix in a kind of frequency division duplex system
Cipher key-extraction scheme realizes a kind of safe and efficient FDD from the new angle of wireless channel second-order statistic compared with the prior art
System key generation method has filled up the technological gap in this field.Propagation according to uplink and downlink channel in frequency division duplex system
The essentially identical principle in path, using uplink and downlink channel instant parameter angle domain equivalence relation and uplink and downlink channel angle
The similar correlation of the height of power spectrum is calculated the covariance matrix of up channel, and is pushed away by frequency translation diagonal matrix
It leads to obtain the covariance matrix of down channel, and reciprocity possessed by uplink and downlink channel covariance matrices is quantized into key ratio
Spy's stream, is reconciled by information and privacy is amplified, and has effectively obtained the key with high randomness and consistency.
2, present invention communicating pair during constructing channel reciprocity characteristic value has no any information of leakage, listener-in
Identical channel coefficients can not be obtained.Therefore, on the basis of the present invention the channel characteristic value of the reciprocity is converted to the nothing of key
Line channel key generates scheme and has tight security.
3, the key based on uplink and downlink covariance matrix construction channel reciprocity in frequency division duplex system proposed by the present invention
Extraction scheme is suitable for broadband and multiple antennas frequency division duplex system.
Detailed description of the invention
Fig. 1 is the flow diagram of one embodiment of the present of invention.
Specific embodiment
Present embodiment discloses the key extraction methods in a kind of frequency division duplex system, as shown in Figure 1, including following step
It is rapid:
(1) downlink side's pilot signal transmitted in the up direction communicating pair in communicating pair.
Wherein, the uplink side in communicating pair can be the equipment such as mobile phone, and downlink side can be the equipment such as base station.
(2) pilot signal carries out channel estimation based on the received for downlink side, obtains instant angle and angular power spectrum density,
And it is sent to uplink side after calculating the covariance matrix of up channel according to instant angle and power azimuth spectrum density, further according to
The covariance matrix of up channel derives covariance matrix of downlink channel.
Wherein, the covariance matrix that up channel is calculated according to instant angle and power azimuth spectrum densitometer, specifically uses
Calculation formula are as follows:
Covariance matrix of downlink channel, used calculation formula are derived according to the covariance matrix of up channel are as follows:
In formula,The respectively covariance matrix of uplink and downlink channel,For the angle of up channel path angle
Domain range is spent,For angular power spectrum density,For the array response vector on angle, θ, fUL、fDLOn respectively
Row, downstream channel frequency, d are antenna spacing, and λ is carrier wavelength, f0For centre carrier frequency, M is downlink side's antenna amount,
For instant angle, expression angle of arrival/leave angle, respectively using communicating pair as observation angle, and on same propagation path
Angle of arrival is equal with angle is left.
If downlink side's receiving antenna is Homogeneous Circular array, also by regularization least mean-square error to up channel
Spatial signature vectors are reevaluated.Regularization coefficient γ > 0 is introduced, is obtained
In formula,Downlink and uplink channel between respectively i-th of user and j-th of base station
Covariance matrix isWithThe expression on l paths between i-th of user and j-th of base station,
λUL、λDLThe respectively carrier wavelength of uplink and downlink channel, a (θijl,λDL) it is down channel spatial signature vectors, T is uplink and downlink letter
Frequency translation matrix between road, QijFor the maximum angle of arrival number of paths of signal strength, a ' (θijl,λUL)=a (θijl,λUL)+
E=αijls(θijl,λUL)+e, e is unknown complex vector located, the θ for describing uplink and downlink channel space feature vector and mismatching effectijlIt is
Reach the angle of downlink side, αijlIt is fading gains, s (θijl,λUL) it is array response.Turn different from the frequency of uniform linear array
Matrix is moved, Homogeneous Circular array needs to solve the frequency translation matrix T optimized.Definition:
AUL=[a (θij1,λUL),a(θij2,λUL),…,α(θijP,λUL)]∈CM×P
ADL=[a (θij1,λDL),a(θij2,λDL),…,a(θijP,λDL)]∈CM×P
E=[e (θij1),e(θij2),…,e(θijP)]∈CM×P
AUL、ADL, E be respectively uplink, the true spatial signature vectors of down channel and up channel spatial signature vectors
Disturbance.The optimization of frequency translation matrix is the uncertain E, matrix T (A made by solution T for maximum possibleUL+ E) and
ADLBetween difference Frobenius norm minimum, wherein the Frobenius norm of E is limited by regularization coefficient γ, i.e. ‖ E ‖
≤γ.The mathematical problem for seeking the optimal solution of frequency translation matrix T can be expressed as form:Obey ‖ E ‖≤γ.
(3) vector quantization that uplink side constitutes the nonzero eigenvalue of the covariance matrix of up channel is at key bit,
The vector quantization that downlink side constitutes the nonzero eigenvalue of covariance matrix of downlink channel is at key bit.
Wherein, byWithDiagonal matrix characteristic it is found that uplink and downlink channel covariancc square
The characteristic value of battle arrayTherefore the available symmetric key being made of nonzero eigenvalue
WithK=1 ..., K is the observation path number by K scattering cluster (assuming that every observation road
Diameter passes through a scattering cluster).
Again by symmetric keyQuantization, quantifies the method for key are as follows: uses 2nA quantization level will
Carry out uniform quantization, it may be assumed that
In formula, Q () be non-unifonn quantization function, n=M；
Then the decimal value that will be obtained after quantizationIt is converted to binary bits
(4) uplink side and downlink side carry out information reconciliation and privacy amplification to the key bit after quantization respectively, obtain
Consistent key.
Wherein, the information reconciles is encoded using LDPC, specific implementation method are as follows: what communicating pair respectively obtained quantization
Bit stream rearranges rear piecemeal according to specified sequence, and uplink side is by the recombination bit stream of oneself after piecemealAnd its
Even-odd check σULIt is sent to downlink side, downlink side receives check informationAnd σULLater with oneselfIt is compared, unmatched position in recombination bit stream is corrected, the bit stream after correcting is
The bit stream of corresponding uplink side is
Wherein, the privacy amplification uses hash function, specific implementation method are as follows: up direction downlink side sends Hash letter
NumberQuantity mUL, mUL=mDL, then communicating pair is to the respective bit stream after information reconcilesWithCarry out hash function operation
Above disclosed is only a preferred embodiment of the present invention, and the right model of the present invention cannot be limited with this
It encloses, therefore equivalent changes made in accordance with the claims of the present invention, is still within the scope of the present invention.
Claims (7)
1. the key extraction method in a kind of frequency division duplex system, it is characterised in that the following steps are included:
(1) downlink side's pilot signal transmitted in the up direction communicating pair in communicating pair；
(2) pilot signal carries out channel estimation based on the received for downlink side, obtains instant angle and angular power spectrum density, and root
It is sent to uplink side after calculating the covariance matrix of up channel according to instant angle and power azimuth spectrum density, further according to uplink
The covariance matrix of channel derives covariance matrix of downlink channel；
(3) vector quantization that uplink side constitutes the nonzero eigenvalue of the covariance matrix of up channel is at key bit, downlink
The vector quantization that side constitutes the nonzero eigenvalue of covariance matrix of downlink channel is at key bit；
(4) uplink side and downlink side carry out information reconciliation and privacy amplification to the key bit after quantization respectively, obtain consistent
Key.
2. the key extraction method in frequency division duplex system according to claim 1, it is characterised in that: institute in step (2)
State the covariance matrix that up channel is calculated according to instant angle and power azimuth spectrum density, the calculation formula specifically used
Are as follows:
In formula,For the covariance matrix of up channel,For the angle domain range of up channel path angle,For
Angular power spectrum density,For the array response vector on angle, θ,For instant angle, fUL、fDLRespectively uplink, under
Row channel frequency, d are antenna spacing, and λ is carrier wavelength, f0For centre carrier frequency, M is downlink side's antenna amount.
3. the key extraction method in frequency division duplex system according to claim 1, it is characterised in that: root in step (2)
Covariance matrix of downlink channel, used calculation formula are derived according to the covariance matrix of up channel are as follows:
In formula,For the covariance matrix of uplink and downlink channel,For instant angle,It is frequency translation to angular moment
Battle array, fUL、fDLRespectively uplink, downstream channel frequency, d are antenna spacing, and λ is carrier wavelength, f0For centre carrier frequency, M is
Downlink side's antenna amount.
4. the key extraction method in frequency division duplex system according to claim 1, it is characterised in that: if downlink side receives
Antenna is Homogeneous Circular array, then is also carried out again by spatial signature vectors of the regularization least mean-square error to up channel
Estimation.
5. the key extraction method in frequency division duplex system according to claim 1, it is characterised in that: in step (3), amount
Change the method for key are as follows: use 2nThe vector that a quantization level constitutes the non-zero characteristics of covariance matrix carries out uniform quantization,
Then the decimal value obtained after quantization is converted to binary bits, wherein n=M, M is downlink side's antenna amount.
6. the key extraction method in frequency division duplex system according to claim 1, it is characterised in that: in step (4), institute
It states information to reconcile using LDPC coding, specific implementation method are as follows: the bit stream that communicating pair respectively obtains quantization is according to specified
Sequence rearranges rear piecemeal, and the recombination bit stream of oneself and its even-odd check are sent to downlink side by uplink side after piecemeal, under
Row side receives after check information and oneself is compared, and corrects for recombinating unmatched position in bit stream.
7. the key extraction method in frequency division duplex system according to claim 1, it is characterised in that: in step (4), institute
Privacy amplification is stated using hash function, specific implementation method are as follows: up direction downlink side sends the quantity of hash function, then leads to
Believe that both sides carry out hash function operation to the respective bit stream after information reconciles.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910067771.5A CN109618336A (en) | 2019-01-24 | 2019-01-24 | A kind of key extraction method in frequency division duplex system |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910067771.5A CN109618336A (en) | 2019-01-24 | 2019-01-24 | A kind of key extraction method in frequency division duplex system |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN109618336A true CN109618336A (en) | 2019-04-12 |
Family
ID=66020529
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201910067771.5A Pending CN109618336A (en) | 2019-01-24 | 2019-01-24 | A kind of key extraction method in frequency division duplex system |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN109618336A (en) |
Cited By (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110166232A (en) * | 2019-05-07 | 2019-08-23 | 东南大学 | Wireless channel key randomness Enhancement Method based on amplitude remainder |
| CN111464299A (en) * | 2020-04-01 | 2020-07-28 | 电子科技大学 | Physical layer key generation method for constructing reciprocal channel parameters based on frequency division duplex mode |
| CN111510293A (en) * | 2020-04-27 | 2020-08-07 | 网络通信与安全紫金山实验室 | Active channel key generation method and system based on matrix eigenvalue |
| CN111555869A (en) * | 2020-04-27 | 2020-08-18 | 东南大学 | Active channel key generation method and system of MIMO-OFDM system |
| CN111586687A (en) * | 2020-04-27 | 2020-08-25 | 网络通信与安全紫金山实验室 | Active channel key generation method and system for preventing near-end eavesdropping |
| CN111614387A (en) * | 2020-05-12 | 2020-09-01 | 西安交通大学 | Safe transmission method in large-scale antenna system |
| WO2021052697A1 (en) * | 2019-09-18 | 2021-03-25 | Nokia Technologies Oy | Improved physical layer security in wireless networks |
| CN112906035A (en) * | 2021-03-24 | 2021-06-04 | 东南大学 | Deep learning-based frequency division duplex system key generation method |
| CN114867013A (en) * | 2022-04-21 | 2022-08-05 | 中国电信股份有限公司 | Key generation method and device, electronic equipment and storage medium |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103402200A (en) * | 2013-07-11 | 2013-11-20 | 北京邮电大学 | Secret key generation method based on wireless channel characteristics in frequency division duplex system |
| CN106211149A (en) * | 2016-07-08 | 2016-12-07 | 东南大学 | Channel reciprocity enhancement method based on principal component analysis |
| US20170126403A1 (en) * | 2015-10-30 | 2017-05-04 | Industrial Technology Research Institute | Vector quantization based secret key generation device and method |
| CN107124716A (en) * | 2017-06-05 | 2017-09-01 | 东南大学 | Wireless channel dynamic key production method based on fixed position |
-
2019
- 2019-01-24 CN CN201910067771.5A patent/CN109618336A/en active Pending
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103402200A (en) * | 2013-07-11 | 2013-11-20 | 北京邮电大学 | Secret key generation method based on wireless channel characteristics in frequency division duplex system |
| US20170126403A1 (en) * | 2015-10-30 | 2017-05-04 | Industrial Technology Research Institute | Vector quantization based secret key generation device and method |
| CN106211149A (en) * | 2016-07-08 | 2016-12-07 | 东南大学 | Channel reciprocity enhancement method based on principal component analysis |
| CN107124716A (en) * | 2017-06-05 | 2017-09-01 | 东南大学 | Wireless channel dynamic key production method based on fixed position |
Non-Patent Citations (2)
| Title |
|---|
| HONGXIANG XIE 等: "Channel Estimation for TDD/FDD Massive MIMO Systems With Channel Covariance Computing", 《IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS》 * |
| 胡爱群 等: "无线通信物理层安全方法综述", 《数据采集与处理》 * |
Cited By (15)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110166232A (en) * | 2019-05-07 | 2019-08-23 | 东南大学 | Wireless channel key randomness Enhancement Method based on amplitude remainder |
| CN110166232B (en) * | 2019-05-07 | 2021-10-19 | 东南大学 | Wireless channel key randomness enhancing method based on amplitude complementation |
| WO2021052697A1 (en) * | 2019-09-18 | 2021-03-25 | Nokia Technologies Oy | Improved physical layer security in wireless networks |
| CN111464299A (en) * | 2020-04-01 | 2020-07-28 | 电子科技大学 | Physical layer key generation method for constructing reciprocal channel parameters based on frequency division duplex mode |
| CN111555869A (en) * | 2020-04-27 | 2020-08-18 | 东南大学 | Active channel key generation method and system of MIMO-OFDM system |
| CN111586687A (en) * | 2020-04-27 | 2020-08-25 | 网络通信与安全紫金山实验室 | Active channel key generation method and system for preventing near-end eavesdropping |
| CN111510293A (en) * | 2020-04-27 | 2020-08-07 | 网络通信与安全紫金山实验室 | Active channel key generation method and system based on matrix eigenvalue |
| CN111586687B (en) * | 2020-04-27 | 2022-10-11 | 网络通信与安全紫金山实验室 | Active channel key generation method and system for preventing near-end eavesdropping |
| CN111510293B (en) * | 2020-04-27 | 2022-11-18 | 网络通信与安全紫金山实验室 | Active channel key generation method and system based on matrix eigenvalue |
| CN111614387A (en) * | 2020-05-12 | 2020-09-01 | 西安交通大学 | Safe transmission method in large-scale antenna system |
| CN111614387B (en) * | 2020-05-12 | 2021-06-22 | 西安交通大学 | Safe transmission method in large-scale antenna system |
| WO2021227482A1 (en) * | 2020-05-12 | 2021-11-18 | 西安交通大学 | Secure transmission method in large-scale antenna system |
| CN112906035A (en) * | 2021-03-24 | 2021-06-04 | 东南大学 | Deep learning-based frequency division duplex system key generation method |
| CN114867013A (en) * | 2022-04-21 | 2022-08-05 | 中国电信股份有限公司 | Key generation method and device, electronic equipment and storage medium |
| CN114867013B (en) * | 2022-04-21 | 2024-03-29 | 中国电信股份有限公司 | Key generation method, device, electronic equipment and storage medium |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN109618336A (en) | A kind of key extraction method in frequency division duplex system | |
| CN112052086B (en) | Multi-user safety energy-saving resource allocation method in mobile edge computing network | |
| CN111512567B (en) | Apparatus and method for wireless communication with rotating beam management | |
| Park et al. | Outage probability and outage-based robust beamforming for MIMO interference channels with imperfect channel state information | |
| CN109194378B (en) | Physical layer safety wave beam shaping method based on linear neural network | |
| CN104836604B (en) | A kind of sparse beamforming algorithm of angle domain for channel coefficients of being made an uproar based on 3D mimo system bands | |
| Hanif et al. | On linear precoding strategies for secrecy rate maximization in multiuser multiantenna wireless networks | |
| CN109728865B (en) | Interception coding method based on artificial noise in large-scale antenna array | |
| CN109150855B (en) | Robust wireless communication safety transmission method for optimizing power resources | |
| CN107888270A (en) | Recognize the safe transmission method of physical layer in satellite ground UNE | |
| CN109150257B (en) | Large-scale MIMO beam domain secure multicast wireless transmission method | |
| WO2016150145A1 (en) | Signal sending method and device | |
| CN113037340B (en) | Safe precoding method of multi-beam low-orbit satellite communication system | |
| CN113395096B (en) | Physical layer secure transmission method based on deep learning in FDD system | |
| Tian et al. | Hybrid precoder and combiner design for secure transmission in mmWave MIMO systems | |
| CN108880734A (en) | The CCFD-Massive mimo system power distribution method of quantum backtracking chess game optimization | |
| CN111049552B (en) | Multi-hop data secure transmission method, device and equipment based on power line communication | |
| Ji et al. | Wireless secret key generation for distributed antenna systems: A joint space-time-frequency perspective | |
| CN114286336B (en) | Multi-cell network safe transmission method based on artificial noise | |
| Hoydis et al. | Outage performance of cooperative small-cell systems under Rician fading channels | |
| Vega-Sánchez et al. | Physical layer security of RIS-assisted communications under electromagnetic interference | |
| Li et al. | Synergizing beyond diagonal reconfigurable intelligent surface and rate-splitting multiple access | |
| Gharagezlou et al. | Secrecy sum rate analysis and power allocation with OSTBC and artificial noise for MIMO systems | |
| Nguyen et al. | Low-complexity precoding for sum rate maximization in downlink massive MIMO systems | |
| CN110071748B (en) | Artificial noise power distribution method of multiple-sending-single-receiving system |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| RJ01 | Rejection of invention patent application after publication |
Application publication date: 20190412 |
|
| RJ01 | Rejection of invention patent application after publication |