CN108270465A - A kind of spectrum spreading method of anti-deceptive interference - Google Patents
A kind of spectrum spreading method of anti-deceptive interference Download PDFInfo
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Abstract
The invention discloses a kind of spectrum spreading methods of anti-deceptive interference, mainly solve the problem of that information bit error rate is high under the weak low signal-to-noise ratio of prior art ability against the attack of cheating.Its implementation is：1. initial setting up spreads series N and spreading code set P；2. transmitting terminal spreads information source information, and will launch in the 0th grade of spreading code location information radom insertion in spreading code set P to the 0th grade of spread-spectrum signal；3. transmitting terminal spreads index position code of the upper level spreading code in spread-spectrum signal, and location information of the spreading code used in this grade in spreading code set P is inserted at random in this grade of spread-spectrum signal and is launched；4. receiving terminal de-spreads the spread-spectrum signal iteration of acquisition, the information source information of transmitting terminal is obtained.The present invention can obtain better bit error rate performance, and search space bigger during attacker's despreading under Low SNR, the ability for resisting spoofing attack be improved, available for the against the attack of cheating of navigation system.
Description
Technical Field
The invention belongs to the technical field of information processing, and further relates to a deception jamming resistant spread spectrum method which can be used in a satellite navigation system.
Background
With the wide application of satellite navigation systems, the security problem of navigation information is receiving more and more attention. The C/A code based on the gold sequence is used as a navigation signal spreading code in a satellite navigation system and is disclosed to the outside, and due to the openness of the C/A code, a spreading sequence used by a satellite transmission signal is easily acquired for a malicious attacker, and a fake signal is forged by the spreading sequence and is transmitted to a receiver, so that the receiver acquires wrong navigation information, and serious consequences are caused.
The patent "GPS navigation system spread spectrum sequence construction method" applied by redaster electronics limited, suzhou (application No. 200810227284.2, application publication No. CN 101408613 a) discloses a GPS navigation system spread spectrum sequence construction method. The method comprises the following steps:
1) defining N spreading sequences [ C ]0，C1，...，CN]In which C isn＝[Cn,0，Cn,1，...，Cn,N-1]Is N;
2) ensuring that the spreading sequence has a zero interference window;
3) n-1 is constructed for x (N) of any Zadoff-Chu sequence of length N, where N is 0, 1.Wherein q and N are prime numbers with respect to each other.
The method has the following disadvantages: the construction method of the spread spectrum sequence can only effectively resist multipath and has no resistance to the spoofing attack existing in the GPS navigation system.
The published paper "Randomized position DSSS for Anti-Jamming Wireless Communications" (RPDSSS,2016International Conference computing, Networking and Communications, Communications and information security) by Ahmad Alagil proposes a scheme for Anti-interference of Wireless channels using randomly positioned direct sequence spread spectrum techniques. The method uses the correlation of two spread spectrum sequences to carry out spread spectrum coding, uses two sequences with high correlation when the information bit is 1, uses two sequences with low correlation when the information bit is 0, each spread spectrum sequence is marked by an index, only transmits the index of the second sequence in the signal transmission process, the position of the index in the sequence is random, and continuously codes the position information until the length of the sequence is 1, the information is sent out, and the receiving party carries out reverse order decoding in the same way. The problems of the method are that: because the sequence correlation is sensitive to noise, the method is difficult to reliably work under the condition of low signal-to-noise ratio, the number of spread spectrum sequences used in each group of information spread spectrum is relatively small, the probability of being easily identified by a cheater is high, and the performance of resisting cheating attack is poor.
Disclosure of Invention
The invention aims to provide a spread spectrum method for resisting deception jamming aiming at the defects of the prior art, so as to reduce the error rate of communication under low signal-to-noise ratio, reduce the probability of being identified and broken by a deceased person and improve the performance of resisting deception attack.
The technical idea of the invention is as follows: the transmitting terminal adopts a multi-stage spread spectrum method, randomly selects a spread spectrum factor and a spread spectrum code to spread the information source information, randomly inserts the information of the selected spread spectrum sequence into the spread spectrum signal, and then carries out spread spectrum for multiple times and transmits the inserted position information. The implementation scheme comprises the following steps:
1. a method of spread spectrum anti-spoofing interference comprising:
(1) initial setting:
(1a) information source information S to be transmitted to transmitting terminal0The length value T of (a) is subjected to N successive logarithmic operations until the result is 1, that is:whereinIf the rounding is shown upwards, the logarithm taking times N are set as the spread spectrum series;
(1b) let the spreading factor be 2m-1Set of spreading codes PmComprises the following steps:whereinIs a spreading factor of 2m-1Set of spreading codes PmThe k-th spreading code of (1), k ∈ [1,2 ]m-1]M is a positive integer and M is an element [1, M ]]M is a positive integer greater than or equal to N;
(1c) arranging the spread spectrum code sets of different spread spectrum factors in ascending order according to the spread spectrum factors, wherein the obtained spread spectrum code set P is as follows:wherein,indicating a spreading factor of 2m-1Set of spreading codes PmMiddle 2m-1A spreading code;
(2) random spread spectrum of a transmitting end:
(2a) source information spreading:
(2a1) the transmitting end determines the spreading factor used for the 0 th level spreading to beWherein m is more than or equal to 10Less than or equal to M-N + 1; then randomly selecting a spreading factor from the spreading code set P asAs the 0 th-level spreading code c0Using the spreading code c0For the information source S to be transmitted0Spread spectrum to obtain the 0 th level spread spectrum signal SS0；
(2a2) Looking up the level 0 spreading code c selected in step (2a1)0Taking the position in the spreading code set P as a position index;
(2a3) randomly generating a position parameter t0Which is 0. ltoreq. t0Integer less than or equal to T, T is information S of source0And converting the position index of step (2a2) into a binary code, which is inserted into the 0 th-order spread spectrum signal SS0To (1)Transmitting after a chip;
(2b) position information multistage spread spectrum:
(2b1) recording a multistage spread spectrum iteration variable as i, and setting an initial value of the iterative variable as i to 1;
(2b2) the position parameter ti-1Expressed in binary as index position code SiRandomly selecting a spreading factor ofAs an ith-level spreading code ciFor index position code SiSpread spectrum to obtain the i-th level spread spectrum signal SSiWherein m isiIs a natural number and satisfies the following conditions: m isi-1＜mi≤M-N+1+i；
Judging a multistage spread spectrum iteration variable: if the variable i of the multistage spread spectrum iteration is less than N-1, executing the step (2b 3); otherwise, the transmitting end completes random spread spectrum and transmits the ith level spread spectrum signal SSiEmitting out;
(2b3) randomly generating a position parameter tiWhich is an integer and satisfies 0. ltoreq. ti≤TiWherein T isiIs an index position code SiThe ith-level spreading code c selected in step (2b2)iThe position index in the spreading code set P is converted into a binary number and inserted into the i-th order spread spectrum signal SSiTo (1)Transmitting the chips, and executing the step (2b 4);
(2b4) increasing the multistage spread spectrum iteration variable i by 1, and returning to the step (2b 2);
(3) iterative despreading at a receiving end:
(3a) the receiving end receives N spread spectrum signalsStoring the data;
(3b) the receiving end spreads the spectrum according to the N-1 levelNumber SSN-1The value of the spreading factor Sf used for the despreading of this stage is determined: sf is L;
(3c) sequentially selecting a spreading code from a spreading code set with a spreading factor L to perform N-1 level spreading signal SSN-1Despreading is performed until the signal S is despreadN-1Is 1 or 0, and then the value is assigned to the N-1 th level binary position index code BPosN-1；
(3d) Recording an iteration despreading variable as j, and setting an initial value of the iteration despreading variable as j-N-1;
(3e) indexing the j-th binary position BPosjConverted into decimal number which is the j-1 stage spread spectrum signal SS at the transmitting endj-1Spreading code c usedj-1Position index pos in spreading code set Pj；
(3f) Indexing pos according to positionjFinding out corresponding spreading sequence in spreading code set P, and receiving j-1 stage spread spectrum signal SSj-1Despreading, and judging an iteration despreading variable j: if j is 1, the source information S originally transmitted by the transmitting terminal is obtained0Finishing iterative de-spreading of a receiving end; otherwise, the j-1 level spread spectrum code c is obtainedj-1Binary position index code BPosj-1Executing the step (3 g);
(3g) and (4) reducing the iterative despreading variable j by 1 and returning to the step (3 e).
Compared with the prior art, the invention has the following advantages:
first, the spreading factor and the spreading code used in the spreading of the transmitting end are both random, and the related information of the spreading code is protected by multi-level spreading, so that an attacker can only search the spreading code set exhaustively before receiving the spreading signals of all levels, which consumes a large amount of time resources and is difficult to complete before a legal receiver successfully despreads the signals, and thus the probability of the system being attacked by fraud is reduced.
Secondly, the invention carries out multi-stage spread spectrum transmission on the related information of the spread spectrum code used by the transmitting terminal, and has better anti-noise performance due to the benefit of a direct spreading system.
Thirdly, in the process of multistage spread spectrum, the spread spectrum factor adopted by each stage of the transmitting terminal has randomness, and compared with the prior art that the determined spread spectrum factor is adopted in each stage of spread spectrum, the spread spectrum signal generated by the invention has stronger uncertainty, so that the search space of an attacker in despreading is larger, and the capability of resisting cheating attack is stronger.
Drawings
FIG. 1 is a flow chart of an implementation of the present invention;
FIG. 2 is a graph of the bit error rate for different SNR for the present invention and the prior art;
fig. 3 is a graph of the probability of spoofing attacks on information in accordance with the present invention.
Detailed Description
The present invention is described in further detail below with reference to the attached drawing figures.
Referring to fig. 1, the specific implementation steps of the present invention are as follows.
Step 1, initially setting a spreading series N and a spreading code set P.
(1a) Information source information S to be transmitted by a transmitting terminal0The length value of T is T, and N times of successive logarithm operations are carried out on T until the result is 1, namely:
whereinRepresenting upward rounding, and setting the logarithm taking times N as a spread spectrum series;
(1b) let the spreading factor be 2m-1Set of spreading codes PmComprises the following steps:
whereinIs a spreading factor of 2m-1Set of spreading codes PmThe k-th spreading code of (1), k ∈ [1,2 ]m-1]M is a positive integer and M is an element [1, M ]]M is a positive integer greater than or equal to N;
(1c) arranging the spreading code sets of different spreading factors in ascending order according to the spreading factors to obtain a spreading code set P:
wherein,indicating a spreading factor of 2m-1Set of spreading codes PmMiddle 2m-1A spreading code.
And 2, randomly spreading the frequency by the transmitting end.
(2a) Transmitting end pair information source information S0Spread and spread the 0 th level spreading code c0Position information in spreading code set P is randomly inserted into level 0 spread spectrum signal SS0And (3) emitting:
(2a1) the transmitting end firstly determines the spreading factor used by the 0 th level spreading asWherein m is more than or equal to 10Less than or equal to M-N + 1; then randomly selecting a spreading factor from the spreading code set P asAs the 0 th-level spreading code c0Using the spreading code c0For the information source S to be transmitted0Spread spectrum to obtain the 0 th level spread spectrum signal SS0：
SS0＝S0·c0；
(2a2) Looking up the level 0 spreading code c selected in step (2a1)0Taking the position in the spreading code set P as a position index;
(2a3) randomly generating a position parameter t0Which is 0. ltoreq. t0T is an integer less than or equal to T and is subject to uniform distribution, and T is information source information S0A length value of (d);
(2a4) converting the position index of step (2a2) into a binary code and inserting the binary code into the 0 th-level spread spectrum signal SS0To (1)Transmitting the chip after the chip;
(2b) the transmitting end carries out spread spectrum on the index position code of the previous-stage spread spectrum code in the spread spectrum signal, and randomly inserts the position information of the spread spectrum code used by the current stage in the spread spectrum code set P into the spread spectrum signal of the current stage to be transmitted:
(2b1) recording a multistage spread spectrum iteration variable as i, and setting an initial value of the iterative variable as i to 1;
(2b2) the position parameter ti-1Expressed in binary as index position code SiRandomly selecting a spreading factor ofAs an ith-level spreading code ciFor index position code SiSpread spectrum to obtain the i-th level spread spectrum signal SSiWherein m isiIs a natural number and satisfies the following conditions: m isi-1＜mi≤M-N+1+i：
SSi＝Si·ci，
Judging a multistage spread spectrum iteration variable: if the variable i of the multistage spread spectrum iteration is less than N-1, executing the step (2b 3); otherwise, the transmitting end completes random spread spectrum and transmits the ith level spread spectrum signal SSiEmitting out;
(2b3) randomly generating a position parameter tiThe i-th level spreading code c selected in step (2b2)iThe position index in the spreading code set P is converted into a binary number and inserted into the i-th order spread spectrum signal SSiTo (1)Transmitting after a chip, executing step (2b4), wherein t is more than or equal to 0i≤TiAnd is an integer; t isiIs an index position code SiA length value of (d);
(2b4) and increasing the variable i of the multistage spreading iteration by 1 and returning to the step (2b 2).
Step 3, the receiving end carries out iterative de-spreading on the obtained spread spectrum signal to obtain information source information S of the transmitting end0。
(3a) The receiving end receives N spread spectrum signalsStoring the data;
(3b) the receiving end is according to the N-1 level spread spectrum signal SSN-1The length value L of the stage, and the value of the spreading factor Sf used by the despreading of the stage is determined to be Sf-L;
(3c) sequentially selecting a spreading code from a spreading code set with a spreading factor L to perform N-1 level spreading signal SSN-1To carry outDespreading the N-1 stage spread spectrum signal SSN-1And a spreading code c with a spreading factor LN-1Multiply and accumulate, and finally divide by the spreading factor to obtain the despread signal SN-1Until the signal S is despreadN-1Is 1 or 0, and then the value is assigned to the N-1 th level binary position index code BPosN-1；
(3d) Recording an iteration despreading variable as j, and setting an initial value of the iteration despreading variable as j-N-1;
(3e) indexing the j-th binary position BPosjConverting into decimal number to obtain j-1 stage spread spectrum signal SS at transmitting endj-1Spreading code c usedj-1Position index pos in spreading code set Pj；
(3f) Indexing pos according to positionjFinding out corresponding spreading sequence in spreading code set P, and receiving j-1 stage spread spectrum signal SSj-1Despreading, and judging an iteration despreading variable j: if j is 1, the source signal S originally transmitted by the transmitting terminal is obtained0Finishing iterative de-spreading of a receiving end; otherwise, the j-1 level spread spectrum code c is obtainedj-1Binary position index code BPosj-1Executing the step (3 g);
(3g) and (4) reducing the iterative despreading variable j by 1 and returning to the step (3 e).
The effects of the present invention can be further illustrated by the following simulations.
1. Simulation conditions
The simulation experiment is carried out on a computer with an Intel Pentium E58003.2GHz CPU and a memory of 2 GB. In the simulation, the length of the information is 128 bits.
2. Emulated content
Simulation 1. comparing the bit error rate of the method of the invention with the bit error rate of the existing RPDSSS method under different signal to noise ratios.
The method of the invention and the prior RPDSSS method are respectively used for carrying out spread spectrum transmission on the information source information at the transmitting end, the receiving end carries out de-spread spectrum transmission to obtain the information source information and carries out bit error rate analysis on the information source information obtained at the receiving end, the result is shown in figure 2, the abscissa in figure 2 represents the signal to noise ratio, the unit is dB, the ordinate represents the bit error rate, as can be seen from figure 2, the bit error rates of the two methods are reduced along with the increase of the signal to noise ratio, but under the condition of lower signal to noise ratio, the bit error rate of the RPDSSS method is larger, but the bit error rate of the method of the invention is smaller.
And 2, simulation 2, comparing the probability of the receiving end being deceived and attacked in the conventional RPDSSS method.
The method of the invention and the existing RPDSSS method are used for carrying out spread spectrum transmission on the information source information, an attacker can correctly despread the spread spectrum signal and tamper the information source information before the information spread spectrum transmission is finished, and the probability of carrying out deception attack on the receiving end is compared with a histogram, as shown in figure 3, the abscissa in figure 3 represents the method of the invention and the RPDSSS method, and the ordinate represents the probability of deception attack on the receiving end. As can be seen from fig. 3, under the condition that the information source length and the signal-to-noise ratio are the same, compared with the RPDSSS method, the method of the present invention can reduce the probability that the receiving end is spoofed and attacked.
Claims (4)
1. A method of spread spectrum anti-spoofing interference comprising:
(1) initial setting:
(1a) information source information S to be transmitted to transmitting terminal0The length value T of (a) is subjected to N successive logarithmic operations until the result is 1, that is:whereinIf the rounding is shown upwards, the logarithm taking times N are set as the spread spectrum series;
(1b) let the spreading factor be 2m-1Set of spreading codes PmComprises the following steps:whereinIs a spreading factor of 2m-1Set of spreading codes PmThe k-th spreading code of (1), k ∈ [1,2 ]m-1]M is a positive integer and M is an element [1, M ]]M is a positive integer greater than or equal to N;
(1c) arranging the spread spectrum code sets of different spread spectrum factors in ascending order according to the spread spectrum factors, wherein the obtained spread spectrum code set P is as follows:wherein,indicating a spreading factor of 2m-1Set of spreading codes PmMiddle 2m-1A spreading code;
(2) random spread spectrum of a transmitting end:
(2a) source information spreading:
(2a1) the transmitting end determines the spreading factor used for the 0 th level spreading to beWherein m is more than or equal to 10Less than or equal to M-N + 1; then randomly selecting a spreading factor from the spreading code set P asAs the 0 th-level spreading code c0Using the spreading code c0For the information source S to be transmitted0Spread spectrum to obtain the 0 th level spread spectrum signal SS0；
(2a2) Looking up the level 0 spreading code c selected in step (2a1)0In a spreading codePositions in the set P are used as position indexes;
(2a3) randomly generating a position parameter t0Which is 0. ltoreq. t0Integer less than or equal to T, T is information S of source0And converting the position index of step (2a2) into a binary code, which is inserted into the 0 th-order spread spectrum signal SS0To (1)Transmitting after a chip;
(2b) position information multistage spread spectrum:
(2b1) recording a multistage spread spectrum iteration variable as i, and setting an initial value of the iterative variable as i to 1;
(2b2) the position parameter ti-1Expressed in binary as index position code SiRandomly selecting a spreading factor ofAs an ith-level spreading code ciFor index position code SiSpread spectrum to obtain the i-th level spread spectrum signal SSiWherein m isiIs a natural number and satisfies the following conditions: m isi-1＜mi≤M-N+1+i；
Judging a multistage spread spectrum iteration variable: if the variable i of the multistage spread spectrum iteration is less than N-1, executing the step (2b 3); otherwise, the transmitting end completes random spread spectrum and transmits the ith level spread spectrum signal SSiEmitting out;
(2b3) randomly generating a position parameter tiWhich is an integer and satisfies 0. ltoreq. ti≤TiWherein T isiIs an index position code SiThe ith-level spreading code c selected in step (2b2)iThe position index in the spreading code set P is converted into a binary number and inserted into the i-th order spread spectrum signal SSiTo (1)Transmitting the chips, and executing the step (2b 4);
(2b4) increasing the multistage spread spectrum iteration variable i by 1, and returning to the step (2b 2);
(3) iterative despreading at a receiving end:
(3a) the receiving end receives N spread spectrum signalsStoring the data;
(3b) the receiving end is according to the N-1 level spread spectrum signal SSN-1The value of the spreading factor Sf used for the despreading of this stage is determined: sf is L;
(3c) sequentially selecting a spreading code from a spreading code set with a spreading factor L to perform N-1 level spreading signal SSN-1Despreading is performed until the signal S is despreadN-1Is 1 or 0, and then the value is assigned to the N-1 th level binary position index code BPosN-1；
(3d) Recording an iteration despreading variable as j, and setting an initial value of the iteration despreading variable as j-N-1;
(3e) indexing the j-th binary position BPosjConverted into decimal number which is the j-1 stage spread spectrum signal SS at the transmitting endj-1Spreading code c usedj-1Position index pos in spreading code set Pj；
(3f) Indexing pos according to positionjFinding out corresponding spreading sequence in spreading code set P, and receiving j-1 stage spread spectrum signal SSj-1Despreading, and judging an iteration despreading variable j: if j is 1, the source information S originally transmitted by the transmitting terminal is obtained0Finishing iterative de-spreading of a receiving end; otherwise, the j-1 level spread spectrum code c is obtainedj-1Binary position index code BPosj-1Executing the step (3 g);
(3g) and (4) reducing the iterative despreading variable j by 1 and returning to the step (3 e).
2. The method of claim 1, wherein the spreading code c is used in step (2a1)0For the information source S to be transmitted0Spread spectrum, i.e. information S of source0And spreading code c0Multiplying to obtain a 0 th-level spread spectrum signal: SS0＝S0·c0。
3. The method of claim 1, wherein the index position code S in step (2b2) is codediSpread spectrum, i.e. information S of sourceiAnd spreading code ciMultiplying to obtain the i-th level spread spectrum signal SSi,：SSi＝Si·ci。
4. The method of claim 1, wherein step (3c) uses a selected spreading code to spread the signal SS for the N-1 st stageN-1Despreading is performed on the N-1 st level spread spectrum signal SSN-1And a spreading code c with a spreading factor LN-1Multiplying and accumulating the signals, and finally dividing the signals by the spreading factor to obtain despread signals.
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