CN102255697B - Distributed physical layer network coding modulation method for multiple access channel in wireless network - Google Patents
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Abstract
The invention discloses a distributed physical layer network coding modulation method for a multiple access channel in a wireless network. The method is implemented in a distributed physical layer network coding modulation way by utilizing a punctured convolutional coding digital phase modulation technology. In the method, a theoretical limit for a distributed system is deduced at the same time. A simulation result shows that the theoretical limit is in accordance with a simulation result value; and when a signal to noise ratio is increased, the simulation result is asymptotic to a theoretical limit value, thereby verifying the accuracy of a deduced theoretical value.
Description
Technical field
The present invention relates to cellular mobile network technology, be specifically related to be applicable to coding and the modulator approach of the distributed physical layer network of multiple access channel in wireless network.
Background technology
Distributed coding, as a kind of special chnnel coding cooperative communication network development mode, has attracted a large amount of researchers' concern.The structure theory of distributed coding has been applied to traditional channel coding, as document [B. Zhao and M. C. Valenti, " Distributed turbo codes:towards the capacity of the relay channel, " IEEE VTC ' 03-Fall, vol. 1, pp. 322 – 326, Oct. 2003.] disclosed Distributed T urbo code, document [S. Yiu, R. Schober and L. Lampe, " Distributed space-time block coding, " IEEE Trans. Commun., vol.54, no.7, pp. 1195 – 2006, Jul. 2006.] disclosed distributed space-time code, document [A. Chakrabarti, A. Baynast, A. Sabharwal and B. Aazhang, " Low density parity check codes for the relay channel, " IEEE JSAC, vol. 25, no. 2, pp. 280 – 291, Feb. 2007.] disclosed distributed low-density checksum (LDPC) code.Experimental result shows, above-mentioned distributed coding scheme can improve a little to the reliability of the radio channel transmission of point.
Above-mentioned distributed coding scheme is for small-scale clean culture junction network, and information is by list/multi-hop wireless junction network, from single source node, to single destination node, transmits.For example, under the scene shown in Fig. 1, a source mobile terminal (MT) is cooperated with other mobile terminals (MT), and by a via node (RN), to base station, (BS) transmits data.The traditional approach that transmits this information is by route, and the packet that receives is simply stored and forwarded to via node to destination.
Document [R. Ahlswede, N. Cai, S. Y. R. Li, and R.W. Yeung, " Network Information Flow, " IEEE Trans. Inform. Theory, vol. 46, no. 4, pp. 1204 – 1216, July 2000.] propose a kind of network code (NC) method and substituted routing algorithm.In network code, via node can be encoded the packet of receiving from a plurality of sources mobile terminal.Information after coding is sent to destination subsequently.Experimental result shows, compares with traditional routing algorithm, and network code can improve network capacity and throughput.Because research and design (DNCC) theory of this distributed network passage code just starts recently, many problems that run in the design and implementation process of distributed coding are not all also resolved.
Summary of the invention
The object of the present invention is to provide the distributed physical-layer network coding modulator approach of multiple access channel in a kind of brand-new wireless network.The method, based on puncture convolution code, adopts collaboration type uplink distributed coding code.The present invention has also analyzed the performance of system on this basis, derives the error rate theory analysis upper limit of the present invention.
Technical scheme of the present invention is as follows:
In wireless network, a distributed physical-layer network coding modulator approach for multiple access channel, comprises the steps:
1) source mobile terminal is encoded to transmitted codewords by punctured convolutional code device by packets of information, is then broadcast to via node and cooperation mobile terminal;
2) via node is the signal waveform from source mobile terminal that receives with from the signal waveform of cooperation mobile terminal, and separated according to mark space, then alternately series connection generates new signal waveform;
3) the new signal waveform forming is by separating mediation decoding at the decoder of via node, output needle is the estimation code word with the combined coding device of cooperation mobile terminal to source mobile terminal;
4) the recursive system convolution coder that described estimation code word is admitted to via node carries out network code and carries out memoryless modulation, is then sent to base station;
5) base station receives and from the signal waveform of via node transmitting, first does soft demodulation and then decode.
Described step 2), in, if via node can be correct the data decode of source mobile terminal, the mobile terminal that need not cooperate carries out cooperation transmission; If via node can not be correct the data decode of source mobile terminal, via node will send the instruction that requires transmission identical data to cooperation mobile terminal, cooperation mobile terminal is received after instruction after the data decode from source mobile terminal, utilize different punctured convolutional code devices to encode, then send to via node.
In described step 3), the decoder of via node is the decoder for the combined coding device of source mobile terminal and cooperation mobile terminal.
In described step 5), soft demodulation is to allow the signal waveform receiving through one group of waveform matched filter, the decoder that the value of exporting from this group filter is sent to base station carries out decoding, and the decoder of described base station is for the decoder that is distributed in the super grid coder of source mobile terminal and the cooperation punctured convolutional code device of terminal and the recursive system convolution coder of via node composition.
Useful technique effect of the present invention is:
The present invention is directed to the ul transmissions scheme that wireless network proposes a kind of collaboration type, the present invention adopts distributed physical-layer network coding modulation system, utilizes punctured convolutional code digital phase modulation technology to realize.The present invention has derived a theoretical limit for this distributed system simultaneously.Simulation result shows that this theoretical derivation limit meets simulation result value, when signal to noise ratio increases, and simulation result asymptotic theory limiting value, thereby the accuracy of the theoretical value that checking is derived.
Accompanying drawing explanation
Fig. 1 is with a source mobile terminal, a cooperation mobile terminal, the uplink system block diagram of a via node and a base station.
Fig. 2 is the simulation result of bit error rate of the present invention and the comparison diagram of the theory analysis upper limit.
Embodiment
Below by embodiment, invention is described further.
What the present invention considered is the ul transmissions system in radio honeycomb mobile network.Referring to Fig. 1, Fig. 1 shows with a source mobile terminal MT(A), a cooperation mobile terminal MT(B), a via node RN(R) and the uplink system block diagram of a base station BS (C).In this system, there is a source mobile terminal MT to send packet to base station BS by via node RN.Herein, the present invention is only usingd cellular mobile network as embodiment, and in fact the present invention can be applied in all wireless networks, such as wireless sense network, ad hoc(are point-to-point), WLAN (wireless local area network) etc., should not regard restriction as.
The cooperation transmission stage
Source mobile terminal can cooperate to carry out with other mobile terminals transfer of data.According to document [K.Doppler and M.Xiao, " Innovative concepts in peer-to-peer and network coding; " Tech. Rep. D1.3, CELTIC Telecommunication Solutions, 2009.], suppose to have direct link between source mobile terminal MT and cooperation mobile terminal MT, but there is no direct link between base station BS and mobile terminal.The transmission of a packet can be divided into two time slots.At first time slot, source mobile terminal MT first utilizes punctured convolutional code device to encode to information, then to via node RN and the packet cooperating after mobile terminal MT broadcast code.Via node RN and cooperation mobile terminal MT start decoding.When cooperation mobile terminal MT is correctly after the decoding of the information from source mobile terminal MT, recycle different punctured convolutional code devices this information of having decoded is encoded again.In the time of needs, the code word from cooperation mobile terminal, will send to via node RN at the second time slot.As shown in Figure 1, mobile terminal MT in source is used punctured convolutional code device C
1, and cooperation mobile terminal MT is used punctured convolutional code device C
2.
If via node RN can be correct the data decode of source mobile terminal MT, via node RN, just the modulation of the data message recompile from source mobile terminal MT after decoding, is then transmitted to base station BS so.In this case, the source mobile terminal MT cooperation transmission of mobile terminal MT that need not cooperate.If via node RN can not be correct the data decode of source mobile terminal MT, via node RN will send the instruction that requires transmission identical data to cooperation mobile terminal MT so, after cooperation mobile terminal MT receives instruction, the data from source mobile terminal MT can be encoded and is then sent to via node RN with different encoders.
Suppose to there is identical code check k/n at each encoder of source mobile terminal and cooperation mobile terminal.For a system with a source mobile terminal and k-1 cooperation mobile terminal, the unicode rate of k combined coding device will be 1/n so.The convolution coder of supposing all mobile terminals has identical as document [J. G. Proakis, Digital Communication, McGraw-Hill, New York, third edition, 1995.] described constraint length (constraint length).According to document [A. J. Viterbi and L. K. Omura, Principles of Digital Communication and Coding, McGraw-Hill, New York, 1979.], the convolution coder that is 1/n for code check, generator polynomial matrix
time parameter
belong to set { 0,1}.High code check puncture convolution code (PCC) can obtain by the Binary Convolutional Code of other (parent) 1/n of its upper level of puncture.By using (n * p) puncture matrix, P
mat, wherein p is the puncture cycle, realizes the operation that punctures some coded identifications.Here establish s and be transmitted bit number altogether while the puncture cycle being p, PCC encoding rate is r=p/s.
The via node stage
Via node RN aloft mixes the signal waveform from source mobile terminal MT of receiving with from the signal waveform of cooperation mobile terminal MT, then combined decoding.This concrete air mix operating process is as follows: via node RN is separated according to mark space two signal waveforms, and then alternately series connection generates new waveform, and this new waveform is by separating mediation decoding at the decoder of via node RN.This method is different from traditional physical layer network situation the method for the signal waveform stack receiving.The decoder of via node RN for be the combined coding device C of source mobile terminal MT and cooperation mobile terminal MT
1and C
2.That this decoder is exported is the combined coding device C for source mobile terminal MT and cooperation mobile terminal MT
1and C
2estimation code word.A recursive system convolution (RSC) encoder that then this estimation code word is fed to via node RN carries out network code and carries out memoryless modulation.Here saidly by RSC, carry out network code and refer to two data streams that come from source mobile terminal MT and cooperation mobile terminal MT are mixed by RSC, form a new data flow, different with XOR (XOR) operation in legacy network coding, the present invention adopts RSC to carry out network code operation.Rsc encoder and memoryless modulator can be seen as a digital coding Continuous Phase Modulation (CPM) device.At via node RN, a vector is inputted and generated to rsc encoder using an output symbol from associating mobile terminal decoder as one, and memoryless modulator will produce the waveform of a transmission with this vector.
The base station stage
Code word after decoding is through recursive system convolution (RSC) encoder and carry out after memoryless modulation, is sent to base station BS (being also known as destination node).Base station BS receives first to be done soft demodulation (Soft demodulation) and then starts decoding from the signal waveform of relaying node RN transmitting, here said soft demodulation refers to and allows the signal waveform receiving through one group of waveform matched filter, from the value of this group filter output, be sent to decoder and carry out decoding, this decoder for be to be distributed in the super grid coder that source mobile terminal MT and the punctured convolutional code device of cooperation terminal MT and the rsc encoder of via node RN form.
Below will provide one in the situation that the channel condition of additive white Gaussian noise (AWGN) and employing maximum likelihood detect the systematic function theoretical upper limit of (MLSD) algorithm.
The theory analysis upper limit
At via node, be distributed in source mobile terminal and the cooperation punctured convolutional code device of mobile terminal and the RSC of via node and formed a super grid coder.When definition discrete time is j, the state of super grid coder
for
, here
with
when being illustrated respectively in discrete time and being j, the state of Joint Distribution convolution coder (JDCE) and the state of RSC.For a Joint Distribution convolution coder with m element, and one with the reasonable binary system total regression CPM system of irreducible modulation index h=K/P again, and the state of super trellis encoder adds up to
.The input of associating terminal encoder has determined state conversion
.The incoming symbol that also have rsc encoder relevant to this transfer process
and an average vector, this average vector is by the CPM waveform of transmission is obtained through a complex set of filter process, these filters match with transmitting.Foregoing can be referring to document [Z.Lin, Joint Source-Channel Coding using Trellis Coded CPM, Ph.D Thesis, Chalmers University of Technology, Gothenburg, Sweden, Jan. 2006, http://www.ce.chalmers.se/TCT.].
In the present invention, suppose that source node and cooperative node have identical transmitting power.If E
bfor information bit power, N
0/ 2 is the power spectral density of two-sided additive white Gaussian noise.The wrong probability of the memoryless information source sequence of a puncture trellis coding CPM system, will follow following theorem 1.
Theorem 1: detect under (MLSD) and the condition of source information piece without endless at maximum likelihood, the upper limit of the bit mistake code check of the digital phase modulation CPM system of a distributed punctured convolutional code that has a discrete memoryless equiprobability distributed digital loop source sequence provides the upper limit by following formula:
Here
minimum normalized square of Euclidean distance (NSED),
it is dummy variable, according to document [T. Aulin, " Symbol Error Probability Bounds for Coherently Viterbi Detected Continuous PhaseModulated Signals; " IEEE Trans. Commun., vol. COM-29, no. 11, pp. 1707 – 1715, Nov. 1981.], r is the encoding rate of PRCC trellis coding, r=p/s.Average transmission equation is:
Here
that while being j since the time, state is
, when NSED is d
2, length is
and have
the quantity of all error events of individual mismark.Q function is defined as follows:
Below provide the proof of theorem 1.
being designated as from discrete time is total bit mistake that j starts, all error events produce.With a state arbitrarily, state s for example,
, wherein S is state space.If
for mistake starts when the time is j, initial condition is s, and length is that a l normalizing square Euclidean distance is (NSED) d
2.
for by error event
the mismark bringing, initial condition and sequence pair
can express this error event completely
.Here
with
it is the data sequence of two reconstructions.
For a punctured convolutional code and Full response continuous phase modulation (CPM) system, with an error event
relevant NSED d
2may be calculated
Here T is-symbol _ time interval, and
, here
it is poor phase state.
the operator of mould x,
phase response, referring to document [J. B. Anderson, T. Aulin, and C. E. Sundberg, Digital Phase Modulation, Plenum Press, New York, 1986].
The desired value of the wrong bitrate being caused by error event when initial time j as shown in the formula:
Here
with
two random vectors, their result space be the reconstruction signal sequence that likely starts when the time is j and,
be when state is s, there is (NSED) d
2, length is the error event quantity of the total mismark of l while being τ, the desired value of formula (7) be since the time be all error events after j.
The encoding rate of supposing upper level (parent) convolution coder is k/ (k+1).Have like this 2
kindividual branch road enters and leaves each state.For the digital source sequence of a discrete memoryless equal probability, all take that state s starts, to have the sequence that length is l be that same probability is contingent, releases following formula:
Prove as follows: establish
be all in initial time, be j, state is that s, length are
sequence
set.Note
for set
base.When
time, in set
in only have two sequences
with
.
decision region be half of signal space,
provided accurately the error rate
, d here
2to transmit
with
between NSED.Therefore,
, when
,
determining area between be just less than half that determines space, draw thus
Based on the above results and formula (8), consider all error events and use associating upper limit technology, according to document [A. J. Viterbi and L. K. Omura, Principles of Digital Communication and Coding, McGraw-Hill, New York, 1979.], can set
on be limited to:
For further reducing the computational complexity of (9), it is noted that the CPM for a coding, some states are of equal value.Of equal value the meaning when two error events here
with
when the time is j, start, state is simultaneously
with
, respectively by identical sequence array
during generation, they are equal to.The grade is here both the mismark that error event has identical length, equal NSED and can produce equal number.If two states
with
be equal to,
.
According to above proof, the state of all punctured convolutional code CPM, when the time is j, has punctured convolutional code device equal state,
identical.
in individual coding total regression CPM state, only have 2
mindividual state is unequal mutually.Therefore, (9) can be designated as again:
For an independence, with minute other discrete memoryless source sequence, encoder can start at any s
munder lattice type state one of in individual.Because become when puncture is periodicity,
also depend on time j and cycle variation.The state of a CPM coding when the time is j
equal 2
mamong individual, the probability of one of different conditions is
(11)
Suppose that source sequence is endless, work as x, y>0 is used inequality, according to document [J. B. Anderson, T. Aulin, and C. E. Sundberg, Digital Phase Modulation, Plenum Press, New York, 1986.]
, make simultaneously
, the symbol error rate upper limit can be decided to be
Here p is the puncture cycle of mentioning at second portion, and j=0 refers to that puncture starts.
The left side of inequality (12) can be calculated by generating function.Will
be designated as at different conditions
under generating function
.
be shown below:
Arrive this, theorem 1 proof finishes.
By the state diagram of application product, according to document [E. Biglieri, " High-level modulation and coding for nonlinear satellite channels; " IEEE Trans. Commun., vol. COM-32, pp. 616 – 626, May 1984.] and document [J. Shi and R. D.Wesel, " Efficient computation of trellis code generating function, " IEEE Trans. Commun., vol. 52, no. 2, pp. 219 – 227, Feb. 2004.], can obtain transmission equation
.One is j in the time product state can be defined as
, here
the encoding state of CPM coded system,
it is decoded state.State conversion process
just be expressed as
with
represent respectively mismark quantity and NSED.
indicate NSED
the quantity in path,
it is the mismark in this state conversion.
For the CPM of puncture trellis coding, the error rate only depends on the output of punctured convolutional code device.In other words, it is independent of the state pair of CPM
.In addition, according to document [J. B. Anderson, T. Aulin, and C. E. Sundberg, Digital Phase Modulation, Plenum Press, New York, 1986.], NSED d
2the state difference that only depends on CPM
.Product state has just reduced like this.For the CPM system of total regression, the product state of minimizing is
, here
it is phase difference state.All product states of CPM system like this with the CPM coding of total regression are exactly
.
The product state of CPM coding can be divided into initial condition, transmission state and done state.The initial condition of a product state is defined as the beginning of error event, when done state is defined as the end of error event.The condition of initial condition and done state is respectively
with
other states are transition status.
With
represent from an initial condition
when the time is j, one step is to the state-transition process of transmission state, and Bj represents the transition process to done state by transmission state, Cj be illustrated in the time while being j transmission state one step arrive the process of transmission state.
expression is from an initial condition
one step arrives the transition process of done state.According to document [J. B. Anderson, T. Aulin, and C. E. Sundberg, Digital Phase Modulation, Plenum Press, New York, 1986.], transmission equation can calculate with following formula:
Here 1 is a vector that all elements is 1, and I represents unit matrix.
Equation (1) can be expressed as again:
(5)
From formula (5), can find out minimum NSED
with
(have
error event quantity) performance of the asymptotic symbol error rate of fixing system certainly,
it is larger,
less, the progressive symbol error rate performance of system is better.In the present invention, the design standard of best puncture matrix is according to whether producing maximum
realize.
Simulation result
The present invention under Gauss's additive white noise passage emulation the system of a plurality of employing different distributions formulas codings.At first systematic, the encoder of source mobile terminal is that 1 parent nonsystematic convolutional encoding obtains by puncture code check, and the generator polynomial of this parent convolutional encoding is
.The generator polynomial that the encoder of cooperation mobile terminal is is 1 by puncture rate is
parent nonsystematic convolutional encoding obtain.Therefore,, from via node, the combined coding device of source node and cooperation mobile terminal is to be by the generator polynomial of 1/2 rate of of puncturing
parent nonsystematic convolutional code generate.Table 1 has been listed the difference puncture matrix Pmat of different system, and puncture matrix Pmat is by all possible puncture pattern of exhaustive search, and select can provide maximum least square Euclidean distance d
2 minpuncture matrix.In table 1, puncture matrix provides with octadic form, for example (3,5)
0the puncture matrix form of representative is [011; 101] 0 be wherein, the position of the symbol that is punctured accordingly.The punctured convolutional code of using in emulation is that the generator polynomial by 1/2 rate that punctures is
with
parent nonsystematic convolutional code generate.In table 1, also listed file names with the d of different system
2 min, and observe symbolic number N
b, N
bthe CPM system that refers to coding reaches the required observation symbol quantity of minimum euclidean distance, and foregoing is referring to document [J. B. Anderson, T. Aulin, and C. E. Sundberg, Digital Phase Modulation, Plenum Press, New York, 1986.].
Table 1
In emulation, the value of corresponding each signal to noise ratio, adopts the block of information that 100 length are 8000 bits to carry out emulation.Fig. 2 has shown simulation result and the theoretical upper limit of the bit error rate (BER) of distributed network code modulation system of the present invention.Can see that simulation result meets the theoretical upper limit of derivation, when signal to noise ratio increases, simulation result approaches theoretical upper limit gradually.
Fig. 2 is simultaneously displayed on identical E
b/ N
0condition under, adopt the bit error rate performance of parent convolution code to be always better than the convolution code that punctures accordingly.For example,, at E
b/ N
0in the time of=8, the BER performance of parent convolution code (rate is 1/2) is better than corresponding puncture convolution code.Again for example, for producing multinomial, be
father's convolution code and the puncture convolution code of its corresponding 3/4 rate, at ordinate bit error rate, equal 10
-4time, relatively with the solid line (parent convolution code) of circle with the solid line (the puncture convolution code of 3/4 rate) of No. x, with the solid line (parent convolution code) of circle at BER=10
-4time SNR=8dB, and with the solid line (the puncture convolution code of 3/4 rate) of x symbol at BER=10
-4time SNR=12dB, the performance gain of parent convolution code is probably 4 decibels of left and right.
Above-described is only the preferred embodiment of the present invention, the invention is not restricted to above embodiment.Be appreciated that the oher improvements and changes that those skilled in the art directly derive or associate without departing from the basic idea of the present invention, within all should thinking and being included in protection scope of the present invention.
Claims (2)
1. a distributed physical-layer network coding modulator approach for multiple access channel in wireless network, is characterized in that, comprises the steps:
1) source mobile terminal is encoded to transmitted codewords by punctured convolutional code device by packets of information, is then broadcast to via node and cooperation mobile terminal;
2) via node is the signal waveform from source mobile terminal that receives with from the signal waveform of cooperation mobile terminal, and separated according to mark space, then alternately series connection generates new signal waveform;
If via node can be correct the data decode of source mobile terminal, the mobile terminal that need not cooperate carries out cooperation transmission; If via node can not be correct the data decode of source mobile terminal, via node will send the instruction that requires transmission identical data to cooperation mobile terminal, cooperation mobile terminal is received after instruction after the data decode from source mobile terminal, utilize different punctured convolutional code devices to encode, then send to via node;
3) the new signal waveform forming is by separating mediation decoding at the decoder of via node, output needle is the estimation code word with the combined coding device of cooperation mobile terminal to source mobile terminal;
4) the recursive system convolution coder that described estimation code word is admitted to via node carries out network code and carries out memoryless modulation, is then sent to base station;
5) base station receives and from the signal waveform of via node transmitting, first does soft demodulation and then decode.
2. the distributed physical-layer network coding modulator approach of multiple access channel in wireless network according to claim 1, it is characterized in that: in described step 5), soft demodulation is to allow the signal waveform receiving through one group of waveform matched filter, the decoder that the value of exporting from this group filter is sent to base station carries out decoding, and the decoder of described base station is for the decoder that is distributed in the super grid coder of source mobile terminal and the cooperation punctured convolutional code device of terminal and the recursive system convolution coder of via node composition.
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