CN103501206B - A kind of accurate perfect sequence method for designing being applicable to cognitive radio environment - Google Patents
A kind of accurate perfect sequence method for designing being applicable to cognitive radio environment Download PDFInfo
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- CN103501206B CN103501206B CN201310441364.9A CN201310441364A CN103501206B CN 103501206 B CN103501206 B CN 103501206B CN 201310441364 A CN201310441364 A CN 201310441364A CN 103501206 B CN103501206 B CN 103501206B
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Abstract
The invention discloses a kind of accurate perfect sequence method for designing being applicable to cognitive radio environment, random phasic serial signal group and frequency spectrum perception judgement vector is adopted to generate one group of cognitive frequency spectrum random phasic serial signal, again cognitive frequency spectrum random phasic serial signal carried out inverse Fourier transform thus obtain one group of basic sequence, generate the perfect autocorrelation sequence of same quantity, basic sequence group and perfect autocorrelation sequence group are carried out Kronecker multiplying, obtains accurate perfect sequence group.Adopt the accurate perfect sequence group that the present invention obtains, have close to perfect correlation properties, namely most auto-correlation function value is zero, and exhausted most cross-correlation function value is zero.The accurate perfect sequence group that the present invention obtains, can be widely used in cognitive radio system, the aspects such as synchronous in signal, channel estimating, multi-user's spread spectrum.
Description
Technical field
The invention belongs to communication technical field, more specifically say, relate to a kind of accurate perfect sequence method for designing being applicable to cognitive radio environment.
Background technology
Along with the continuous growth of wireless communication needs, frequency spectrum resource growing tension, it is idle that the frequency spectrum resource of simultaneously having authorized exists in various degree over time and space, become the new bottleneck of restriction Development of Wireless Communications, this just requires that future communication systems is while guarantee reliability and validity, also to possess the dynamic access ability of frequency spectrum, to improve frequency spectrum resource utilization rate.Cognitive radio CR(CognitiveRadio) technology arises at the historic moment, its core concept is that user has learning ability, can with surrounding environment interactive information, with perception with utilize usable spectrum at this environment space, and restriction and reduce the generation of conflict.
In cognitive radio environment, in order to make full use of idle frequency spectrum resource, CR environment is decomposed into a series of separate spectrum all frequency ranges, and according to the result of frequency spectrum perception and frequency spectrum judging, determines the position of idle frequency spectrum so that the use of CR environment.Because the spectral characteristic of external environment condition constantly changes along with passage of time, thus the distribution character of idle frequency spectrum also changes thereupon.If traditional sequence is used in CR environment, the sequential element that only idle frequency spectrum is corresponding is retained, and pressure is set as zero by remainder.Find through emulation and test, adopt the new sequence obtained in this way and no longer meet strict perfect autocorrelation performance (autocorrelation performance and their cross correlation).If adopt above-mentioned imperfections sequence for serious inter-user interference can be produced during multi-user communication in CR environment, increase the error rate of Transform-domain Communication Technology.
Summary of the invention
The object of the invention is to overcome the deficiencies in the prior art, a kind of accurate perfect sequence method for designing being applicable to cognitive radio environment is provided, the sequence set of acquisition is made to have close to perfect correlation properties, namely most auto-correlation function value is zero, and exhausted most cross-correlation function value is zero.
In order to realize foregoing invention object, the present invention is applicable to the accurate perfect sequence method for designing of cognitive radio environment, comprises step:
S1: perfect autocorrelation sequence group A={A
1, A
2..., A
i..., A
u, wherein: A
i={ a
i(0), a
i(1) ..., a
i(L-1) } represent i-th perfect autocorrelation sequence, U represents sequence number, and L represents sequence length, and the span of i is 1≤i≤U, a
il () is A
il element, the span of l is 0≤l≤L-1; The circumference auto-correlation function of perfect autocorrelation sequence meets:
And circumference cross-correlation function meets:
S2: generate U basic sequence b
i, generation method is:
S2.1: adopt frequency spectrum perception technology obtain frequency spectrum perception judgement vector S=S (0), S (1) ..., S (N-1) }, N represents the Frequency point quantity that frequency spectrum perception obtains;
S2.2: generate random phasic serial signal group P={P
1, P
2..., P
i..., P
u, wherein P
i={ p
i(0), p
i(1) ..., p
i(N-1) } i-th random phasic serial signal is represented; U cognitive frequency spectrum random phasic serial signal B is generated according to random phasic serial signal group P
i=Sdiag (P
i), diag (P
i) expression diagonal element is P
ithe diagonal matrix of middle element;
S2.3: to U cognitive frequency spectrum random phasic serial signal B
icarry out inverse Fourier transform and obtain U basic sequence b
i={ b
i(0), b
i(1) ..., b
i(N-1) }=IFFT{B
i, b
in () is b
ithe n-th element, the span of n is 0≤n≤N-1;
S3: U the perfect autocorrelation sequence A will obtained in step S1 respectively
iwith U the basic sequence b obtained in step S2
icarry out Kronecker multiplying, obtain accurate perfect sequence group C={c
1, c
2..., c
i..., c
u, wherein c
i={ c
i(0), c
i(1) ..., c
i(LN-1) } be i-th accurate perfect sequence, c
iin h element be: c
i(h)=a
i(l) × b
i(n), wherein h=lN+n.
Wherein, the generation method of step S2.1 intermediate frequency spectrum perception judgement vector S is: adopt frequency spectrum perception technical limit spacing external environment condition electromagnetic property, obtain the power spectrum amplitude on N number of Frequency point, if n-th, n=0,1 ... N-1 power spectrum amplitude is greater than pre-determined threshold, and setting this Frequency point numerical value S (n) is 0; If power spectrum amplitude is less than pre-determined threshold, setting this Frequency point numerical value S (n) is 1.
Wherein, in step S2.2, random phasic serial signal is pseudo-random phase sequences, and generation method is: first produce PRBS pseudo-random bit sequence, and the phase mapper then being inputed to the tap of r position obtains corresponding pseudo-random phase sequences P
i, wherein r represents tap figure place.
Wherein, phase mapper adopts 2
r-MPSK(MultiplePhaseShiftKeying, multi-system digital phase modulation) carry out phase mapping.
The present invention is applicable to the accurate perfect sequence method for designing of cognitive radio environment, random phasic serial signal group and frequency spectrum perception judgement vector is adopted to generate one group of cognitive frequency spectrum random phasic serial signal, again cognitive frequency spectrum random phasic serial signal carried out inverse Fourier transform thus obtain one group of basic sequence, generate the perfect autocorrelation sequence of same quantity, basic sequence group and perfect autocorrelation sequence group are carried out Kronecker multiplying, obtains accurate perfect sequence group.Adopt the accurate perfect sequence group that the present invention obtains, have close to perfect correlation properties, namely most auto-correlation function value is zero, and exhausted most cross-correlation function value is zero.The accurate perfect sequence group that the present invention obtains, can be widely used in cognitive radio system, the aspects such as synchronous in signal, channel estimating, multi-user's spread spectrum, improve systematic function, in the interference for reducing during multi-user communication between user, and reduce the error rate of cognitive spread spectrum communication system.
Accompanying drawing explanation
Fig. 1 is a kind of embodiment system construction drawing that the present invention is applicable to the accurate perfect sequence method for designing of cognitive radio environment;
Fig. 2 is the circumference auto-correlation function schematic diagram of the specific embodiment of the invention;
Fig. 3 is the circumference cross-correlation function schematic diagram of the specific embodiment of the invention.
Embodiment
Below in conjunction with accompanying drawing, the specific embodiment of the present invention is described, so that those skilled in the art understands the present invention better.Requiring particular attention is that, in the following description, when perhaps the detailed description of known function and design can desalinate main contents of the present invention, these are described in and will be left in the basket here.
Fig. 1 is a kind of embodiment system construction drawing that the present invention is applicable to the accurate perfect sequence method for designing of cognitive radio environment.As shown in Figure 1, realize system of the present invention and comprise frequency spectrum sensing module 1, frequency spectrum comparison module 2, random phasic serial signal generator module 3, cognitive frequency spectrum random phasic serial signal maker module 4, inverse Fourier transform module 5, perfect autocorrelation sequence generation module 6, Kronecker multiplication module 7, its workflow, namely concrete steps of the present invention are:
S101: perfect autocorrelation sequence generation module 6 generates perfect autocorrelation sequence group A={A
1, A
2..., A
i..., A
u, wherein A
i={ a
i(0), a
i(1) ..., a
i(L-1) } represent i-th perfect autocorrelation sequence, U represents sequence number, and L represents sequence length, and the span of i is 1≤i≤U, a
il () is A
il element, the span of l is 0≤l≤L-1.Sequence length L determines according to actual conditions.Perfect autocorrelation sequence group is one group of sequence set with desirable circumference auto-correlation function, and namely its circumference auto-correlation function meets:
And circumference cross-correlation function meets:
Wherein, mod represents complementation, and * represents conjugation, and τ represents relative sliding position, and the span of i ' is 1≤i '≤U and i ' ≠ i.
Perfect autocorrelation sequence group A={A in the present invention
1, A
2..., A
i..., A
uin each sequence can part identical, also can be all identical, also can be all different.
S102: formation base sequence b
ipresent embodiment adopts frequency spectrum sensing module 1, frequency spectrum comparison module 2, random phasic serial signal generator module 3, cognitive frequency spectrum random phasic serial signal maker module 4 and inverse Fourier transform module 5 to form basic sequence generation device, and this basic sequence generation device is prior art.Concrete generation comprises the following steps:
S201: frequency spectrum sensing module 1 adopts frequency spectrum perception technical limit spacing external environment condition electromagnetic property, and obtain the power spectrum amplitude on different frequency point, Frequency point quantity is designated as N.In present embodiment, frequency spectrum sensing module 1 is configured with the electromagnetic signal that reception antenna receives external environment condition.
S202: the power spectrum amplitude of each Frequency point that frequency spectrum comparison module 2 is obtained by comparison step S201 obtains frequency spectrum perception judgement vector S={ S (0), S (1), S (N-1) }, wherein S (n), n=0,1,, what N-1 represented each Frequency point takies situation.Its concrete grammar is: power spectrum amplitude and the presetting power spectrum amplitude threshold of all Frequency points obtained by step S101 compare, if the n-th power spectrum amplitude is greater than thresholding, represent that this Frequency point is occupied, setting this Frequency point numerical value S (n) is 0; If power spectrum amplitude is less than thresholding, represent that this Frequency point is idle, setting this Frequency point numerical value S (n) is 1.By power spectrum Amplitude Ratio comparatively, the frequency spectrum perception judgement vector be made up of numerical value 0,1 can be obtained, be used for describing external environment condition Frequency point service condition.In cognitive spread spectrum communication system, no matter be transmitting terminal or receiving terminal, by frequency spectrum perception, to adjudicate vector be consistent with comparing the frequency spectrum perception obtained.
S203: random phasic serial signal generator module 3 produces random phasic serial signal group P={P
1, P
2..., P
i..., P
u, wherein P
i={ p
i(0), p
i(1) ..., p
i(N-1) } i-th random phasic serial signal is represented.In present embodiment, i-th random phasic serial signal
wherein U is random phasic serial signal quantity, m
in () represents random phase, the span of n is that 0≤n≤N-1, j represents imaginary unit.In actual applications, random phasic serial signal P
iadopt pseudo-random phase sequences.In present embodiment, produce pseudo-random phase sequences P
iconcrete mode be: first produce PRBS pseudo-random bit sequence, the phase mapper then being inputed to the tap of r position obtains corresponding pseudo-random phase sequences P
i, tap figure place r determines according to actual conditions.When embody rule is implemented, phase mapper can adopt 2
r-MPSK or other similar fashion carry out phase mapping.
S204: cognitive frequency spectrum random phasic serial signal maker module 4, for the frequency spectrum perception judgement vector S that obtained by frequency spectrum comparison module 2 and the random phasic serial signal P that obtains of random phasic serial signal generator module 3
icarry out by element multiplying, obtain cognitive frequency spectrum random phasic serial signal B
i=Sdiag (P
i), diag (P
i) expression diagonal element is P
ithe diagonal matrix of middle element.Cognitive frequency spectrum random phasic serial signal B
imainly for generation of the sequence with noise characteristic, there is low probability of intercept, and different users can be distinguished in access mode.
S205: the cognitive frequency spectrum random phasic serial signal B that cognitive frequency spectrum random phasic serial signal maker module 4 exports by inverse Fourier transform module 5
icarry out inverse Fourier transform and obtain basic sequence b
i={ b
i(0), b
i(1) ..., b
i(N-1) }=IFFT{B
i, b
iin the n-th element be:
Wherein, the span of n is 0≤n≤N-1, λ is the power normalization factor, Ω
cfor in frequency spectrum perception judgement vector S, numerical value is the element set of 1, i.e. the set of idle frequence point.
The U that step S101 obtains by S103:Kronecker multiplication module 7 perfect autocorrelation sequence A
iwith U the basic sequence b that step S102 obtains
icorrespondence carries out Kronecker multiplying, i.e. A
iwith b
icarry out Kronecker multiplying and obtain accurate perfect sequence c
i={ c
i(0), c
i(1) ..., c
i(LN-1) }, wherein c
iin h element be: c
i(h)=a
i(l) × b
i(n), h=lN+n.Thus obtain accurate perfect sequence group C={c
1, c
2..., c
i..., c
u.
Embodiment
The expression formula of the sequence ci that the present invention obtains is:
c
i＝{a
i(0)×b
i(0),…,a
i(0)×b
i(n),…,a
i(0)×b
i(N-1),
a
i(1)×b
i(0),…,a
i(1)×b
i(n),…,a
i(1)×b
i(N-1),…,
a
i(L-1)×b
i(0),…,a
i(L-1)×b
i(n),…,a
i(L-1)×b
i(N-1)}
The expression formula of circumference auto-correlation function is:
The expression formula of circumference cross-correlation function is:
In order to beneficial effect of the present invention is described, adopt specific embodiment to carry out experiment simulation, the suitable function amplitude adopted in emulation is normalization amplitude.Simulation parameter is: the Frequency point quantity N=64 that frequency spectrum perception obtains, and frequency spectrum perception judgement vector is:
S＝{ones(16,1);zeros(8,1);ones(16,1);zeros(8,1);ones(16,1)}；
Namely, in 64 Frequency points, front 16 Frequency points are unoccupied, S (n)=1; 8 Frequency points are occupied afterwards, S (n)=0; 16 Frequency points are unoccupied afterwards, S (n)=1; 8 Frequency points are occupied afterwards, S (n)=0; Last 16 Frequency points are unoccupied, S (n)=1.
Sequence number U=4 is set.Random phasic serial signal group P={P
1, P
2, P
3, P
4length is adopted to be the Zadoff-Chu sequence of 64, corresponding root sequence is respectively 3,5,7,9.
The length L=16 of perfect autocorrelation sequence, perfect autocorrelation sequence group A={A
1, A
2, A
3, A
4be:
A
1＝[11111j-1-j1-11-11-j-1j]
A
2＝[1j-1-j1-11-11-j-1j1111]
A
3＝[1-11-11-j-1j11111j-1-j]
A
4＝[1-j-1j11111j-1-j1-11-1]
According to the accurate perfect sequence method for designing of the present invention, obtain sequence set C={c
1, c
2, c
3, c
4, visible sequence c
ilength be 1024.
Fig. 2 is the circumference auto-correlation function schematic diagram of the specific embodiment of the invention.As shown in Figure 2, when τ=0, the normalization amplitude of circumference auto-correlation function is 1; As 0 < | τ | during < 64, normalization amplitude is not 0; When | τ | >=64, the normalization amplitude of circumference auto-correlation function is 0.Visible, adopt the sequence set C={c that the present invention obtains in the present embodiment
1, c
2, c
3, c
4exhausted most circumference auto-correlation function value be zero.
Fig. 3 is the circumference cross-correlation function schematic diagram of the specific embodiment of the invention.In this emulation embodiment be with
(τ) circumference cross-correlation function is example, according to c
iexpression formula known emulation embodiment in, as 192 < τ < 320, circumference cross-correlation function is not 0.As shown in Figure 3, as 192 < τ < 320,
(τ) the normalization amplitude of circumference cross-correlation function is not 0, and other are 0.Visible, adopt the sequence set C={c that the present invention obtains in the present embodiment
1, c
2, c
3, c
4most circumference cross-correlation function values be zero.
Although be described the illustrative embodiment of the present invention above; so that those skilled in the art understand the present invention; but should be clear; the invention is not restricted to the scope of embodiment; to those skilled in the art; as long as various change to limit and in the spirit and scope of the present invention determined, these changes are apparent, and all innovation and creation utilizing the present invention to conceive are all at the row of protection in appended claim.
Claims (4)
1. be applicable to an accurate perfect sequence method for designing for cognitive radio environment, it is characterized in that, comprise the following steps:
S1: generate perfect autocorrelation sequence group A={A
1, A
2..., A
i..., A
u, wherein: A
i={ a
i(0), a
i(1) ..., a
i(L-1) } represent i-th perfect autocorrelation sequence, U represents sequence number, and L represents sequence length, and the span of i is 1≤i≤U, a
il () is A
il element, the span of l is 0≤l≤L-1; Each Sequence in perfect autocorrelation sequence group A is identical or all different;
S2: generate U basic sequence b
i, generation method is:
S2.1: adopt frequency spectrum perception technology obtain frequency spectrum perception judgement vector S=S (0), S (1) ..., S (N-1) }, N represents the Frequency point quantity that frequency spectrum perception obtains;
S2.2: generate random phasic serial signal group P={P
1, P
2..., P
i..., P
u, wherein P
i={ p
i(0), p
i(1) ..., p
i(N-1) } i-th random phasic serial signal is represented; U cognitive frequency spectrum random phasic serial signal B is generated according to random phasic serial signal group P
i=Sdiag (P
i), diag (P
i) expression diagonal element is P
ithe diagonal matrix of middle element;
S2.3: to U cognitive frequency spectrum random phasic serial signal B
icarry out inverse Fourier transform and obtain U basic sequence b
i={ b
i(0), b
i(1) ..., b
i(N-1) }=IFFT{B
i, b
in () is b
ithe n-th element, the span of n is 0≤n≤N-1;
S3: U the perfect autocorrelation sequence A will obtained in step S1 respectively
iwith U the basic sequence b obtained in step S2
icorrespondence carries out Kronecker multiplying, obtains accurate perfect sequence group C={c
1, c
2..., c
i..., c
u, wherein c
i={ c
i(0), c
i(1) ..., c
i(LN-1) } be i-th accurate perfect sequence, c
iin h element be: c
i(h)=a
i(l) × b
i(n), wherein h=lN+n.
2. accurate perfect sequence method for designing according to claim 1, it is characterized in that, the generation method of described step S2.1 intermediate frequency spectrum perception judgement vector S is: adopt frequency spectrum perception technical limit spacing external environment condition electromagnetic property, obtain the power spectrum amplitude on N number of Frequency point, if the n-th power spectrum amplitude is greater than pre-determined threshold, wherein n=0,1,, N-1, setting this Frequency point numerical value S (n) is 0; If power spectrum amplitude is less than pre-determined threshold, setting this Frequency point numerical value S (n) is 1.
3. accurate perfect sequence method for designing according to claim 1, it is characterized in that, in described step S2.2, random phasic serial signal is pseudo-random phase sequences, generation method is: first produce PRBS pseudo-random bit sequence, and the phase mapper then being inputed to the tap of r position obtains corresponding pseudo-random phase sequences P
i, wherein r represents tap figure place.
4. accurate perfect sequence method for designing according to claim 3, is characterized in that, described phase mapper adopts 2
r-MPSK carries out phase mapping.
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| CN101645725A (en) * | 2009-08-26 | 2010-02-10 | 西安电子科技大学 | Method for constructing time-frequency hop sequences in cognitive radio TFH-CDMA system |
| CN102255675A (en) * | 2010-05-19 | 2011-11-23 | 索尼公司 | Spectrum sensing device, method and program based on cognitive radio |
| CN103269323A (en) * | 2013-05-29 | 2013-08-28 | 电子科技大学 | Multi-user transform domain communicating system and method |
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| CN101645725A (en) * | 2009-08-26 | 2010-02-10 | 西安电子科技大学 | Method for constructing time-frequency hop sequences in cognitive radio TFH-CDMA system |
| CN102255675A (en) * | 2010-05-19 | 2011-11-23 | 索尼公司 | Spectrum sensing device, method and program based on cognitive radio |
| CN103269323A (en) * | 2013-05-29 | 2013-08-28 | 电子科技大学 | Multi-user transform domain communicating system and method |
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