CN102665221A - Cognitive radio frequency spectrum perception method based on compressed sensing and BP (back-propagation) neural network - Google Patents

Cognitive radio frequency spectrum perception method based on compressed sensing and BP (back-propagation) neural network Download PDF

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CN102665221A
CN102665221A CN2012100808404A CN201210080840A CN102665221A CN 102665221 A CN102665221 A CN 102665221A CN 2012100808404 A CN2012100808404 A CN 2012100808404A CN 201210080840 A CN201210080840 A CN 201210080840A CN 102665221 A CN102665221 A CN 102665221A
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neural net
frequency spectrum
cognitive radio
compression sampling
output
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朱琦
赵夙
王璐瑜
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Nanjing Post and Telecommunication University
Nanjing University of Posts and Telecommunications
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Abstract

The invention discloses a cognitive radio frequency spectrum perception method based on compressed sensing and a BP (back-propagation) neural network. The method of the invention comprises a training process and an actual detection process. The training process comprises: carrying out compression sampling whose rate is lower than a Nyquist sampling rate on an original signal of cognitive radio; carrying out 1-bit quantification processing on sampling data; taking the compression sampling data after the quantification processing as training input, taking an actual frequency band occupancy situation as training output, and training a BP neural network detector. The actual detection process comprises: carrying out the compression sampling on the original signal of the cognitive radio and carrying out the 1-bit quantification processing on the sampling data; inputting the compression sampling data after the quantification processing into the trained BP neural network detector so as to obtain the output, wherein the output is the frequency spectrum occupancy situation of the cognitive radio. The invention also discloses a cognitive radio frequency spectrum perception system which uses the above method. By using the method of the invention, algorithm complexity is low and real-time performance of the frequency spectrum detection can be greatly increased.

Description

Cognitive radio frequency spectrum cognitive method based on compressed sensing and BP neural net
Technical field
The invention belongs to wireless communication technology field, concrete, relate to a kind of cognitive radio frequency spectrum cognitive method and system.
Background technology
Along with the broad development of radio communication service, frequency spectrum resource is deficient day by day, and its main cause is the unreasonable of wireless frequency spectrum access technology---and the existing wireless communications system all adopts inefficient fixed channel assignment strategy.Cognitive radio is considered to address this problem one of the most effective new technology, and its allows cognitive user under the prerequisite that does not influence validated user proper communication in the frequency band, to share this frequency range.
The frequency spectrum perception technology is the important foundation link of cognition wireless network design; Have only and understand main user in real time quickly, could under the situation that it is not caused extra interference, realize second use, the raising wireless frequency spectrum utilance of wireless frequency spectrum the situation that frequency spectrum uses.
According to the nyquist sampling law: in the transfer process of carrying out analog/digital signal; When sample frequency
Figure 2012100808404100002DEST_PATH_IMAGE001
greater than signal in during 2 times (
Figure 2012100808404100002DEST_PATH_IMAGE003
) of highest frequency
Figure 566692DEST_PATH_IMAGE002
, the digital signal after the sampling can complete reservation raw information.Will guarantee generally that in practical application sample frequency is 5~10 times of signal highest frequency, under broadband even ultra broadband environment, signal will realize that harmless sampling needs very high sample frequency especially, and this is a test to sampling hardware.
Because the existing wireless communications system all adopts inefficient fixed channel assignment strategy, wireless frequency spectrum inserts unreasonable, and main CU frequency spectrum situation has very big frequency-domain sparse property under the actual conditions.Traditional theory is to handle these sparse signals like this: improve transmission efficiency for saving memory space, can do processed compressed to sparse signal.Suppose that length is that the signal x of N is that K-is sparse; Sampler is deferred to the nyquist sampling law and signal
Figure 512782DEST_PATH_IMAGE004
is projected to its sparse territory
Figure 2012100808404100002DEST_PATH_IMAGE005
i.e.
Figure 316921DEST_PATH_IMAGE006
, wherein
Figure DEST_PATH_IMAGE007
and
Figure 779870DEST_PATH_IMAGE008
after to signal sampling.These non-zero parameters and position are sent, and
Figure DEST_PATH_IMAGE009
the individual component that will receive at receiving terminal is put back in the relevant position and other positions and is filled zero and obtain the decompress(ion) signal.
This thinking has intrinsic shortcoming:
(1) because sampling rate requires height, signal length can be very long, so the direct transform process is consuming time longer;
The position of the individual component that (2) keeps is " self adaptation ", needs the space to deposit the component position;
(3) interference free performance is poor; Because this individual component is " most important ", can have serious consequences if lose some components in the transmission course.
Summary of the invention
Technical problem to be solved by this invention is that the existing in prior technology computation complexity is high, the deficiency of online detection real-time difference; A kind of cognitive radio frequency spectrum cognitive method and system based on compressed sensing and BP neural net is provided; The compressed sensing technology is applied to the frequency spectrum detection of cognitive radio; And with the complicated algorithm for reconstructing of BP (Back-Propagation) neural net replacement; Computation complexity is transferred to the network training of off-line from online detection, thereby can significantly improve the online detection real-time of detection system.
Compressed sensing is an emerging technology, provides a kind of estimation of directly non-self-adapting need not abandon the method for unnecessary component, and it has utilized the autocorrelation performance of sparse signal, uses a spot of projection to come recovering signal.The status of these projections is of equal value, thereby in transmission, loses and somely can not cause serious consequence.Compare with the high sampling rate of conventional thought; The only simple a part of data (but not total data) of gathering of compressed sensing; Partly give reduction of data with complex processing and bring in and do,, greatly reduce the sampling rate that needs in few extracting data information as much as possible of trying one's best.The compressed sensing technology is an extension of conventional information opinion; But for Signal Collection Technology has been brought revolutionary breakthrough; The prototype structure that its adopts non-self-adapting linear projection to come inhibit signal is with far below the nyquist frequency sampled signal, through the accurate reconstruct of numerical optimization problem.
Yet the compressed sensing technology exists a big inferior position: because algorithm for reconstructing is the NP-hard problem; Calculation of complex needs to consider that the associating of
Figure DEST_PATH_IMAGE011
sub spaces is exhaustive.Substitute
Figure DEST_PATH_IMAGE013
min algorithm with
Figure 908604DEST_PATH_IMAGE012
min algorithm; Can reduce complexity to a certain extent; But its algorithm complex is (
Figure DEST_PATH_IMAGE015
expression signal length) also near
Figure 288376DEST_PATH_IMAGE014
, is not suitable for energy consumption, the responsive perception scene of time consumption.Frequency spectrum perception is obtained too accurate frequency domain reconstruction signal and can be caused resource waste just in order to judge that roughly main user uses the frequency spectrum situation in addition.The present invention utilizes the powerful match function replacement compression process of reconstruction of BP neural net, is transferred on the prior network training during from the signal reconstruction process consuming time.Thereby both kept advantages such as compressed sensing low sampling rate, low time and space consumption, strong robustness, compression process are simple, and, reached real-time and detect requirement again from reducing the system complexity of decompressor end in essence.
The present invention is concrete to adopt following technical scheme to solve the problems of the technologies described above.
Based on the cognitive radio frequency spectrum cognitive method of compressed sensing and BP neural net, comprise training process and actual detected process; Wherein, training process may further comprise the steps:
Steps A 1, the primary signal of cognitive radio is lower than the compression sampling of Nyquist rate, and the compression sampling data that collect are carried out the 1-bit quantification treatment;
Steps A 2, with the compression sampling data after the 1-bit quantification treatment as training input, take situation as training output with actual frequency range, BP neural net detector is trained;
The actual detected process may further comprise the steps:
Step B1, the primary signal of cognitive radio is lower than the compression sampling of Nyquist rate, and the compression sampling data that collect are carried out the 1-bit quantification treatment;
Step B2, with the BP neural net detector that the compression sampling data after 1-bit quantification treatment inputs trains, the frequency spectrum that the output that obtains is said cognitive radio takies situation.
Adopt the cognitive radio frequency spectrum sensory perceptual system based on compressed sensing and BP neural net of said method, this system comprises:
The compression sampling unit is used for the primary signal of cognitive radio is lower than the compression sampling of Nyquist rate, and exports the compression sampling data;
The 1-bit quantifying unit is used for the compression sampling data of compression sampling unit output are carried out the 1-bit quantification treatment, and the data after the output processing;
BP neural net detector is input with compression sampling unit dateout, and the frequency spectrum of exporting said cognitive radio takies situation.
As the present invention's one preferred version; Said BP neural net detector is one to comprise three layers of BP neural net of input layer, latent layer, output layer; The input layer number is the signal length of compression sampling signal, and output layer node number is the frequency spectrum segments of said cognitive radio.
When the frequency spectrum broad of cognitive radio, the output layer neuron number can be bigger, as adopt above-mentioned preferred version, may bring BP neural metwork training difficulty, for this reason, can adopt the strategy of hierarchical detection, and is specific as follows:
Said BP neural net detector forms for
Figure 815303DEST_PATH_IMAGE016
individual BP neural net cascade; BP neural nets at different levels include input layer, latent layer, output layer; The band pass filter of connecting respectively between the upper and lower level BP neural net,
Figure 735986DEST_PATH_IMAGE016
is the integer greater than 1; If said cognitive radio frequency spectrum is divided into
Figure DEST_PATH_IMAGE017
individual frequency range; Make
Figure 878998DEST_PATH_IMAGE018
,
Figure DEST_PATH_IMAGE019
is the integer greater than 1; The input layer number of first order BP neural net is the signal length
Figure 365474DEST_PATH_IMAGE020
of compression sampling signal, and output layer node number is ; The input layer number of second level BP neural net is
Figure 952051DEST_PATH_IMAGE022
, and output layer node number is
Figure DEST_PATH_IMAGE023
; The input layer number of third level BP neural net is , and the output layer neuron number is
Figure DEST_PATH_IMAGE025
; The rest may be inferred; The input layer number of
Figure 791886DEST_PATH_IMAGE016
level BP neural net is
Figure 904109DEST_PATH_IMAGE026
, and the output layer neuron number is
Figure DEST_PATH_IMAGE027
.
The hidden neuron of said BP neural net is several to be confirmed or confirms according to following formula according to test:
In the formula;
Figure DEST_PATH_IMAGE029
is the hidden neuron number;
Figure 478233DEST_PATH_IMAGE030
is the input layer number;
Figure DEST_PATH_IMAGE031
is the output layer neuron number,
Figure 903661DEST_PATH_IMAGE032
be constant and
Figure DEST_PATH_IMAGE033
.
For the frequency spectrum perception under the cognitive radio environment, the present invention introduces the compressed sensing technology first, thereby can adopt the sample rate that is lower than Nyquist rate to carry out compression sampling, has reduced the requirement to hardware; And utilize the BP neural net to replace compression algorithm for reconstructing process, computation complexity is taken the network training that situation is transferred to off-line from online detection; And, significantly reduce data complexity through 1-bit quantification treatment sampled data, and reduce the neural metwork training complexity, avoid " crossing training ", and can reduce The noise to a certain extent.
Description of drawings
Fig. 1 detects the scene sketch map for cognitive radio frequency spectrum;
Fig. 2 is a BP neural network structure sketch map;
Fig. 3 is the cognitive radio frequency spectrum cognitive method schematic flow sheet based on compressed sensing and BP neural net of the present invention;
Fig. 4 is the schematic flow sheet that substep detects;
Fig. 5 is the principle schematic that substep detects.
Embodiment
Below in conjunction with accompanying drawing technical scheme of the present invention is elaborated:
Fig. 1 has shown the cognitive radio scene in the typical fdma system (like GSM, radio data system, OFDM etc.); Wherein, Main CU spectral bandwidth is fixed, and inferior user and main user share frequency spectrum
Figure 174848DEST_PATH_IMAGE034
.If the main number of users that is in activated state (active) is
Figure 480059DEST_PATH_IMAGE009
; It is
Figure DEST_PATH_IMAGE037
that main user
Figure 331472DEST_PATH_IMAGE036
sends bandwidth through radio-frequency unit; The modulation signal
Figure DEST_PATH_IMAGE039
that center spectrum is
Figure 682294DEST_PATH_IMAGE038
,
Figure 951863DEST_PATH_IMAGE040
.Because main user's frequency spectrum occupied bandwidth is fixed, signal has the piece sparse characteristic.The frequency spectrum of frequency spectrum perception specification requirement real-time perception channel takies situation, need not harmless reconstruction signal.According to this detection target, can introduce the compression sampling theoretical frame.The only simple a part of data (but not total data) of gathering of compressed sensing are partly given reduction of data with complex processing and are brought in and do, and in few extracting data information as much as possible of trying one's best, greatly reduce the sampling rate that needs.Yet the high shortcoming of algorithm for reconstructing computation complexity that it had also makes the real-time of frequency spectrum detection to meet the demands.
Thinking of the present invention is to replace complicated compression algorithm for reconstructing with the BP neural net, computation complexity is transferred to the network training of off-line from online detection, thereby can significantly improve the online detection real-time of detection system.
The structure of BP neural net is as shown in Figure 2, has three layers or above network configuration (being divided into input layer, latent layer and output layer), and realization is complete between the different layers neuron connects, then continuous mutually with the neuron of layer.Input layer obtains training sample, propagates through latent course output layer, and each neuron of output layer obtains the input response of network.Then, be that target begins successively to revise from output layer and is connected weights to reduce target and actual value error, until getting back to input layer.The BP neural net is the core of feedforward neural network, has drawn the elite of neural network theory.Verified, can approach with the BP network of single latent layer for a continuous function in any closed interval.That is to say that three layers of BP network can approach any continuous function with arbitrary accuracy.Therefore the BP network application is extensive, and the neural network model of 80%-90% has adopted BP network or its version.
The BP nerve network system to the overall error function of all
Figure DEST_PATH_IMAGE041
individual training samples is:
Figure 847882DEST_PATH_IMAGE042
(1)
As target function, the systematic learning process will be by making error function reduce fastest direction adjustment weight coefficient till obtaining satisfied weight coefficient collection with formula 1 in system.
The broader frequency spectrum that the BP neural net is introduced based on compressed sensing detects, and makes that (compressed domain CD) or on the low dimension of the title territory realizes, all is favourable as far as compressed sensing and two angles of neural net in compression domain in the neural network learning training.As far as the compressed sensing frequency spectrum detection, reduced the complexity of compressed sensing signal reconstruction: like Fig. 2 scene, detecting requirement is the situation that takies of each frequency range, is similar to the classification problem of neural net, and need can't harm reconstruction signal itself.Introduce neural net,, not only reduced the scale that needs deal with data, also improved requirement real-time with this compressed sensing process of reconstruction that replaces NP-hard.Only need the good network of precondition in the reality, just can obtain the occupied information of each frequency range in the short time, help the real-time application at the utmost point.From the neural net angle; The signal length that the frequency spectrum detection problem need be handled is big, situation is more, is unfavorable for network training, and it is theoretical to introduce compressed sensing; Problem is transferred to lower dimensional space from higher dimensional space; The deal with data amount subtracts greatly, has reduced the time and the space cost of signal processing, has improved accuracy in detection.
Cognitive radio frequency spectrum compressed sensing system based on the BP neural net of the present invention, as shown in Figure 3, comprising:
The compression sampling unit is used for the primary signal of cognitive radio is lower than the compression sampling of Nyquist rate, and exports the compression sampling data;
The 1-bit quantifying unit is used for the compression sampling data of compression sampling unit output are carried out the 1-bit quantification treatment, and the data after the output processing;
BP neural net detector is input with compression sampling unit dateout, exports the frequency spectrum detecting result of said cognitive radio.
When adopting said system to carry out frequency spectrum perception, be divided into two processes: training process and actual detected process.Each process can be divided into three parts: compression sampling, quantification treatment, neural metwork training/neural net detect.
Adopt the BP neural net to carry out frequency spectrum detection, key is how to design input, output and network configuration, below this three aspect is described respectively.
(1) detects input
Input obviously should be relevant with the result that node sample obtains.The most directly method is that information that node is obtained with the speed sampling of nyquist sampling law regulation is as input.But input signal too complex in this way is unfavorable for storage, calculation cost and network training.Adopt the compression sampling in the compressed sensing technology among the present invention, the primary signal of cognitive radio is lower than the compression sampling of Nyquist rate, thereby obtain comparatively simply input.Its principle is following: suppose
Figure 514487DEST_PATH_IMAGE044
be the unknown vector (can refer to signal or image) on
Figure DEST_PATH_IMAGE045
territory according to actual conditions, need obtain in some way and reconstruction signal.To accomplish this purpose generally speaking and need
Figure 278787DEST_PATH_IMAGE020
individual sampled point at least.But suppose to have such priori: under a known conversion; The transformation results of
Figure 839081DEST_PATH_IMAGE044
is sparse or compressible, the data-signal that this moment, we can obtain
Figure 249782DEST_PATH_IMAGE044
from
Figure 220515DEST_PATH_IMAGE046
individual linear equation (rather than simple pixel samples).If
Figure 194604DEST_PATH_IMAGE046
is individual
Linear equation is selected appropriate and is allowed reconstruction error to a certain degree, and
Figure 357208DEST_PATH_IMAGE046
can be much smaller than the sampling number of common needs
Order
Figure 362073DEST_PATH_IMAGE020
.If the resultant signal
Figure 675374DEST_PATH_IMAGE044
of time user's perception is the one-dimensional signal of length
Figure 909040DEST_PATH_IMAGE015
in the current frequency spectrum, degree of rarefication (promptly contains for
Figure 104846DEST_PATH_IMAGE009
individual nonzero value is arranged), the two-dimensional observation matrix (
Figure DEST_PATH_IMAGE049
) that gaussian random matrix
Figure DEST_PATH_IMAGE047
is
Figure 902514DEST_PATH_IMAGE048
.Itself is not or not signal
Sparse; But it is sparse or have a compressibility on frequency domain; Thereby change base
Figure 204630DEST_PATH_IMAGE050
but following rarefaction representation Fourier, then be
The compressible sampled signal of uniting
Figure DEST_PATH_IMAGE051
.This compression sampling speed is to advise far below nyquist sampling theorem
Fixed minimum sampling rate.Can be referring to following document [1]-[3] about the more detailed content of compressed sensing:
[1]?Candès?E?J,?Romberg?J,?Tao?T.?Stable?signal?recovery?from?incomplete?and?inaccurate?measurements?[J].?Communications?on?Pure?and?Applied?Mathematics,?2006,?59(8):1207–1223.
[2]?Donoho?D?L.?Compressed?sensing?[J].?IEEE?Transactions?on?Information?Theory,?2006,?52(4):1289-1306.
[3]?Zhi?T,?Giannakis?G?B.?Compressed?sensing?for?wideband?cognitive?radio[C].?2007?IEEE?international?conference?on?acoustics,?speech,?and?signal?processing,?April?15-20,?2007:?IV-1357-?IV-1360.
According to the theoretical discussion of front, when satisfying certain condition, reconstruction signal as a result that can compression sampling, this this such input value of meaning is comprising and enough is being used to the spectrum information judged.Even if but it is theoretical to introduce compressed sensing, it is still comparatively complicated to detect input.Signal input value is continuous, and possibility is unfavorable for the convergence of learning process too much.
In addition; The transfer function that the node of neural net is taked has certain requirement to the span of characteristic; Like the sigmoid function value is [1; 1], though its domain of definition is
Figure 426664DEST_PATH_IMAGE052
, the excessive too small function that all will cause of argument value is saturated; Make that the output valve discrimination is too little, convergence with learning process is unfavorable for classifying.
Comprehensive above-mentioned considering, the signal that the present invention obtains compression sampling is done the 1-bit quantification treatment, as the input of BP neural net.The complexity, the simplification that have reduced target function on the one hand detect input; Also avoided the generation of above-mentioned function saturated conditions on the other hand.
The principle that 1-bit quantizes is following: establish primary signal length for ; Obtain the detection signal
Figure DEST_PATH_IMAGE055
of length through compression sampling for
Figure 372851DEST_PATH_IMAGE054
; According to following formula observation signal
Figure 429799DEST_PATH_IMAGE056
is done the 1-bit quantification treatment, obtains length and be the input of the detection behind the coding of :
(2)
Wherein
Figure 532677DEST_PATH_IMAGE058
expression sign function is defined as
Figure DEST_PATH_IMAGE059
(3)
Emulation experiment proves: the signal after quantizing through 1-bit, and convergence rate is obviously accelerated, and the training error of network significantly reduces, and takies in various frequency ranges and almost can both obtain better to detect effect under the situation, and its faults rate is much smaller than quantification treatment situation not.
(2) detect output
The output of neural net should be a continuous variable, in order to realize classification with it, need do suitable coding to classification according to output.Considering that
Figure 974154DEST_PATH_IMAGE017
individual segmentation spectrum region is equiprobable maybe be by main CU; Can regard each output node as one 0,1 two-valued variable,
Figure 823292DEST_PATH_IMAGE017
individual output node codified obtains
Figure 511763DEST_PATH_IMAGE060
type.
For example if can obtain 32 types of codings with 5 nodes:
00000,00001,00010,00011,00100,00101,00110,00111,
01000,01001,01010,01011,01100,01101,01110,01111,
10000,10001,10010,10011,10100,10101,10110,10111,
11000,11001,11010,11011,11100,?11101,11110,11111。
Wherein expression judged result is a channel idle, represent that judged result is that channel is occupied.Also can represent with the corresponding decimal system of coding.
(3) neural network structure
The concrete structure of neural net comprises several node layers (or claiming neuron), every layer of how much node of employing etc., need decide according to practical problem.Generally speaking, for most application scenarios, adopt the three-layer neural network of a latent layer just can perfectly accomplish artificial tasks.The input layer number is exactly the dimension of sample characteristics; Adopt the length
Figure 646684DEST_PATH_IMAGE020
of coding back input signal in the present invention; The output layer interstitial content can be confirmed as frequency spectrum segmentation number
Figure 563956DEST_PATH_IMAGE017
according to top discussion.Unique uncertain be in the middle of the number of latent layer.Generally speaking, the hidden node number will cause bigger training error very little, be referred to as " owing study " in the neural network theory.The big more neural network of hidden node number will have stronger learning ability, on training set, converge to separating of the littler target function of acquisition more easily.But relative, strong excessively learning ability can cause more weak popularization ability, though promptly can obtain very little training error, on new independent sample, but obtains very high test error, and in neural network theory, this is referred to as " crossing study ".To obtain balance " crossing study " and " owing study ", need to confirm good the number of hidden nodes.The number of middle latent layer does not have definite theoretical value, needs to obtain through test method.Tentative calculation is several times done by system; Select several different hidden node numbers; Respectively training sample set is made an experiment; Adopt the leaving-one method cross validation, select interstitial content
Figure 782448DEST_PATH_IMAGE064
preferably according to error rate.Also can confirm according to following empirical equation:
Figure 392552DEST_PATH_IMAGE028
In the formula;
Figure 63705DEST_PATH_IMAGE029
is the hidden neuron number;
Figure 112563DEST_PATH_IMAGE030
is the input layer number;
Figure 933364DEST_PATH_IMAGE031
is the output layer neuron number,
Figure 963637DEST_PATH_IMAGE032
be constant and .
Adopt the BP neural net detector of said structure; When frequency spectrum segmentation number
Figure 381160DEST_PATH_IMAGE017
is big; The form that corresponding number of categories
Figure 324976DEST_PATH_IMAGE060
can increase with power series increases fast, is unfavorable for network training and accurately classification.For this reason; As
Figure 526151DEST_PATH_IMAGE017
when big; Can adopt the strategy of hierarchical detection, specific as follows:
Said BP neural net detector forms for
Figure 922628DEST_PATH_IMAGE016
individual BP neural net cascade; BP neural nets at different levels include input layer, latent layer, output layer; The band pass filter of connecting respectively between the upper and lower level BP neural net, is the integer greater than 1; If said cognitive radio frequency spectrum is divided into
Figure 30054DEST_PATH_IMAGE017
individual frequency range; Make ,
Figure 285903DEST_PATH_IMAGE019
is the integer greater than 1; The input layer number of first order BP neural net is the signal length
Figure 401626DEST_PATH_IMAGE020
of compression sampling signal, and output layer node number is
Figure 929822DEST_PATH_IMAGE021
; The input layer number of second level BP neural net is
Figure 282918DEST_PATH_IMAGE022
, and output layer node number is ; The input layer number of third level BP neural net is
Figure 370140DEST_PATH_IMAGE024
, and the output layer neuron number is
Figure 877476DEST_PATH_IMAGE025
; The rest may be inferred; The input layer number of
Figure 591354DEST_PATH_IMAGE016
level BP neural net is
Figure 449720DEST_PATH_IMAGE026
, and the output layer neuron number is
Figure 907246DEST_PATH_IMAGE027
; The hidden neuron of said BP neural net is several to be confirmed or confirms according to following formula according to test:
Figure 328475DEST_PATH_IMAGE028
In the formula;
Figure 229566DEST_PATH_IMAGE029
is the hidden neuron number;
Figure 558917DEST_PATH_IMAGE030
is the input layer number;
Figure 305287DEST_PATH_IMAGE031
is the output layer neuron number, be constant and
Figure 108475DEST_PATH_IMAGE033
.
The flow process of hierarchical detection is as shown in Figure 4.The broader frequency spectrum segments that order detects,
Figure 472253DEST_PATH_IMAGE019
is the integer greater than 1.With
Figure DEST_PATH_IMAGE065
as the output node number of first order BP neural net; Be that first order detection is divided into entire spectrum section
Figure 97586DEST_PATH_IMAGE066
; Corresponding one-level band pass filter is
Figure DEST_PATH_IMAGE067
; Signal can extract the information of signal on frequency domain
Figure DEST_PATH_IMAGE069
through filter; When the one-level neural net
Figure DEST_PATH_IMAGE071
of signal
Figure 464204DEST_PATH_IMAGE070
through the training completion; Obtain the binary system output encoder
Figure 193574DEST_PATH_IMAGE072
of length,
Figure DEST_PATH_IMAGE073
for
Figure 779779DEST_PATH_IMAGE065
.Extracting one-level detects and takies frequency spectrum segment number set
Figure 594599DEST_PATH_IMAGE074
in the coding; Show
Figure DEST_PATH_IMAGE075
the carrier frequency section of attaching most importance to district, meter
Figure 811429DEST_PATH_IMAGE076
; If be eager to distribute the frequency spectrum cavity-pocket of bulk; Only need directly from set
Figure DEST_PATH_IMAGE077
, to extract to get final product
Figure 997822DEST_PATH_IMAGE078
.
Element is done further detection in the set to
Figure DEST_PATH_IMAGE079
; Obtain the frequency spectrum cavity-pocket of smaller piece; Be about to signal
Figure 379256DEST_PATH_IMAGE070
through band pass filter collection ; Obtain set of signals
Figure DEST_PATH_IMAGE081
; This
Figure 225782DEST_PATH_IMAGE082
individual signal is passed through the secondary neural net that training is accomplished respectively; Obtain the binary system output encoder
Figure 515949DEST_PATH_IMAGE084
of length for ;
Figure DEST_PATH_IMAGE085
; Extract and to take frequency spectrum segment number set
Figure 68284DEST_PATH_IMAGE086
in the secondary detection coding; Show
Figure DEST_PATH_IMAGE087
the carrier frequency section of attaching most importance to district, meter
Figure 191705DEST_PATH_IMAGE088
.If this moment, the bandwidth of frequency spectrum cavity-pocket was consistent with the required bandwidth of cognitive system transmission information; Then from set
Figure DEST_PATH_IMAGE089
, extract,
Figure 753267DEST_PATH_IMAGE090
.
If element is done further detection in will gathering ; The band pass filter collection
Figure 821510DEST_PATH_IMAGE092
that then signal is finished coefficient correlation through adjusted carries out next step detection; So substep detects; A various challenge of classification is reduced to the simple problem of a plurality of less number of categories, and its principle is as shown in Figure 5.
This improvement strategy of hierarchical detection is through increasing the band pass filter of some; Relevant parameter through the adjustment band pass filter (because segmentation parameter
Figure 809057DEST_PATH_IMAGE019
is fixed, can be controlled its parameter binary system output encoder that detection obtains according to upper level through simple software and upgrade the logical parameter of band automatically.), obtain interested signal flexibly, the progressively refinement testing result of classification.This improvement strategy can requirement of real time, can obtain the spectrum distribution situation fast roughly, also can satisfy the accurate needs that detect, and reaches the testing result under the arbitrary accuracy through refinement progressively.
The input layer of neural net has been simplified in this corrective measure, and complicated neural net is divided into a plurality of simple neural metwork training processes, has simplified problem; Because the relevant parameter of band pass filter can carry out the self adaptation adjustment through software, system is increased in the controlled range the needs of hardware, can not cause too big burden; The result that scheme obtains also can satisfy the requirement of real-time and accuracy simultaneously, and can adjust flexibly according to actual conditions, and this scheme has enlarged the scope of application based on the compression frequency spectrum perception of neural net greatly.

Claims (7)

1. the cognitive radio frequency spectrum cognitive method based on compressed sensing and BP neural net is characterized in that, comprises training process and actual detected process; Wherein, training process may further comprise the steps:
Steps A 1, the primary signal of cognitive radio is lower than the compression sampling of Nyquist rate, and the compression sampling data that collect are carried out the 1-bit quantification treatment;
Steps A 2, with the compression sampling data after the 1-bit quantification treatment as training input, take situation as training output with actual frequency range, BP neural net detector is trained;
The actual detected process may further comprise the steps:
Step B1, the primary signal of cognitive radio is lower than the compression sampling of Nyquist rate, and the compression sampling data that collect are carried out the 1-bit quantification treatment;
Step B2, with the BP neural net detector that the compression sampling data after 1-bit quantification treatment inputs trains, the frequency spectrum that the output that obtains is said cognitive radio takies situation.
2. according to claim 1 based on the cognitive radio frequency spectrum cognitive method of compressed sensing and BP neural net; It is characterized in that; Said BP neural net detector is one to comprise three layers of BP neural net of input layer, latent layer, output layer; The input layer number is the signal length of compression sampling signal, and output layer node number is the frequency spectrum segments of said cognitive radio.
3. according to claim 1 based on the cognitive radio frequency spectrum cognitive method of compressed sensing and BP neural net; It is characterized in that; Said BP neural net detector forms for
Figure 2012100808404100001DEST_PATH_IMAGE002
individual BP neural net cascade; BP neural nets at different levels include input layer, latent layer, output layer; The band pass filter of connecting respectively between the upper and lower level BP neural net, is the integer greater than 1; If said cognitive radio frequency spectrum is divided into individual frequency range; Make
Figure 2012100808404100001DEST_PATH_IMAGE006
,
Figure 2012100808404100001DEST_PATH_IMAGE008
is the integer greater than 1; The input layer number of first order BP neural net is the signal length
Figure 2012100808404100001DEST_PATH_IMAGE010
of compression sampling signal, and output layer node number is ; The input layer number of second level BP neural net is
Figure 2012100808404100001DEST_PATH_IMAGE014
, and output layer node number is
Figure 2012100808404100001DEST_PATH_IMAGE016
; The input layer number of third level BP neural net is , and the output layer neuron number is
Figure 2012100808404100001DEST_PATH_IMAGE020
; The rest may be inferred; The input layer number of level BP neural net is
Figure 2012100808404100001DEST_PATH_IMAGE022
, and the output layer neuron number is
Figure 2012100808404100001DEST_PATH_IMAGE024
.
4. like claim 2 or 3 said cognitive radio frequency spectrum cognitive methods, it is characterized in that the hidden neuron of said BP neural net is several to be confirmed or confirm according to following formula according to test based on compressed sensing and BP neural net:
Figure 2012100808404100001DEST_PATH_IMAGE026
In the formula;
Figure 2012100808404100001DEST_PATH_IMAGE028
is the hidden neuron number;
Figure 2012100808404100001DEST_PATH_IMAGE030
is the input layer number;
Figure 2012100808404100001DEST_PATH_IMAGE032
is the output layer neuron number, be constant and
Figure 2012100808404100001DEST_PATH_IMAGE036
.
5. cognitive radio frequency spectrum compressed sensing system based on the BP neural net that adopts the said method of claim 1 is characterized in that this system comprises:
The compression sampling unit is used for the primary signal of cognitive radio is lower than the compression sampling of Nyquist rate, and exports the compression sampling data;
The 1-bit quantifying unit is used for the compression sampling data of compression sampling unit output are carried out the 1-bit quantification treatment, and the data after the output processing;
BP neural net detector is input with compression sampling unit dateout, and the frequency spectrum of exporting said cognitive radio takies situation.
6. like the said cognitive radio frequency spectrum compressed sensing system of claim 5 based on the BP neural net; It is characterized in that; Said BP neural net detector is one to comprise three layers of BP neural net of input layer, latent layer, output layer; The input layer number is the signal length of compression sampling signal, and output layer node number is the frequency spectrum segments of said cognitive radio, and hidden neuron is several to be confirmed or confirm according to following formula according to test:
In the formula;
Figure 554496DEST_PATH_IMAGE028
is the hidden neuron number;
Figure 644812DEST_PATH_IMAGE030
is the input layer number;
Figure 639444DEST_PATH_IMAGE032
is the output layer neuron number,
Figure 157013DEST_PATH_IMAGE034
be constant and .
7. like the said cognitive radio frequency spectrum compressed sensing system of claim 5 based on the BP neural net; It is characterized in that; Said BP neural net detector forms for
Figure 498312DEST_PATH_IMAGE002
individual BP neural net cascade; BP neural nets at different levels include input layer, latent layer, output layer; The band pass filter of connecting respectively between the upper and lower level BP neural net,
Figure 344521DEST_PATH_IMAGE002
is the integer greater than 1; If said cognitive radio frequency spectrum is divided into
Figure 32992DEST_PATH_IMAGE004
individual frequency range; Make
Figure 967581DEST_PATH_IMAGE006
,
Figure 399699DEST_PATH_IMAGE008
is the integer greater than 1; The input layer number of first order BP neural net is the signal length
Figure 555874DEST_PATH_IMAGE010
of compression sampling signal, and output layer node number is
Figure 165978DEST_PATH_IMAGE012
; The input layer number of second level BP neural net is
Figure 650180DEST_PATH_IMAGE014
, and output layer node number is
Figure 620410DEST_PATH_IMAGE016
; The input layer number of third level BP neural net is
Figure 441211DEST_PATH_IMAGE018
, and the output layer neuron number is
Figure 471484DEST_PATH_IMAGE020
; The rest may be inferred; The input layer number of
Figure 380665DEST_PATH_IMAGE002
level BP neural net is , and the output layer neuron number is
Figure 98402DEST_PATH_IMAGE024
; The hidden neuron of BP neural nets at different levels is several to be confirmed or confirms according to following formula according to test:
Figure 299577DEST_PATH_IMAGE026
In the formula;
Figure 430475DEST_PATH_IMAGE028
is the hidden neuron number;
Figure 8087DEST_PATH_IMAGE030
is the input layer number;
Figure 803480DEST_PATH_IMAGE032
is the output layer neuron number,
Figure 175555DEST_PATH_IMAGE034
be constant and
Figure 793750DEST_PATH_IMAGE036
.
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