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"Method For Blind Demodulation At Higher Orders Of Serveral Linear Waveform Transmitters"

Abstract: Method of blind demodulation of signals arising from one or more transmitters, the signals consisting of a mixture of symbols comprising at least one step of separating the transmitters by using the temporal independence of the symbol trains specific to a transmitter and the mutual independence of the transmitters.

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Notices, Deadlines & Correspondence

Patent Information

Application #
Filing Date
16 January 2008
Publication Number
33/2008
Publication Type
INA
Invention Field
ELECTRONICS
Status
Email
Parent Application

Applicants

THALES
45, RUE DE VILLIERS, 92200 NEUILLY SUR SEINE, FRANCE

Inventors

1. ANNE FERREOL
3-5 RUE THOMAS D'ORLEANS, 92000 COLOMBES, FRANCE

Specification

METHOD FOR BLIND DEMODULATION AT HIGHER ORDERS OF SEVERAL LINEAR WAVEFORM TRANSMITTERS The invention relates notably to a method of blind demodulation at higher orders of linear waveform where the signals of several radiocommunication transmitters are received on a system of several antennas. Antenna processing processes the observations originating from several sensors. Figure 1 shows a system of antennas composed of an array with several antennas receiving several radio-electric sources with different angles of incidence. The antennas of the array receive the sources with a phase and an amplitude dependent on the angle of incidence of the sources, as well as the position of the antennas. Figure 2 shows that the angles of incidence of the sources can be parametrized either in one dimension, 1D, with the azimuth 0m or in two dimensions, 2D, with the angles of azimuth 0m and elevation Am. Antenna processing techniques utilize the spatial diversity of the sources: use of the spatial position of the antennas of the array so as to better utilize the differences in incidence and in distance of the sources. Antenna processing breaks up into two major areas of activity: • Goniometry, the objective of which is to determine the incidences 0m in 1D or the pair of incidences (0m, Am) in 2D. For this purpose, goniometry algorithms use the observations arising from the antennas or sensors. Figure 2 shows that goniometry is performed in one dimension, 1D, when the waves from the transmitters propagate in the same plane and that otherwise it is necessary to apply goniometry in two dimensions, 2D. This plane of the waves is often that of the antenna array where the angle of elevation is zero. • Spatial filtering, illustrated in Figure 3, the objective of which is to extract either the modulated signals sm(t) or the symbols contained in the signal (Demodulation). This filtering consists in combining the signals received on the sensor array so as to form an optimal reception antenna for one of the sources. Spatial filtering can be blind or cooperative. It is cooperative when there exists a priori knowledge about the signals transmitted (direction of arrival, symbol sequences, etc.) and it is blind in the converse case. Included in this activity are the activities of blind separation of sources, matched filtering on direction of arrival (beamforming) or on replicas, multi-sensor MODEM (demodulation), etc. The current techniques of multiple input multiple output or MIMO blind demodulation [11] [12][13][14], have notably the drawback of processing only the case of baseband transmitters with 1 sample per symbol. In these techniques, there exist procedures utilizing solely statistics of order 2 [12]. Other procedures are extensions of the CMA technique [11] which, in particular, in single input multiple output or SIMO, have the drawback of converging less empty than order-2 procedures [5] [9]. The procedure in [13] has notably the drawback of demodulating the transmitters one after another by an iterative technique of successive elimination of the transmitters to be demodulated. This approach exhibits the drawback of not processing the transmitters in an equal manner. The invention relates to a method of blind demodulation of signals arising from one or more transmitters, the signals consisting of a mixture of symbols where the signals are received on a system comprising several receivers characterized in that it comprises at least one step of separating the transmitters by using the temporal independence of the symbol trains {ak-p,i} indexed by "p" specific to a transmitter and the mutual independence of the transmitters, being the index of a transmitter by "i". The method according to the invention exhibits notably the following advantages: • the symbol rates of the transmitters can be different and are, consequently, not necessarily equal to 1 sample per symbol, • the transmitters are not necessarily baseband and can have different carrier frequencies, • the transmitters are demodulated jointly without performing a technique of iterative demodulation of each of the transmitters. The technique does not make any assumption about the constellation as in document [11], • the transmitters can have different shaping filters, • the method is not affected by an over-estimation of order of the model as in [12] involving ARM A models (Auto Regressive with Adapted Mean) - Other characteristics and advantages of the present invention will be 3tter apparent on reading the description which follows of an exemplary nbodiment given by way of wholly nonlimiting illustration accompanied by the gures which represent: • Figure 1 a diagram comprising transmitters and an antenna processing system, • Figure 2 the representation of an incidence of a source, • Figure 3 spatial filtering by beamforming in a direction, • Figure 4 a schematic of the demodulation of the symbols of the mth transmitter in the MIMO context, • Figure 5 a transmitter with linear modulation, • Figure 6 an exemplary constellation of a phase-shifted 8-QAM modulation, • Figure 7 a schematic of the steps of a first variant embodiment of the invention, and • Figure 8 a diagram of the steps of a second variant of the invention. The method according to the invention relates notably to the demodulation, that is to say the extraction of the symbols {akm} transmitted by the m transmitter. Figure 4 illustrates the propagation of a signal through a multi-path channel. The mth transmitter transmits the symbol Ok,m at the instant kTm where Tm is the symbol period. Demodulation consists in estimating and detecting the symbols so as to obtain the symbols akm at the output of the demodulator. Figure 4 shows the case of two transmitters with linear modulation: the symbol train {ak,m} is filtered linearly by a transmission filter also called the shaping filter. The transmission filters of each of the transmitters may be different. The method is concerned notably with techniques of blind demodulation of the symbols {ak,m} of several transmitters indexed by "m" with linear modulation. Blind techniques do not use any a priori information about the signals transmitted: shaping filter, training sequence, etc. Before making explicit the steps implemented by the invention a few reminders necessary for the understanding thereof are given. Linear modulation The diagram of Figure 5 shows the process of the linear modulation of a symbol train {ak} with the rate T by a shaping filter h0(t). The symbol comb c(t) is first of all filtered by the shaping filter hd(f) and thereafter transposed to the carrier frequency f0 The NRZ filter, which is a temporal gate of length T and defined by ho(t)=TTT(t-T/2), is a particular example of a transmission filter. In radiocommunications, use is also made of the Nyquist filter whose Fourier transform h0 (f)=TTB(f-BI2) approximates to a gate of band B (the roll-off defines the slope of the filter outside of the band B, when the roll-off is zero then h0(f)=nB(f-B/2)). The modulated signal s0(0 may be written at the instant tk=kTe (Te: sampling period) as a function of the symbol comb c(f) in the following manner: (Equation Removed) (1) We take for example a symbol time equal to an integer number of times the sampling period, in other words, we put T=ITe and -therefore, k=ml+j with 0 1 antennas (MO) which receives a mixture of several linear modulation transmitters with signal si(t) (MI) and symbol time Ti. More particularly, the signals st(t) of each of the transmitters are linear modulations with Ii, samples per symbol, of waveform ht(t) and carrier frequency fi such that: (Formula Removed) (4). where hFi(kTe)=hi(kTe} exp(j2πfikTe) and bk,i=ak,i exp(j2πfikiTe) where the {ak,i} are the symbols transmitted by the ith transmitter and Li is the half-length of the transmission filter of the ith transmitter. Figure 4 shows that the signal st(t) of the ith transmitter passes through a propagation channel before being received on an array composed of N antennas. The propagation channel can be modeled by P, multi-paths of incidence 0Pi, delay ipi and amplitude ppi (1 < p < Pi). At the output of the sensors, the M signals st(t) are received on the sensors and the vector x(t) is the sum of a linear mixture of the P, multi-paths of each of the M transmitters. This vector of dimension Nx1 has the following expression: (Equation Removed) (5). where ppi is the amplitude of the Pth path of the ith transmitter, si(t) is the signal of the /"" transmitter, b(t) is the noise vector assumed Gaussian, a(0) is the response of the sensor array to a source of incidence 0, A, =[ a(01i,)... a(0pi)], Ωi=diag([p1i, ...Ppi,i]) and si(t)=[si(t-τ1i)...si(t-τpi,i)]T. Noting that τpi = rpi I, Te+pi where (0<pi< /, Te) and using expression (4) in equation (5), we obtain: (Equation Removed) (6) By making the following change of variable upi = n + rpi, we obtain: (Equation Removed) (7). Now, putting rmin,i = min{rpi} and rmaXti = max{rpi}, the previous equation can be written in the following manner: (Equation Removed) (8). Where Ind[r,g](w) is the customary indicator function defined on the set of integers relating to value in the binary set {0, 1), characterized by Ind[r,g](u) = 1 if u belongs to the interval [r,q] and Ind[r,q](u) = 0 otherwise. Therefore, denoting byv'(t) the channel vector of the ith transmitter: (Equation Removed) (9). where t= u Ii Te+jTe and expression (6) becomes: (Equation Removed) (10) Denoting by / the greatest common multiple of the integers 7, (12Li, a condition obtained as soon as | τki- - τli, | > (2Li+ 1)71. To summarize, the quantity Lci generally satisfies the following bracketing: (Equation Removed) (12) . Expression (10) can then be rewritten in the following manner, where now only the LC,i symbols bm-u,j of interest appear: (Equation Removed) (13). Where V 1 assumption HO And VKL(T)> => assumption H1 The threshold r| is determined in [2] with respect to a chi-2 law with 2 degrees of freedom. One first of all seeks the outputs associated with the 1st output by conducting the test for 2<1 for |t| , the maximum of |ci,j(t) is at t=tmax for the kth and Ith trains satisfying : bmk-bmax ,I. The algorithm for associating the outputs bmn (l and flagj=0 then flagj=1, ↨Φi={ Φi (bm,j, hz , j )} and tab,={abij } Step n°A.5: j=j+1 Step n°A.6: If j< K then return to Step n°A.3. Step n°A.7: i=i+1 Step n°A.8: If i< K then return to Step n°A.2. Step n°A.9: Determination of the M sets Φi where flagj =0: the sets Φi (1 TI ( close to 0) then the ith output of H(k,') is associated with the jth output of H(k,). If) Jy(',) -1 |< then jump to step B-8, Step B-5: Determination of the phase difference φ between pathways "i" and "j" which is the phase of: (Equation Removed) of H(k,A) Step B-6: Construction of the symbol vectors bn where they components satisfy: Step B-7: Filling in of the channel matrix Hkwhere fh columns satisfy: Hk (j)= hj(k,⌂) and bmJk+⌂'C(j)=exp(jφ) bm,⌂',k(i), Step B-8: j=j+1 and return to step B-4 ifj

Documents

Application Documents

# Name Date
1 437-delnp-2008-PCT-Documents-(04-03-2008).pdf 2008-03-04
1 437-DELNP-2008_EXAMREPORT.pdf 2016-06-30
2 437-delnp-2008-Correspondence-others-(04-03-2008).pdf 2008-03-04
2 437-delnp-2008-First Examination Report-(02-05-2016).pdf 2016-05-02
3 Correspondence [10-03-2016(online)].pdf 2016-03-10
3 437-delnp-2008-GPA-(13-05-2008).pdf 2008-05-13
4 Description(Complete) [10-03-2016(online)].pdf 2016-03-10
4 437-delnp-2008-Correspondence-others-(13-05-2008).pdf 2008-05-13
5 Examination Report Reply Recieved [10-03-2016(online)].pdf 2016-03-10
5 437-delnp-2008-Form-18-(04-06-2009).pdf 2009-06-04
6 437-delnp-2008-Correspondence-others-(04-06-2009).pdf 2009-06-04
6 437-delnp-2008-Correspondence Others-(23-12-2015).pdf 2015-12-23
7 abstract.jpg 2011-08-21
7 437-delnp-2008-Form-1-(23-12-2015).pdf 2015-12-23
8 437-delnp-2008-pct-210.pdf 2011-08-21
8 437-delnp-2008-GPA-(23-12-2015).pdf 2015-12-23
9 437-delnp-2008-form-5.pdf 2011-08-21
9 Petition Under Rule 137 [23-12-2015(online)].pdf 2015-12-23
10 437-delnp-2008-form-3.pdf 2011-08-21
10 Petition Under Rule 137 [09-12-2015(online)].pdf 2015-12-09
11 437-delnp-2008-Correspondence Others-(07-12-2015).pdf 2015-12-07
11 437-delnp-2008-form-2.pdf 2011-08-21
12 437-delnp-2008-form-1.pdf 2011-08-21
12 437-delnp-2008-Form-3-(07-12-2015).pdf 2015-12-07
13 437-delnp-2008-abstract.pdf 2011-08-21
13 437-delnp-2008-drawings.pdf 2011-08-21
14 437-delnp-2008-claims.pdf 2011-08-21
14 437-delnp-2008-description (complete).pdf 2011-08-21
15 437-delnp-2008-correspondence-others.pdf 2011-08-21
16 437-delnp-2008-claims.pdf 2011-08-21
16 437-delnp-2008-description (complete).pdf 2011-08-21
17 437-delnp-2008-drawings.pdf 2011-08-21
17 437-delnp-2008-abstract.pdf 2011-08-21
18 437-delnp-2008-Form-3-(07-12-2015).pdf 2015-12-07
18 437-delnp-2008-form-1.pdf 2011-08-21
19 437-delnp-2008-Correspondence Others-(07-12-2015).pdf 2015-12-07
19 437-delnp-2008-form-2.pdf 2011-08-21
20 437-delnp-2008-form-3.pdf 2011-08-21
20 Petition Under Rule 137 [09-12-2015(online)].pdf 2015-12-09
21 437-delnp-2008-form-5.pdf 2011-08-21
21 Petition Under Rule 137 [23-12-2015(online)].pdf 2015-12-23
22 437-delnp-2008-GPA-(23-12-2015).pdf 2015-12-23
22 437-delnp-2008-pct-210.pdf 2011-08-21
23 437-delnp-2008-Form-1-(23-12-2015).pdf 2015-12-23
23 abstract.jpg 2011-08-21
24 437-delnp-2008-Correspondence Others-(23-12-2015).pdf 2015-12-23
24 437-delnp-2008-Correspondence-others-(04-06-2009).pdf 2009-06-04
25 Examination Report Reply Recieved [10-03-2016(online)].pdf 2016-03-10
25 437-delnp-2008-Form-18-(04-06-2009).pdf 2009-06-04
26 Description(Complete) [10-03-2016(online)].pdf 2016-03-10
26 437-delnp-2008-Correspondence-others-(13-05-2008).pdf 2008-05-13
27 Correspondence [10-03-2016(online)].pdf 2016-03-10
27 437-delnp-2008-GPA-(13-05-2008).pdf 2008-05-13
28 437-delnp-2008-First Examination Report-(02-05-2016).pdf 2016-05-02
28 437-delnp-2008-Correspondence-others-(04-03-2008).pdf 2008-03-04
29 437-DELNP-2008_EXAMREPORT.pdf 2016-06-30
29 437-delnp-2008-PCT-Documents-(04-03-2008).pdf 2008-03-04