Multibeam FMCW radar, in particular for automobile
10620305 · 2020-04-14
Assignee
Inventors
Cpc classification
H01Q1/3233
ELECTRICITY
G01S13/34
PHYSICS
International classification
G01S13/34
PHYSICS
Abstract
A radar comprises at least one array antenna composed of transmit sub-arrays and of receive sub-arrays, a transmit and receive system and processing means: the distribution of the transmit sub-arrays and receive sub-arrays is symmetric both with respect to a vertical axis and a horizontal axis; at least two transmit sub-arrays symmetric with respect to the vertical axis are the largest possible distance apart; at least two transmit sub-arrays symmetric with respect to the horizontal axis are the largest possible distance apart; at least two receive sub-arrays symmetric with respect to the vertical axis are the largest possible distance apart; at least two receive sub-arrays symmetric with respect to the horizontal axis are the largest possible distance apart; a first coding of the wave transmitted by the transmit sub-arrays carried out by frequency shifting of the ramps between the various transmit sub-arrays; a second coding of the wave transmitted by the transmit sub-arrays carried out by phase modulation from frequency ramp to frequency ramp between the various transmit sub-arrays.
Claims
1. A frequency-ramp-based frequency-modulation continuous-wave radar, termed FMCW, comprising at least one array antenna composed of transmit sub-arrays and of receive sub-arrays, a transmit and receive system and processing means, wherein: the distribution of the transmit sub-arrays and of the receive sub-arrays is symmetric both with respect to a vertical axis and with respect to a horizontal axis; at least two transmit sub-arrays symmetric with respect to the vertical axis are the largest possible distance apart; at least two transmit sub-arrays symmetric with respect to the horizontal axis are the largest possible distance apart; at least two receive sub-arrays symmetric with respect to the vertical axis are the largest possible distance apart; at least two receive sub-arrays symmetric with respect to the horizontal axis are the largest possible distance apart; a first coding of the wave transmitted by the transmit sub-arrays being carried out by frequency shifting of ramps between various transmit sub-arrays; and a second coding of the wave transmitted by the transmit sub-arrays being carried out by phase modulation from frequency ramp to frequency ramp between the various transmit sub-arrays.
2. The radar according to claim 1, wherein in the first coding, a first half of the transmit sub-arrays is fed by a first FMCW waveform and the second half is fed by the same waveform shifted in frequency, the two halves being symmetric with respect to the vertical axis.
3. The radar according to claim 1, wherein in the first coding, a first left half of the transmit sub-arrays is fed by a first FMCW waveform and the second left half is fed by the same waveform shifted in frequency, the two halves being symmetric with respect to the intersection of the vertical axis and of the horizontal axis.
4. The radar according to claim 1, wherein, in the second coding, the waves feeding the various transmit sub-arrays belonging to one and the same row, along the horizontal axis, are coded by the same phase code.
5. The radar according to claim 1, wherein, in the first coding, a first half of the transmit sub-arrays is fed by a first FMCW waveform and the second half is fed by the same waveform shifted in frequency, the two halves being symmetric with respect to the horizontal axis.
6. The radar according to claim 1, wherein, in the second coding, the waves feeding the various transmit sub-arrays belonging to one and the same column, along the vertical axis, are coded by the same phase code.
7. The radar according to claim 1, wherein the transmit and receive system comprises a first waveform generator generating a first FMCW waveform and a second waveform generator, synchronous and coherent with the first, generating the other FMCW waveform shifted in frequency.
8. The radar according to claim 7, wherein each of the waveform generators is used both for transmission and for synchronous demodulation of the signals in reception.
9. The radar according to claim 8, wherein the frequency discrepancy between the waveform generators is chosen so that the beat frequencies of the signals in reception demodulated by one and the same waveform generator occupy disjoint frequency bands depending on whether the signals in reception originate from a transmission arising from the same generator or from the other generator.
10. The radar according to claim 1, wherein the signals in reception resulting from the various transmit sub-arrays are separated by filtering and by correlation in reception, respectively according to their frequency band and according to their phase modulation code.
11. The radar according to claim 1, wherein a first two-plane monopulse beamforming comprising a sum channel and two receive channels is performed in transmission by the processing means, on each receive channel associated with a receive sub-array, by using the signals originating from all or some of the transmit sub-arrays.
12. The radar according to claim 11, wherein a second two-plane monopulse beamforming comprising a sum channel and two difference channels is performed in reception by the processing means, by associating all or some of the signals received on all or some of the receive channels.
13. The radar according to claim 11, wherein the detection and the angular location of targets are performed on the basis of the signals resulting from the product of the transmit monopulse beams and of the receive monopulse beams.
14. The radar according to claim 1, wherein the phase modulation code applied is a two-phase code having the value 0 or .
15. The radar according to claim 1, wherein the phase modulation code applied is a Hadamard code.
16. The radar according to claim 1, wherein the antenna comprises six transmit sub-arrays and eight receive sub-arrays, the transmit and receive system comprising two integrated circuits each comprising a generator of the waveform, three transmit channels and four receive channels, the three transmit sub-arrays disposed on one side of one of the axes being fed by the transmit channels of one and the same integrated circuit, the other three sub-arrays being fed by the transmit channels of the other integrated circuit.
17. The radar according to claim 1, wherein it operates in millimetric waves.
18. The radar according to claim 1, wherein it is able to equip an automotive vehicle.
19. The radar according to claim 1, wherein a plurality of sets of the transmit sub-arrays interleave a plurality of sets of the receive sub-arrays such that the sets of the transmit sub-arrays, each of which comprising one or more transmit sub-arrays, alternate with the sets of the receive sub-arrays, each of which comprising one or more receive sub-arrays, and wherein the alternating is in both a first direction along the vertical axis and a second direction along the horizontal axis.
20. The radar according to claim 19, wherein each of the sets of the transmit sub-arrays is adjacent to at least one of the sets of the receive sub-arrays.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) Other characteristics and advantages of the invention will become apparent with the aid of the description which follows, offered in relation to appended drawings which represent:
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DETAILED DESCRIPTION
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(19) In a radar according to the invention, adjacent antennal sub-arrays operating exclusively in transmission 11 or in reception 11 are disposed over the whole of the surface area of the antenna 1 available, so as to carry out a two-plane monopulse beamforming in transmission and in reception by dividing the antenna into four quadrants 1, 2, 3, 4 on transmission and on reception, the monopulse beamforming in transmission being obtained through a dual-coding, respectively in frequency 101, 102 and in phase 103, 104, according to the four quadrants of the antenna.
(20) The invention advantageously solves the problem posed by improving the resolution and the precision of angular location of the antenna for a given antennal surface area by virtue of the multiplication of the sum and difference patterns produced at one and the same time in transmission and in reception. The sidelobes and the ambiguous lobes are limited on account of the adjacency of the sub-arrays and of their uniform distribution.
(21) The range budget is optimized through the radiating surface area of the antenna which is a maximum, and through the fact that transmission and reception are separated, thereby reducing the coupling, therefore the noise in reception.
(22) The beamforming carried out in transmission is limited to four beams obtained by summation and by differencing, this not requiring significant computational resources.
(23) The angular estimations obtained in azimuth and in elevation are obtained in independent ways and these estimations are mutually decorrelated.
(24) The composite antenna patterns are symmetric in azimuth and in elevation, thereby guaranteeing homogeneous location and detection quality in the angular observation domain.
(25) It is possible to form wide-field or narrow-field patterns simultaneously, so as to ensure for example short-range and long-range detection.
(26) It is possible to adjust the level of the sidelobes by tailoring the amplitude of the signals on transmission or on reception on the various sub-arrays.
(27) There is no switching device in the antenna, this being favourable to the range budget. The processing is simple and easy to implement.
(28)
(29) Disperse the set of sub-arrays TX, RX over the surface of the antenna according to several horizontal rows and several vertical columns so as to obtain a symmetric distribution of these sub-arrays TX, RX along the vertical axis 5 and the horizontal axis 6, these two axes passing through the geometric centre of the antenna. Stated otherwise, each transmit sub-array 11 has a symmetric transmit sub-array 11 with respect to the vertical axis and a transmit sub-array 11 which is symmetric with respect to the horizontal axis. Likewise, each receive sub-array 12 has a receive sub-array 12 which is symmetric with respect to the vertical axis and a receive sub-array 12 which is symmetric with respect to the horizontal axis;
(30) Distribute the transmit sub-arrays TX over the various rows and over the various columns so that at least two sub-arrays 11, 11 which are symmetric with respect to the vertical axis are the largest possible horizontal distance apart and that at least two other sub-arrays 11, 11 which are symmetric with respect to the horizontal axis are the largest possible horizontal distance apart between sub-arrays, having regard to the limits imposed by the available surface area of the antenna;
(31) Distribute the receive sub-arrays RX over the various rows and over the various columns so that at least two sub-arrays 14, 14 which are symmetric with respect to the vertical axis are the largest possible horizontal distance apart and that at least two other sub-arrays 12, 12 which are symmetric with respect to the horizontal axis are the largest possible vertical distance apart between sub-arrays, having regard to the limits imposed by the available surface area of the antenna.
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(34) Other configurations are of course possible, for example with a different number P of transmit antennal sub-arrays from the number Q of receive antenna sub-arrays, according in particular to the technological constraints imposed by the internal architectures of the integrated components used in transmission and in reception. The contour 9 of the antenna may also not be rectangular as will be shown hereinafter by other exemplary embodiments.
(35) In cooperation with a type of antenna such as illustrated by
(36) Carries out on the basis of a common oscillator reference a dual-coding of the radar transmission, by rows and by columns of transmit sub-arrays according to two different types of coding, respectively by frequency modulation (according to the columns 101, 102 of the quadrants for example) and by phase modulation (according to the rows 103, 104 of the quadrants for example), in such a way as to carry out transmissions that are orthogonal at one and the same time between the various rows or grouping of rows of sub-arrays and between the various columns or grouping of columns of sub-arrays;
(37) Forms a sum channel and a difference channel on transmission according to the angle of azimuth by carrying out on transmission a grouping of some of the sub-arrays of the left half 7 of the antenna and in a symmetric manner an identical grouping of sub-arrays of the right part 8 of the antenna;
(38) Forms a sum channel and a difference channel on transmission according to the angle of elevation by carrying out on transmission a grouping of some of the sub-arrays of the upper half 17 of the antenna and in a symmetric manner an identical grouping of some of the sub-arrays of the lower half 18 of the antenna;
(39) Forms a sum channel and a difference channel in reception according to the angle of azimuth by using the signals received of a first grouping of receive sub-arrays on the left half 7 and of a second identical and symmetric grouping on the right half 8 of the antenna;
(40) Forms a sum channel and a difference channel in reception along the elevation axis by using the signals received of a first grouping of receive sub-arrays on the upper half 17 and of a second identical and symmetric grouping on the lower half 18 of the antenna;
(41) Forms the transmission reception composite radiation beams corresponding to the sum and differences channels, separately according to the angles of azimuth and of elevation;
(42) Detects and estimates by deviometry the position of the targets on the basis of the sum and differences channels thus formed.
(43) These processing phases are described in greater detail hereinafter with the aid of exemplary embodiments of an antenna of a radar according to the invention.
(44) Before presenting these exemplary embodiments, we return to the principle of construction of such an antenna.
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(46) A first construction step consists in optimizing the number and the distribution of the transmission and receive antennal sub-arrays on the surface of the antenna, which surface is of limited area.
(47) Accordingly, we consider a planar array antenna whose contour is inscribed in a perimeter of determined dimensions. In the example of
(48) In a conventional manner, the maximum dimensions of the transmission and receive antennal sub-arrays constituting this antenna are determined, i.e. a vertical maximum height h of the order of /.sub.el and a horizontal maximum width l=/.sub.az.
(49) It is chosen to dimension the antennal sub-arrays according to their maximum dimension so as to exactly cover the desired angular domain, in order to restrict the number of transmit channels and of receive channels of the radar.
(50) This leads to a horizontal dimension l=/.sub.el and to a vertical dimension h=/.sub.el. It is chosen moreover to use the maximum of radiation surface area in the dimensions allowed for the antenna, so as to optimize both the angular resolution and the range budget of the radar.
(51) In this case, an advantageous solution is for P rows of sub-arrays to be superposed along the vertical axis and for Q columns of sub-arrays to be aligned according to the horizontal plane, where P is the integer value of (H/h) and Q is the integer value of (L/l).
(52) Typically, for an automobile radar operating at a frequency of 76 GHz, the wavelength is 3.9 mm, the angular aperture sought is for example of the order of 0.15 rd in elevation and 0.25 rd in azimuth. The sub-arrays are embodied in printed circuit technology of patch type, and the height of a sub-array is for example in this case of the order of 2.5 cm and its width of the order of 1.5 cm.
(53) Moreover the maximum dimensions of the antenna are themselves imposed, typically less than 8 cm in height and in width.
(54) Thus, according to these values, it is theoretically possible to implant 15 sub-arrays 2.5 cm in height and 1.5 cm in width according to three rows and five columns in accordance with
(55) It is thereafter necessary to choose the number of sub-arrays TX assigned to transmission and the number of sub-arrays RX assigned to reception. The maximum number of antennal sub-arrays being determined, a first requirement is imposed, namely that the distribution of the transmit sub-arrays and of the receive sub-arrays be symmetric both with respect to a horizontal axis 6 situated at mid-height of the antenna, and with respect to a vertical axis 5 situated at mid-width of the antenna.
(56) A second requirement is imposed, namely that at least two transmit sub-arrays 41, 41 and two receive sub-arrays 43, 43 which are symmetric with respect to the vertical axis of symmetry be disposed in such a way that the phase centres of each of these two sub-arrays are the largest possible horizontal distance apart having regard to the available implantation width.
(57) A third requirement is imposed, namely that at least two transmit sub-arrays 42, 42 and two receive sub-arrays 43, 43 which are symmetric with respect to the horizontal axis of symmetry be disposed in such a way that the phase centres of each of these two sub-arrays are the largest possible vertical distance apart having regard to the available implantation width.
(58) A fourth requirement is imposed, namely the most uniform possible distribution of the transmit sub-arrays and of the receive sub-arrays on the antenna, the transmit sub-arrays TX and receive sub-arrays RX being adjacent, and finally alternated.
(59) The requirement to minimize the number of transmit channels is also imposed, so as to simplify the physical architecture, reduce consumption and the risks of transmit receive coupling.
(60) In this case, according to the above example of an antenna comprising three rows and five columns of sub-arrays, one arrives for example at the exemplary configuration of
(61) In the case of an antenna comprising an odd number of rows and/or of columns, the symmetry of construction imposes the requirement that the axes of symmetry 5, 6 pass through the sub-arrays of the middle row and/or column, these themselves being symmetric with respect to the axis 5, 6.
(62) In the example of
(63) However, as far as automobile radars are concerned, the choice of the number of transmit sub-arrays TX and of the number of receive sub-arrays RX may be constrained by the architecture of the transmission and reception microwave-frequency integrated circuits associated with these sub-arrays. The exemplary embodiments presented hereinafter will be suitable for imposed architectures of microwave-frequency integrated circuits.
(64)
(65) For transmission, this circuit comprises: A voltage controlled oscillator 50, also called VCO functioning as FMCW waveform generator, able to feed several transmit channels; A transmitter 51, composed of several transmit channels 511, 512, 51i each comprising at least one power amplifier and a phase modulator with two states (0, ), each of these channels feeding a transmit antennal sub-array TX.sub.1, TX.sub.2, TX.sub.i.
(66) For reception, it comprises:
(67) The same VCO 50 to perform the demodulation of the signals received on the receive channels; A receiver 52, composed of several receive channels 521, 522, 52i comprising at least one low noise amplifier, a synchronous demodulation function and a filter, each of these channels receiving a signal of a receive antennal sub-array RX.sub.1, RX.sub.2, RX.sub.i.
(68) The receive channels carry out for example the direct demodulation of the various signals received by the signal arising from the VCO. The digital conversion of the signals received can also be integrated into the same component as the reception function.
(69) The functions of VCO, of transmission TXi and of reception RXj can be integrated on different chips or on one and the same chip.
(70) Several levels of integration of transmission and reception circuits are possible. The architecture of the antenna can then advantageously be adapted to suit one or the other of these integration levels.
(71)
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(73) To establish the configuration, a receive sub-array RX is deleted with respect to the configuration of
(74) The configuration of
(75) This solution will be considered, by way of example, as reference solution hereinafter.
(76)
(77) According to the invention, this first coding of the transmitted wave is carried out by generating series of ramps of identical frequencies 81, 82 but shifted in frequency. Each of these ramps is generated by a VCO.
(78) The coding can be carried out in a preferential manner by generating a first transmission waveform 81 producing in a periodic manner a first frequency ramp with the aid of a first VCO, denoted VCO.sub.A, and a second identical waveform 82 synchronous with the first but frequency shifted by a discrepancy f, with the aid of a second VCO, denoted VCO.sub.B, the two VCOs being driven by one and the same reference clock. These frequency ramps are coherent and mutually orthogonal.
(79) Such a coding is known. It is in particular described for example in the article by Matthias Steinhauer Millimeter-Wave-Radar Sensor Based on a Tranceiver Array for Automotive Applications, IEEE Transactions on Microwave Theory and Techniques (Volume 56, pages 262-269, February 2008).
(80) We now refer to
(81) Thus, according to the invention, the waveform arising from the VCO.sub.A feeds the transmit channels TX of a first half 91 and is also used as demodulation reference for the receive channels RX of this first half 91.
(82) Likewise the waveform arising from the VCO.sub.B feeds the transmit channels TX of the other half 92 and is also used as demodulation reference for the receive channels RX of this other half 92.
(83) For example, the VCO.sub.A feeds the left part of the antenna and the VCO.sub.B the right part in a symmetric manner.
(84) By numbering the various antennal arrays TX and RX according to
(85)
(86) This coding is performed from ramp to ramp, with the aid of a two-phase modulation, comprising two possible phase states, 0 and . The various codes are mutually orthogonal. In a preferential manner, the various transmit channels of one and the same row are modulated by the same code.
(87) In a preferential manner the codes chosen are Hadamard codes. These codes comprise M=2.sup.p moments and are perfectly mutually orthogonal on a burst of M successive ramps. Other orthogonal codes are of course possible.
(88)
(89) Referring to
(90)
(91) In reception, each channel comprises at input a mixer 114 receiving on a first input the signal received arising from the associated sub-array, optionally amplified by a first amplifier 113. The second input of the mixer receives the ramp signal 81 provided by the VCO. The signal received is thus demodulated and amplified at the output of the mixer by a low noise amplifier 115. A filtering 116 and an analogue-digital conversion follow this amplifier, the receive channel delivering as output a digitized signal able to be processed by the radar processing means.
(92) In a symmetric manner, one and the same circuit is coupled to the right part 92 of the antenna, with a VCO delivering the shifted frequency ramp 82.
(93) In the processing at the output of the reception chain, on the basis of these signals received and digitized, the frequency separation and distance compression of the signals arising from the transmission produced by the two VCOs is carried out.
(94) In an FMCW radar, it is known to the person skilled in the art to limit the output passband of the receiver with the aid of a low-pass filter whose cutoff frequency is tailored to the maximum instrumented range, so as to process only the useful signals.
(95) Thus for a modulation band F and a ramp duration T, an echo corresponding to a target situated at the maximum instrumented distance D.sub.max of the radar, the maximum beat frequency f.sub.bmax is (excluding doppler which introduces a negligible discrepancy):
(96)
where C is the velocity of light.
(97) In the usual case where the transmission signal is used to demodulate the reception signal, the frequency spectrum resulting from the synchronous demodulation thus extends from 0 to +f.sub.bmax
(98) The cutoff frequency of the low-pass filter is thus chosen equal to f.sub.bmax.
(99) According to the particular architecture illustrated by
(100) For the receivers whose demodulation signal is generated by VCO.sub.A, the reception frequency band after demodulation thus extends from 0 to f.sub.bmax for the signals transmitted on the basis of VCO.sub.A and extends from f to f+f.sub.bmax for the signals transmitted on the basis of VCO.sub.B.
(101) Thus, by choosing a frequency discrepancy f between the two VCOs which is greater than the beat frequency f.sub.bmax, the frequency spectra of the reception signals demodulated by one of the VCOs and originating from the transmissions on the basis of the two VCOs occupy disjoint bands and can be separated by filtering, this is illustrated by
(102)
(103) Symmetrically with respect to the axis f=0, the domains 121 and 122 represent respectively the spectral domain of the echoes resulting from the transmission arising from VCO.sub.A after demodulation by VCO.sub.B and the spectral domain of the echoes resulting from the transmission arising from VCO.sub.B after demodulation by VCO.sub.B.
(104) Thus by carrying out a bandpass filtering in reception comprising two distinct sub-bands, as is illustrated by
(105) Assuming the phase at the origin of the frequency ramps of VCO.sub.A to be equal to zero, the signal s.sub.i,j(t) received at the instant t on the receiver of index j associated with sub-array RX.sub.i, after demodulation by VCO.sub.A and in relation to a transmission carried out on the basis of VCO.sub.A feeding the transmitter of index i associated with TX.sub.i, may be written:
(106)
where the exponent of the first term of the product is the phase term which is dependent on the distance and the angle of the target with respect to TXi and to RXj, and the exponent of the second term is the frequency f.sub.b, distance/Doppler ambiguous distance frequency. with A: amplitude of the received signal F: band of modulation of the FMCW ramp F: VCO.sub.A ramp start frequency D.sub.i(t): distance between the phase centre of the transmit sub-array TX.sub.i and the target at the instant t D.sub.j(t): distance between the phase centre of the receive sub-array RX.sub.j and the target at the instant t vr: speed of movement of the target t: time, with
(107)
(108)
(109) The second term of equation (2) can be simplified by taking account of the fact that D.sub.i(t) is substantially equal D.sub.j(t) and by putting:
(110)
(111) On the scale of a frequency ramp 81, 82, the distance of the target can be considered to be constant, and D(t)=D. In this case:
(112)
(113) Likewise, assuming the phase at the origin of the frequency ramps of VCO.sub.B to be equal to zero, the signal s.sub.k,j(t) received on the receiver of index j associated with RX.sub.j, after demodulation by VCO.sub.A in relation to a transmission carried out on the basis of VCO.sub.B at the frequency F+f feeding the transmitter of index k associated with TX.sub.k, may be written:
(114)
where: D.sub.k is the distance between the phase centre of the transmit sub-array TX.sub.k and the target; 0.sub.k(mTr) is the phase at the origin of the frequency ramp transmitted by the transmitter TX.sub.k at recurrence Tr of rank m, according to the phase code applied to TX.sub.k.
(115) For the receivers whose demodulation signal is generated by VCO.sub.A, the reception frequency band after demodulation thus extends from 0 to f.sub.bmax for the signals transmitted on the basis of VCO.sub.A and extends from f to f+f.sub.bmax for the signals transmitted on the basis of VCO.sub.B. (neglecting the doppler frequency which is very small compared with the transmission frequency discrepancy f).
(116) It is then possible to separate on reception the signals originating from the two VCOs, by a bandpass filtering, performed in a preferential manner digitally, typically by a Fourrier transform (FFT or DFT).
(117) The demodulation followed by the Fourrier transform corresponds in a conventional manner to the compression of the signal in distance, according to a resolution
(118)
(119) On output from the filtering, the signal is decomposed into N distance filters (or distance bins) in accordance with
(120) This decomposition is performed in an identical manner for the signals transmitted by VCO.sub.A and demodulated by this same VCO.sub.A and for the signals transmitted by VCO.sub.B and demodulated by VCO.sub.A.
(121)
(122) Thus, in the first bank 131 of N filters corresponding to the transmission TX.sub.i arising from VCO.sub.A, for the receiver RX.sub.j, the phase of the signal on output from a distance filter 31 of rank n at the recurrence m is equal, in accordance with relation (6), to:
(123)
(124) In the second bank 132 of N filters corresponding to the transmission TX.sub.k arising from VCO.sub.A, for the receiver RX.sub.j, the phase of the signal on output from a distance filter 32 of rank n at the recurrence m is equal, in accordance with relation (7), to:
(125)
(126) The signals on output from these filters of rank n at the recurrence of order m can be written in a simplified form respectively:
(127)
(128) After distance separation by the above processing, corresponding to short time, performed on each frequency ramp, the radar processing means carry out for example in a conventional manner a coherent integration processing on the doppler axis, aimed at optimizing the signal-to-noise ratio and at separating the targets as a function of their speed, by digital Fourrier transform (FFT or DFT).
(129) This processing is preceded by a phase correlation aimed at separating the received signals corresponding to the various transmission rows TX of the antenna.
(130) This processing is performed on a set of M successive frequency ramps, for each distance filter or optionally on a limited number of distance filters corresponding to the desired detection domain.
(131) In expressions (10) and (11) hereinabove, the distance terms D.sub.i(t), D.sub.j(t) and D.sub.k (t) are dependent at one and the same time on the initial distance, on the radial speed and on the angular location of the targets in the course of the Doppler burst.
(132) Thus, for a given target, by taking the physical centre of the array antenna as origin O and by denoting: dx.sub.i: height of the phase centre of the antennal sub-array RX.sub.i with respect to O dy.sub.i: horizontal distance of the phase centre of the antennal sub-array RX.sub.i with respect to O dx.sub.k: height of the phase centre of the antennal sub-array T.sub.k with respect to O dy.sub.k: horizontal distance of the phase centre of the antennal sub-array TX.sub.k with respect to O dx.sub.k: height of the phase centre of the antennal sub-array T.sub.k with respect to O dy.sub.k: horizontal distance of the phase centre of the antennal sub-array TX.sub.k with respect to O .sub.az: angle of azimuth of the target considered .sub.el: angle of elevation of the target considered D.sub.0: Distance between the antenna and the target at the temporal origin of a doppler burst consisting of M successive ramps
(133) We can write:
D.sub.k(t)=D.sub.0+V.sub.rt+(dx.sub.k sin(.sub.el)+dy.sub.k sin(.sub.az))
D.sub.j(t)=D.sub.0+V.sub.rt+(dx.sub.j sin(.sub.el)+dy.sub.j sin(.sub.az))
D.sub.i(t)=D.sub.0+V.sub.rt+(dx.sub.i sin(.sub.el)+dy.sub.i sin(.sub.az))
(134) The signals U.sub.i,j(n, m) on output from the distance filtering can thus be written according to the following relation (12):
(135)
(136) where the exponents represent successively: A phase term dependent on the distance; A phase term dependent on the speed of the target; A phase term dependent on the angular location; A phase term dependent on the phase at the origin of the frequency ramp m for the transmit channel associated with the sub-array TXi, according to the phase code applied.
and:
(137)
(138) The phase correlation operations and the Doppler compression are performed in a single operation by carrying out a Fourrier transform on the signal output by the distance filter modulated by the conjugate of the phase code applied to the TXi considered:
(139)
(140) For a target of doppler frequency
(141)
corresponding to me centre of a doppler filter of rank l, the output of the doppler filter corresponding to the receiver RX.sub.j for the signal transmitted by the transmitter TX.sub.i can be written in the simplified form:
(142)
and likewise, the output of the doppler filter corresponding to the receiver RX.sub.j for the signal transmitted by the transmitter TX.sub.k can be written in the simplified form:
(143)
(144) Thus, returning to the configuration of
(145) For example, for the receive channel associated with sub-array RX.sub.1, the responses are the following for the various transmissions:
(146)
(147) The same goes for the signals received on the other receive sub-arrays, thereby making it possible to compute in a general manner for each distance bin of rank n and for each doppler filter of rank l, the responses W.sub.p,q (l, n) for p=1 to 6 (index of the transmit sub-array) and for q=1 to 8 (index of the receive sub-array).
(148) After having separated the received signals by virtue of the two types of codes used, it is by summing and by differencing these responses W.sub.p,q (l, n) that the sum and difference channels are formed subsequently.
(149) The formation of the sum and difference channels is described hereinafter for transmission, and then for reception by the radar.
(150) On the basis of the above processings, the signals received W.sub.p,q(l,n) on each receiver of index q are separated according to their origin transmitter of index p. As previously, the receive channel associated with the receive sub-array RX is named receiver RX. Likewise, the receive channel associated with the transmit sub-array TX is named transmitter TX.
(151) These signals being thus separated, the sum channel and difference channel on transmission are then formed separately and for each receiver of index p:
(152) in azimuth:
eaz.sub.q(n,l)=.sub.p=1.sup.p=6W.sub.p,q(n,l)(18)
eaz.sub.q(n,l)=.sub.p=1.sup.p=3W.sub.p,q(n,l).sub.p=4.sup.p=6W.sub.p,q(n,l)(19)
and in elevation:
eel.sub.q(n,l)=eaz.sub.q(n,l)=.sub.p=1.sup.p=6W.sub.p,q(n,l)(20)
eel.sub.q(n,l)=(W.sub.1,q(n,l)+W.sub.4,q(n,l)(W.sub.3,q(n,l)+W.sub.6,q(n,l)(21)
(153) It is noted in this example that, for the elevation channel, only four transmitters are used in the vertical plane, the transmitters of the central row not being able to contribute to the production of the difference channel in elevation. In particular, relation (19) manifests the fact that the two transmit sub-arrays TX2 and TX5 of the middle row are not used since they cancel one another out and therefore afford no information.
(154) The processing carries out a focusing of the transmission signal on three beams. For a given axis, azimuth or elevation, the sum channel and difference channel antenna patterns thus formed are identical in amplitude for all the receivers and their phase differs according to the position of the various receivers in the antennal array.
(155) The reception beamforming processing is carried out by associating the received signals of each receiver after the transmission beamforming processing such as described previously.
(156) This processing consists in independently producing the sum and difference channels according to the two axes, azimuth and elevation.
(157) In azimuth:
eraz(n,l)=.sub.q=1.sup.q=8eaz.sub.q(n,l)(22)
eraz(n,l)=.sub.q=1.sup.q=3eaz.sub.q(n,l).sub.q=4.sup.q=6eaz.sub.q(n,l)(23)
(158) It is noted in this example that only six receivers are used in the horizontal plane to produce the azimuthal delta channel, the receivers of the central column being unable to contribute to this embodiment.
(159) In elevation:
erel(n,l)=eraz(n,l)=.sub.q=1.sup.q=8eaz.sub.q(n,l)(24)
erel(n,l)=(eel.sub.1(n,l)+eel.sub.4(n,l)+eel.sub.7(n,l))(eel.sub.3(n,l)+eel.sub.8(n,l)+eel.sub.6(n,l))(25)
(160) It is noted in this example that only six receivers are used in the vertical plane to produce the elevational delta channel, the receivers of the central row being unable to contribute to this embodiment.
(161) This processing carries out a focusing in reception. The final result corresponds to the multiplication of the transmission/reception patterns.
(162)
(163) These patterns are obtained without amplitude weighting of the sub-arrays. According to need, the level of the sidelobes can further be reduced by applying such a weighting.
(164) In a conventional manner the computed signals on output from the sum channel are used for the detection of the targets. The location of the targets is obtained by monopulse deviometry, on the basis of the sum and difference channels, for example by forming to within a scale factor:
(165)
(166)
(167) The invention advantageously makes it possible to improve the resolution and the precision of angular location of the antenna for a given antennal surface area by virtue of the multiplication of the sum and difference patterns that are produced at one and the same time in transmission and in reception. The invention also comprises the advantages mentioned hereinafter.
(168) The sidelobes and the ambiguous lobes are limited on account of the adjacency of the sub-arrays and of their uniform distribution.
(169) The range budget is optimized by the radiating surface area of the antenna which is a maximum, and by the fact that transmission and reception are separated, thereby reducing the coupling, therefore the noise in reception.
(170) The beamforming carried out in transmission is limited to four beams obtained by summation and by differencing, this not requiring significant computational resources.
(171) The angular estimations obtained in azimuth and in elevation are obtained in independent ways and these estimations are mutually decorrelated.
(172) The composite antenna patterns are symmetric in azimuth and in elevation, thereby guaranteeing homogeneous location and detection quality in the angular observation domain.
(173) It is possible to form wide-field or narrow-field patterns simultaneously, so as to ensure for example short-range and long-range detection.
(174) It is possible to adjust the level of the sidelobes by tailoring the amplitude of the signals on transmission or on reception on the various sub-arrays.
(175) There is no switching device in the antenna, this being favourable to the range budget.
(176) Finally, the processing is simple and easy to implement.
(177) The invention has been presented for codings of the wave transmitted, in frequencies and in phases, carried out according to rows or columns, according to left and right parts, it is of course possible to carry out these codings according to other subsets of transmission and receive sub-arrays provided that the latter make it possible to discriminate antenna parts.