TRACKING A TARGET USING DOPPLER SHIFT
For tracking a target, a method receives a first target signal reflected by a target for a first transmitter/receiver pair. The method receives a second target signal reflected by the target for a second transmitter/receiver pair or transmitter signal characteristics for a transmitter of the first transmitter/receiver pair. The method determines Doppler frequencies based on the first target signal and the second target signal or the transmitter signal characteristics. The method determines a target position and a target velocity vector for the target based on the Doppler frequencies.
1 . A method comprising:
receiving, by use of a processor, a first target signal ( 107 a ) reflected by a target ( 105 ) for a first transmitter/receiver pair ( 210 a );
receiving a second target signal ( 107 b ) reflected by the target ( 105 ) for a second transmitter/receiver pair ( 210 b ) or transmitter signal characteristics ( 211 ) for a transmitter ( 110 ) of the first transmitter/receiver pair ( 210 a );
determining Doppler frequencies ( 201 ) based on the first target signal ( 107 a ) and the second target signal ( 107 b ) or the transmitter signal characteristics ( 211 ); and
determining a target position ( 205 ) and a target velocity vector ( 103 ) for the target ( 105 ) based on the Doppler frequencies ( 201 ).
2 . The method of claim 1 , wherein the Doppler frequencies ( 201 ) are determined by:
estimating a carrier offset frequency ( 213 ) for each of the first target signal ( 107 a ) and the second target signal ( 107 b );
removing the carrier offset frequency ( 213 ) for each target signal ( 107 ) to yield a processed signal ( 219 ) comprising a Direct Current (DC) component and the Doppler frequency ( 201 ) for each target signal ( 107 ); and
estimating the Doppler frequency ( 201 ) for each target signal ( 107 ) from the processed signal ( 219 ) using a spectral estimation algorithm ( 215 ).
3 . The method of claim 2 , wherein each carrier offset frequency f e ( 213 ) is estimated using the spectral estimation algorithm ( 215 ) selected from the group consisting of a MUltiple SIgnal Classification (MUSIC) algorithm, a Discrete Fourier Transform (DFT) algorithm, a Viterbi algorithm, a Bahl, Cocke, Jelinek and Raviv (BCJR) algorithm, and a BCJR algorithm in conjunction with the Viterbi algorithm.
4 . The method of claim 1 , wherein the Doppler frequencies ( 201 ) are determined by:
eliminating a carrier offset frequency ( 213 ); and
estimating signs of the Doppler frequencies ( 201 ).
5 . The method of claim 4 , wherein the signs of the Doppler frequencies ( 201 ) are estimated using a sign estimation algorithm ( 217 ) comprising a maximum likelihood algorithm.
6 . The method of claim 1 , wherein a carrier offset frequency ( 213 ) between the transmitter signal ( 111 ) and the target signal ( 107 ) is known and/or removed by a matched filter, a phase locked loop, and/or phase information shared between the transmitter ( 110 ) and the receiver ( 115 ).
7 . The method of claim 1 , wherein the target signals ( 107 ) and/or transmitter signal characteristics ( 211 ) are time series and the Doppler frequencies ( 201 ) are determined by searching complex ambiguity functions based on the for the Doppler frequencies ( 201 ) that maximizes the complex ambiguity functions.
8 . The method of claim 1 , wherein the target position ( 205 ) and the target velocity vector ( 103 ) are determined by minimizing a function of a Doppler frequency time series. [Gradient descent, Newton's method]
9 . The method of claim 1 , wherein the target position ( 205 ) and the target velocity vector ( 103 ) are determined from a probability distribution for a Doppler frequency time series.
10 . The method of claim 1 , wherein for each transmitter/receiver pair ( 210 ), a transmitter velocity vector V T,j ( 109 ) of the transmitter ( 110 ) or a receiver velocity vector V R,k ( 117 ) of the receiver ( 115 ) is not equivalent to the velocity vector ( 103 ) of the target ( 105 ).
11 . The method of claim 1 , wherein a transmitter signal ( 111 ) of each transmitter/receiver pair ( 210 ) is not generated for determining position and/or p velocity of the target ( 105 ).
12 . The method of claim 1 , wherein a transmitter signal ( 111 ) of each transmitter/receiver pair ( 210 ) is selected from the group consisting of a commercial radio signal, a mobile telephone signal, and a wireless network signal.
13 . The method of claim 1 , wherein a transmitter signal ( 111 ) of each transmitter/receiver pair ( 210 ) is a digital communication signal.
14 . The method of claim 1 , wherein a transmitter signal ( 111 ) of each transmitter/receiver pair ( 210 ) is a quadrature amplitude modulated signal.
15 . The method of claim 1 , wherein the transmitter/receiver pair ( 210 ) of a receiver ( 115 ) and a transmitter ( 110 ) forms a triangle with the target ( 105 ) with no angle less than 2 degrees.
16 . The method of claim 1 , wherein a plurality of target signals ( 107 ) reflected by the target ( 105 ) for a plurality of transmitter/receiver pairs ( 210 ) is received and Doppler frequencies ( 201 ) are determined for each of the plurality of target signals ( 107 ).
17 . An apparatus comprising:
a processor;
a memory storing code executable by the processor to perform:
receiving a first target signal ( 107 a ) reflected by a target ( 105 ) for a first transmitter/receiver pair ( 210 a );
receiving a second target signal ( 107 b ) reflected by the target ( 105 ) for a second transmitter/receiver pair ( 210 b ) or transmitter signal characteristics ( 211 ) for a transmitter ( 110 ) of the first transmitter/receiver pair ( 210 a );
determining Doppler frequencies ( 201 ) based on the first target signal ( 107 a ) and the second target signal ( 107 b ) or the transmitter signal characteristics ( 211 ); and
determining a target position ( 205 ) and a target velocity vector ( 103 ) for the target ( 105 ) based on the Doppler frequencies ( 201 ).
18 . The apparatus of claim 17 , wherein the Doppler frequencies ( 201 ) are determined by:
estimating a carrier offset frequency ( 213 ) for each of the first target signal ( 107 a ) and the second target signal ( 107 b );
removing the carrier offset frequency ( 213 ) for each target signal ( 107 ) to yield a processed signal ( 219 ) comprising a Direct Current (DC) component and the Doppler frequency ( 201 ) for each target signal ( 107 ); and
estimating the Doppler frequency ( 201 ) for each target signal ( 107 ) from the processed signal ( 219 ) using a spectral estimation algorithm ( 215 ).
19 . The apparatus of claim 17 , wherein the Doppler frequencies ( 201 ) are determined by:
eliminating a carrier offset frequency ( 213 ); and
estimating signs of the Doppler frequencies ( 201 ).
20 . A computer program product comprising a non-transitory computer readable storage medium comprising code executable by a processor to perform:
receiving a first target signal ( 107 a ) reflected by a target ( 105 ) for a first transmitter/receiver pair ( 210 a );
receiving a second target signal ( 107 b ) reflected by the target ( 105 ) for a second transmitter/receiver pair ( 210 b ) or transmitter signal characteristics ( 211 ) for a transmitter ( 110 ) of the first transmitter/receiver pair ( 210 a );
determining Doppler frequencies ( 201 ) based on the first target signal ( 107 a ) and the second target signal ( 107 b ) or the transmitter signal characteristics ( 211 ); and
determining a target position ( 205 ) and a target velocity vector ( 103 ) for the target ( 105 ) based on the Doppler frequencies ( 201 ).