Radar using hermetic transforms

1. A method comprising:

receiving, using an antenna array, a plurality of radar signals comprising target echoes from a radar beam from a pulsed radar source, the antenna array comprising a plurality of individual antenna elements;

sampling the radar signals at each antenna element;

performing, using one or more processors, a Hermetic Transform on the plurality of radar signals comprising target echoes received by the plurality of antenna elements to produce a plurality of spatially directive beams, each beam comprising signal samples over a time period that is a multiple of the pulse repetition interval of the radar source; and

using the plurality of beams to identify information about an object that is a source of the target echoes.

2. The method of claim 1 , further comprising:

forming a successive plurality of series of samples received at the same time as each other from the plurality of beams, wherein the successive plurality of series of samples are arranged for moving target indicator processing and comprise sets of beam signal samples each set corresponding to one pulse repetition interval in duration;

performing a Hermetic Transform with M frequency bins on corresponding time samples of signals from each PRI to provide samples from M Doppler filters; and

match filtering a Doppler channel to identify echoes generated by a specific pulse.

3. The method of claim 2 , wherein the forming is performed with a corner turn memory that reads in samples from each beam into rows or columns, and reads out data in columns or rows, respectively, to provide the successive plurality of series of samples received at the same time as each other from the plurality of beams.

4. The method of claim 2 , wherein the match filtering is performed using a Hermetic matched filter matrix H.

5. The method of claim 4 , wherein the Hermetic matched filter matrix H is a matrix such that HS=I, where I is the identity matrix, and wherein S is a matrix of P columns of data, with each column being a transform of a circularly time shifted version of samples of a replica signal.

6. The method of claim 5 , wherein the match filtering includes multiplying the Hermetic matched matrix H with a matrix F, with matrix F being derived from transformed samples of complex data.

7. The method of claim 6 , wherein the samples of complex data are oversampled at a rate greater than the Nyquist rate for Doppler shifts.

8. The method of claim 1 , further comprising receiving a second plurality of radar signals from a second antenna array, performing Hermetic Transform beamforming on the second received radar signals to produce a second plurality of beams with samples over a time period, using the second plurality of beams in combination with the first plurality of beams to identify information about an object.

9. The method of claim 1 , wherein the information identified about the object includes location and/or movement of the object.

10. The method of claim 4 , further comprising receiving a second plurality of radar signals from a second antenna array, performing Hermetic Transform beamforming on the second received radar signals to produce a second plurality of beams with samples over a time period, match filtering the second plurality of beams with a Hermetic matched filter matrix H 2 , wherein the Hermetic matched filter matrix H 2 is a matrix such that H 2 S 2 =I, where I is the identity matrix, and wherein S 2 is a matrix of P columns of data, with each column being a transform of a circularly time shifted version of samples of a replica signal.

11. A method comprising:

receiving, using an antenna array, a plurality of radar signals comprising target echoes from a radar beam from a pulsed radar source, the antenna array comprising a plurality of individual antenna elements;

sampling the radar signals at each antenna element;

providing the plurality of radar signals comprising target echoes received by the plurality of antenna elements to a Hermetic Transform to produce a plurality of spatially directive beams, each beam comprising signal samples over a time period that is a multiple of the pulse repetition interval of the radar source;

forming, using one or more processors, a successive plurality of series of samples received at the same time as each other from the plurality of beams, wherein the successive plurality of series of samples are arranged for moving target indicator processing and comprise sets of beam signal samples each set corresponding to one pulse repetition interval in duration;

match filtering a Doppler channel to identify echoes generated by a specific pulse,

wherein the match filtering is performed using a Hermetic matched filter matrix H, wherein the match filtering includes multiplying the Hermetic matched matrix H with a matrix F, with matrix F being derived from transformed samples of complex data, and wherein the Hermetic matched filter matrix H is a matrix such that HS=I, where I is the identity matrix, and wherein S is a matrix of P columns of data, with each column being a transform of circularly time shifted version of samples of a replica signal; and

using the desired pulse to identify information about an object that is a source of the target echoes.

12. The method of claim 11 , wherein the forming is performed with a corner turn memory that reads in samples from each beam into rows or columns, and reads out data in columns or rows, respectively, to provide the successive plurality of series of samples received at the same time as each other from the plurality of beams.

13. The method of claim 11 , wherein the samples of complex data are oversampled at a rate greater than the Nyquist rate for Doppler shifts.

14. The method of claim 11 , wherein the result of the multiplication of matrix H and matrix F results in a matrix V that is compared to a threshold to identify one or more peak locations.

15. The method of claim 11 , wherein the information about the object includes location and/or movement of the object.

16. The method of claim 11 , wherein the plurality of radar signals from the antenna array is a first plurality from a first array, further comprising

receiving, using a second antenna array, a second plurality of radar signals comprising second target echoes from a second radar beam from a second pulsed radar source, the second antenna array comprising a second plurality of individual antenna elements,

sampling the second radar signals at each second antenna element;

providing the second plurality of radar signals comprising second target echoes received by the second plurality of antenna elements to a second Hermetic Transform to produce a second plurality of spatially directive beams, each second beam comprising signal samples over a second time period that is a multiple of the pulse repetition interval of the second radar source;

forming, using the one or more processors, a second successive plurality of series of samples received at the same time as each other from the plurality of beams, wherein the second successive plurality of series of samples are arranged for moving target indicator processing and comprise sets of beam signal samples each set corresponding to one pulse repetition interval in duration;

match filtering a second Doppler channel to identify second echoes generated by a second specific pulse,

wherein the match filtering is performed using a Hermetic matched filter matrix H 2 , wherein the match filtering includes multiplying the Hermetic matched matrix H 2 with a matrix F 2 , with matrix F 2 being derived from transformed samples of complex data, and wherein the Hermetic matched filter matrix H 2 is a matrix such that H 2 S 2 =I, where I is the identity matrix, and wherein S 2 is a matrix of P columns of data, with each column being a transform of circularly time shifted version of samples of a replica signal; and

using the desired pulse to identify information about an object that is a source of the second target echoes.

17. The method of claim 6 , wherein the result of the multiplication of matrix H and matrix F results in a matrix V that is compared to a threshold to identify one or more peak locations.