Method and system for determining signal direction

1. A method of generating an image from a phased array, the method comprising:

receiving signals from each of a plurality of sensors in a phased array, the plurality of sensors generating the signals in response to receiving an echo of transmitted ultrasound signals;

for each of the received signals, pairing a signal received by a first sensor in the phased array with a signal received by a second sensor, located adjacent to the first sensor in the phased array, to form a first set of paired signals, each of the paired signals in the first set of paired signals having angular resolution information of an object;

hierarchically combining paired signals to form additional sets of paired signals and determining refined angular resolution information of the additional sets of paired signals, wherein hierarchically combining paired signals includes forming a second set of paired signals by pairing each of the paired signals in the first set of paired signals with another of the paired signals in the first set of paired signals, the refined angular resolution information of each of the paired signals in the second set of paired signals determined from the angular information of resolution of each paired signal in the first set of paired signals used to form the corresponding second paired signals in the second set of paired signals;

continuing to hierarchically combine paired signals until the refined angular information of resolution of the paired signals has been converted to angular information of resolution at an Abbe limit; and

forming an image using the hierarchically combined paired signals.

2. The method of claim 1 , wherein continuing to hierarchically combine paired signals comprises forming a third set of paired signals with refined angular resolution by pairing each paired signal in the second set of paired signals with another paired signal in the second set of paired signals, the refined angular information of resolution determined from the angular information of resolution of each paired signal in the second set of paired signals used to form the corresponding third paired signals in the third set of paired signals.

3. The method of claim 2 , wherein continuing to hierarchically combine paired signals comprises forming a fourth set of paired signals with refined angular resolution by pairing each paired signal in the third set of paired signals with another paired signal in the third set of paired signals, the refined angular information of resolution determined from the angular information of resolution of each paired signal in the third set of paired signals used to form the corresponding fourth paired signals in the fourth set of paired signals.

4. The method of claim 1 , further comprising apodizing the received signals from sensors in the phased array.

5. The method of claim 1 , further comprising compensating for time delay of the received signals due to the location of each sensor in the phased array.

6. The method of claim 1 , wherein each paired signal in the first set of paired signals is paired with another paired signal in the first set of paired signals in accordance with their spatial placement and angle in volume in the phased array.

7. The method of claim 6 , wherein each paired signal in the second set of paired signals with another paired signal in the second set of paired signals in accordance with their spatial placement and angle in volume in the phase array.

8. The method of claim 1 , wherein the second sensor is located above, below, or beside the first sensor.

9. The method of claim 1 , wherein the echo of the transmitted ultrasound signals is near field imaging data.

10. The method of claim 1 , wherein the echo of the transmitted ultrasound signals is far field imaging data.

11. The method of claim 1 , further comprising transmitting the ultrasound signals.

12. The method of claim 11 , wherein the transmitted ultrasound signals comprise a plurality of ultrasound frequencies.

13. The method of claim 1 , wherein the plurality of sensors are less than a wavelength apart.

14. The method of claim 1 , wherein the plurality of sensors are less than 0.7 wavelengths apart.

15. A beamforming apparatus comprising:

a phased array comprising transducers separated by a distance L configured to receive signals of a frequency (f) with a period (T) and wherein there is a time delay of +t/4 to −t/4 between signals received by adjacent transducers;

a processor configured to translate spatial input data to angular output by:

pairing each received signal according to space and time to create a first set of paired received signals;

pairing each of the first set of paired received signals according to space, angle and time to create a second set of paired signals;

pairing each of the second set of paired signals according to space, angle and time to create a third set of paired signals;

pairing each of the third set of paired signals according to space, angle and time to create a fourth set of paired signals;

continuing hierarchically to combine angles of interest with adjacent angular beams from neighboring sub-arrays to refine angular resolution until all of the spatial input has been converted to angular information of resolution at an Abbe limit;

apodizing each set of signals;

interpolating the angular information; and

forming an image from the interpolated angular information; and

wherein, all possible beam directions are detected in parallel.

16. The beamforming apparatus of claim 15 , wherein the distance L is λ/1.44.

17. The beamforming apparatus of claim 15 , wherein a beam angle varies between +π/4 radians to −π/4 radians.

18. The beamforming apparatus of claim 15 , wherein the beamforming apparatus is frequency agnostic.