Super interferometric range resolution

1 . An interferometric range resolution apparatus comprising:

an antenna and a transceiver configured to transmit and receive wireless pulses;

a dish configured to direct the received wireless pulses to the antenna; and

a processor electrically coupled to the antenna via the transceiver, the processor configured to provide range resolution of at least two objects along a same line-of-sight of the transmitted wireless pulses by:

selecting interference-class pulses for transmission, the interference-class pulse formed using a function, a first region of the function being configured to be sensitive to interference requiring extended and steep temporal gradients, and a second region of the function being configured to be a zero-gradient region that is insensitive to interference and provides an amplitude reference,

causing the antenna to transmit the interference-class pulses as the wireless pulses,

receiving reflected wireless pulses via the antenna, and

using parameter estimation of the reflected wireless pulses to determine at least one of a range of the at least two objects, a distance between the at least two objects, or relative scattering amplitudes related to the at least two objects.

2 . The interferometric range resolution apparatus of claim 1 , wherein the reflected wireless pulses include multiple scattering depths along the same line-of-sight that result in the interference of temporally shifted versions of the transmitted wireless pulses.

3 . The interferometric range resolution apparatus of claim 1 , wherein a distance of the range resolution of the at least two objects is based on a pulse width.

4 . The interferometric range resolution apparatus of claim 1 , wherein using parameter estimation includes analyzing an interference between coherent pulses.

5 . The interferometric range resolution apparatus of claim 1 , wherein the function is at least one of an interference-class bandlimited pulse function, a triangle function, and a sinc 2 pulse function.

6 . The interferometric range resolution apparatus of claim 5 , wherein the interference-class bandlimited pulse function is generated from a band-limited canvas function and a polynomial function.

7 . The interferometric range resolution apparatus of claim 5 , wherein the triangle function is configured to amplitude-resolve the at least two objects when the at least two objects have depths that are closely spaced along the same line-of-sight.

8 . The interferometric range resolution apparatus of claim 5 , wherein the triangle function has an irregular spectrum.

9 . The interferometric range resolution apparatus of claim 1 , wherein the at least two objects includes a first object and a second object.

10 . The interferometric range resolution apparatus of claim 9 , wherein the first object is related to a first depth and the second object is related to a second depth of a two-depth target.

11 . A method comprising:

directing a wireless pulse to an antenna; and

providing range resolution of at least two objects along a same line-of-sight of the wireless pulse, wherein providing range resolution includes:

selecting an interference-class pulse for transmission, the interference-class pulse formed using a function, a first region of the function being configured to be sensitive to interference requiring extended and steep temporal gradients, and a second region of the function being configured to be a zero-gradient region that is insensitive to interference and provides an amplitude reference,

causing the antenna to transmit the interference-class pulse as the wireless pulse,

receiving a reflected wireless pulse via the antenna, and

using parameter estimation of the reflected wireless pulse to determine at least one of a range of the at least two objects, a distance between the at least two objects, or relative scattering amplitudes related to the at least two objects.

12 . The method of claim 11 , wherein the reflected wireless pulse includes multiple scattering depths along the same line-of-sight that result in the interference of temporally shifted versions of the transmitted wireless pulse.

13 . The method of claim 11 , further comprising transmitting, by at least one of the antenna and a transceiver, the wireless pulse.

14 . The method of claim 13 , further comprising receiving, by at least one of the antenna and the transceiver, the wireless pulse.

15 . The method of claim 11 , wherein using parameter estimation includes analyzing an interference between coherent pulses.

16 . The method of claim 11 , further comprising generating the function.

17 . The method of claim 16 , wherein the function is at least one of an interference-class bandlimited pulse function, a triangle function, and a sinc 2 pulse function.

18 . A non-transitory machine readable medium storing code, which when executed by a processor, is configured to:

direct a wireless pulse to an antenna; and

provide range resolution of at least two objects along a same line-of-sight of the wireless pulse, wherein providing range resolution includes:

selecting an interference-class pulse for transmission, the interference-class pulse formed using a function, a first region of the function being configured to be sensitive to interference requiring extended and steep temporal gradients, and a second region of the function being configured to be a zero-gradient region that is insensitive to interference and provides an amplitude reference,

causing the antenna to transmit the interference-class pulse as the wireless pulse, and

using parameter estimation of a reflected wireless pulse received via the antenna to determine at least one of a range of the at least two objects, a distance between the at least two objects, or relative scattering amplitudes related to the at least two objects.