IMSAR System Info

0021-EX-ML-2016 Text Documents

ImSAR LLC

2016-01-26ELS_171935

Company and Technology Background

         IMSAR LLC has radar technology that is able to track moving targets, image the surface of the earth,
create digital elevation maps, assist in search and rescue operations, and detect small changes in a scene, such
as the movement of a vehicle. Various branches of the US military, including the Navy, Army, and Air Force, as
well as some commercial businesses, have expressed interest in this technology. The size, weight, power, and
cost of IMSAR’s Synthetic Aperture Radar (SAR) system, known as NanoSAR, are an order of magnitude less than
similar systems.
         IMSAR performs SAR tests from a small aircraft typically flying between 2,000 and 10,000 feet in altitude
(above ground level). Directional transmit and receive antennas are nominally pointed toward the earth.
Reflected signals are collected and processed to create images of the ground. Transmission is a linear frequency
modulated continuous wave (LFM-CW), or a "chirp," with the frequency being swept from the minimum to the
maximum frequency 1000 times per second. A chirp signal is illustrated in Figure 1. Because the transmission
power is under 15 W ERP and the frequency sweeps are very rapid, the average power at any given
frequency is extremely low, as is the likelihood of detection by (i.e., interference to) ground based systems
operating in the same frequency range.




                 Figure 1. Example LFM chirp signal, increasing in frequency from left to right, then repeating.



        UHF frequencies are employed to enable ground penetration and observation of specific targets where
UHF reduces the clutter of the background. The transmit signal is directed perpendicular to the direction of
travel and towards the ground using a directional antenna. The antenna radiation pattern is approximately 120°
in elevation and 70° in azimuth. The back lobes of the antenna are attenuated significantly. The peak of the
antenna pattern has a 45° incident angle to the ground. The return signal is received by the same antenna. An
example of the geometry of a SAR is shown in Figure 2.



                         © 2013 IMSAR, LLC ∙ 940 South 2000 West, Suite 140 ∙ Springville, UT ∙ 84663
                                  PH 801-798-8440 ∙ FAX 801-798-2814 ∙ www.imsar.com


                                Figure 2. Example SAR geometry, from an airborne platform.



Non-interference – Mathematical

         IMSAR’s UHF band radar has a very low probability of interfering with other systems operating in the
same frequency band, because the low-power signals are transmitted from a considerable range and are spread
out over a large bandwidth.
         The radar signal is a linear frequency modulated (LFM) "chirp" whose instantaneous frequency increases
linearly throughout the duration of the radar pulse, beginning at the smallest frequency and ending at the
largest. This is repeated 1000 times per second. Since each individual frequency is only transmitted for a very
short duration, the power in each frequency bin is considerably less than it would be with a continuous wave
(CW) signal transmitting at that single frequency. This is known as a spread spectrum signal.
         As a microwave signal radiates from an antenna it spreads out as the distance from the antenna
increases. This is in contrast to a laser beam, which is highly focused and maintains all of its power in the
pointed direction. The power density (in units of watts per square meter) of a microwave signal radiated from
an isotropic source decreases by a factor of 4πR2, where R is the distance from the antenna. For a directional
antenna, the transmitted power is first multiplied by the gain of the antenna before dividing by the R2 term.
Even still the R2 term becomes large very quickly and greatly reduces the power incident on the distant target.
         The IMSAR UHF radar transmits 6 watts of power through an antenna that has about 6 dBi of gain,
currently operates over 560 MHz of bandwidth (from 400-960 MHz), and typically operates at a range of 3000
feet or more from the intended target. So the 6 watts gets spread out over the band and then the power
density is reduced by the distance that it must travel before reaching the ground. The end result is that the
transmitted radar signal is indistinguishable from noise once it reaches another device or system operating in a
sub-band, such as the 11 MHz-wide bands used by the FirstNet emergency responders network (power levels
are on the order of picowatts). (IMSAR is able to detect this signal from out of the noise with the use of a
broadband receiver and appropriate signal processing techniques.)

Non-interference – Experience
                        © 2013 IMSAR, LLC ∙ 940 South 2000 West, Suite 140 ∙ Springville, UT ∙ 84663
                                 PH 801-798-8440 ∙ FAX 801-798-2814 ∙ www.imsar.com


         IMSAR has had an FCC experimental license covering portions of the UHF band since November 2008,
when the license allowed for transmissions between 405-450 MHz. This was expanded to be 405-650 MHz in
September 2010, and expanded further to 405-960 MHz in December 2012. During this time there has not been
any reported incident of interference caused by our radar system, while logging many hundreds of hours of
operation time in both rural and metropolitan areas.
         During 2013 testing was performed near Atlanta, GA, and there was concern that our system would
interfere with various broadcast and communication systems in the vicinity of this busy city. As a result, we
notified about 40 different agencies to let them know what we were doing and when we were doing it. We told
them that we didn’t anticipate any problems but for them to call us if they encountered anything at all, and we
would immediately shut down our transmitter. We successfully completed our experiments without any
complaints from any of the organizations that were notified.
         On another occasion, we were flying at just 500 feet above ground level at a military facility. Some
members of the military wanted to prove that they could detect our signal. They brought out their expensive RF
equipment and pointed it in the direction of our transmitter as it flew by on the aircraft. Even knowing where to
look, the band we were transmitting at, and having sensitive equipment, they were unable to distinguish our
signal from the noise floor of the equipment.

Calculated Incident Power as a Function of LOS Distance to Receiver

          The incident power level decreases with distance between the transmitter and receiver. Figure 3 shows
the power level incident at a receiver system as a function of the distance of that system from the IMSAR UHF
radar. The vertical line in the plot represents the minimum altitude (AGL) at which the UHF radar can
successfully operate. At this "worst case" distance, and for a receiver bandwidth of 10 MHz, the incident power
level is estimated to be about -65 dBm, or 320 picowatts. For a system with a smaller receiver bandwidth, the
incident power would be even less.




                     Figure 3. Power incident at a receiver as a function of distance from the UHF radar.

                         © 2013 IMSAR, LLC ∙ 940 South 2000 West, Suite 140 ∙ Springville, UT ∙ 84663
                                  PH 801-798-8440 ∙ FAX 801-798-2814 ∙ www.imsar.com


The results of Figure 3 were obtained using the following calculations.

        Definitions
        rr       ramp rate (Hz/sec)
        duty transmitter duty cycle
        BTx      transmitter bandwidth (Hz)
        BRx      receiver bandwidth (Hz)
        PTx      transmit power (W)
        PRx      receiver power (W)
        GA       transmit antenna gain (linear)
        PRF      pulse repetition frequency (Hz)
        freq     receiver frequency (Hz)
        dist     distance to receiver (m)
        FSPL free space path loss
        λ        wavelength (c/freq, where c is speed of light 3e8)

        Equations

               BTx PRF
        rr =
                duty

                   4𝜋 dist 2
        FSPL = (     𝜆
                          )    = 20 log10(dist ∗ freq) + 20 log10(4𝜋c)

                BRx PTx PRF GA       𝑐       2
        PRx =                  (            )
                     16 rr      𝜋 dist freq

        Example
        duty 0.63
        BTx    560 MHz (covering 400-960 MHz)
        PT     6W
        GA     4
        PRF    1000 Hz

        For a receiver with 10 MHz bandwidth centered on 900 MHz, at 762.2 m (2500 ft) from the transmitter,
        the power level incident at the receiver is calculated to be 320 pW, or -65 dBm.




                           © 2013 IMSAR, LLC ∙ 940 South 2000 West, Suite 140 ∙ Springville, UT ∙ 84663
                                    PH 801-798-8440 ∙ FAX 801-798-2814 ∙ www.imsar.com



Document Created: 2016-01-26 11:51:00
Document Modified: 2016-01-26 11:51:00

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