IMSAR system info

0776-EX-ST-2017 Text Documents

IMSAR LLC

2017-06-08ELS_193281

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 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.



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.




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.




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


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



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


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: 2017-06-08 13:12:51
Document Modified: 2017-06-08 13:12:51

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