Synthetic Aperture Radar Imaging Using a Small Consumer Drone

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Synthetic Aperture Radar Imaging Using a Small Consumer Drone Chenchen J. Li and Hao Ling The University of Texas at Austin

Outline I. Motivation and Objective II. Drone SAR System III. Validation on Corner Reflectors IV. Preliminary Data on Other Targets V. Conclusion

Motivation Small drones have become popular for aerial photography. 3

Motivation What happens when you mount a radar on the drone??????? 4

Motivation Small drones have become popular for aerial photography. Radar imaging could provide complementary information and extended operating conditions. Applications in scientific, agricultural, and environmental monitoring. UAV-SAR systems exist but are typically too heavy and need to be supported by large UAVs [-3]. [] Lynx, Sandia,. 5 lb system [] Koo et al.,. 44 lb system [3] NanoSAR, BYU, 6. -3 lb system 5

Objective Develop and demonstrate a low-cost SAR system that is mounted on a small consumer drone (DJI Phantom ). Radar Scientific Question: Can a low-cost, high-resolution SAR system be realized on a small consumer drone (whose maximum payload is typically less than lb)? 6

PulsON 4 UWB Radar PulsON 4 (P4) radar by Time Domain Corporation. Board is 7.6 cm x 8 cm x.6 cm, weighs 58 grams, and can be battery powered. Emits short pulses at a pulse repetition frequency of MHz. Equivalent frequency bandwidth from 3. to 5.3 GHz centered at 4.3 GHz. USB interface to control radar and transfer range profiles. 7

Drone SAR System Wi-Fi Raspberry Pi Computer Time Domain Radar R min R ϕ Drone Control Radar Control SAR system consists of P4 radar, Raspberry Pi + Wi-Fi Dongle, helix antennas mounted on aluminum ground planes. Entire system (including cables and batteries) weighs less than 3 g. 8

Drone SAR Prototype Photos Raspberry Pi Radar Helix Antennas 9

S (db) Gain (db) Helix Antennas Broadband 5-turn helix antenna centered at 4 GHz. Supported by 3-D printed mold. Aluminum ground planes. right-hand CP for Tx, left-hand CP for Rx. Gain: ~ db ; Two-way 3 db beamwidth: ~5 5 - - 5-3.5 3 3.5 4 4.5 5 5.5 Freq (GHz).5 3 3.5 4 4.5 5 5.5 Freq (GHz)

Signal Strength Signal Strength Measurement Range Profiles Measured range profiles are real valued but finely sampled in time. Use FFT to get the complex frequency response and only keep data from 3..3 GHz. Raw Range Profile Frequency Response 5 3 x 4.5 5.5 -.5.5.5.5 Down-range (m) 5 Frequency (GHz)

Validation on Corner Reflectors 4 small aluminum trihedrals as point-scatterer targets. Range profiles collected (at Hz) by flying drone in a straight line across measurement scene. Prominent persistent scatterers facilitate range alignment for image formation.

Range (m) Range (m) Range (m) Range (m) Motion Compensation Raw Sinogram 9 Measurement - - 9 Simulation - - 8 8 4 3 4 Time (s) -3 4 3 4 Time (s) -3 Aligned Sinogram 3 - - 3 - - - 3 4 Time (s) -3-3 4 Time (s) -3 Range profiles show significant range migration. Align to closest scatterer. Good agreement with point-scatterer simulation. 3

Range Image Formation Frequency/angle data are placed in k-space. Image r, cr = E s f, ϕ e jk xr e jk ycr dk x dk y where k x = 4πf c k y = 4πf c cos ϕ sin ϕ ; ϕ = cos R min R Polar reformat to uniform k x -k y space and take -D inverse fast Fourier transform to obtain image. k y k-space data -D ifft SAR image k x Cross-Range 4

Range (m) Range (m) Range (m) Resulting SAR Images 4 Simulation Rail-SAR Drone-SAR 4 4 3 3 3 - - - - - - - - - Cross-Range (m) -3 - - - Cross-Range (m) -3 - - - Cross-Range (m) -3 3 focused scatterers. Cross-range smearing of farthest scatterer due to near-field effects. Good agreement between simulation and rail-sar. More blurred result in drone-sar. 5

Range (m) Application to Other Targets 4 3 Vehicle - Trihedral - - - - Cross-Range (m) -3 Trihedral is left in the scene for reference. Stationary vehicle and human targets. Able to generate SAR images of other targets. 6

Range (m) Application to Other Targets 4 3 Vehicle Vehicle - Trihedral Trihedral - - - - Cross-Range (m) -3 Trihedral is left in the scene for reference. Stationary vehicle and human targets. Able to generate SAR images of other targets. 7

Range (m) Application to Other Targets 4 3 Vehicle Vehicle Human - Trihedral Trihedral Trihedral - - - - Cross-Range (m) -3 Trihedral is left in the scene for reference. Stationary vehicle and human targets. Able to generate SAR images of other targets. 8

Recap Devised a portable, lightweight SAR system that can be mounted on a small drone. Verified its imaging capability on trihedrals and then collected preliminary data of other targets. Current work. Near-field correction Downward-looking SAR 9

Near-Field Effect Correction Previous: used far-field FFT-based imaging scheme on near-field data. Solution: apply near-field backprojection imaging scheme. Near-Field Data Far-Field FFT-Based Imaging Final Image Near-Field Backprojection

Near-Field Backprojection Matched filter algorithm that projects the scattered field data into the phase function. SAR r, cr = NM N M n= m= E s x n, f m e j4πf m c cr x n + r+y o +z o r SAR Image cr

Range (m) Range (m) Range (m) Resulting SAR Images 4 Simulation Rail-SAR Drone-SAR 4 4 3 3 3 - - - - - - - - - Cross-Range (m) -3 - - - Cross-Range (m) -3 - - - Cross-Range (m) -3 Near-field effects have been removed. Good agreement between rail-sar and simulation. More blurred result in drone-sar.

Downward-Looking SAR Wi-Fi Raspberry Pi Computer Time Domain Radar Drone Control Radar Control Point antennas at the ground in order to change imaging plane. 3

Preliminary Investigation Currently mounted on a vehicle for preliminary investigation. Attached drone-sar system on extension pole and pointed downward. Drive across parking lot and collect range profiles. 4

Range (m) Resulting Range Profiles 4 3.5 3.5.5.5 Person Car 3 Car Car 4 6 Time (s) - - -3 Car Car Strong ground bounce and minor residual platform returns. Height information is captured. Multiple scattering is visible. 5

Range (m) Resulting Range Profiles 4 3.5 3.5.5.5 Person Car 3 Car Car 4 6 Time (s) - - -3 Car 3 Car Car Car Strong ground bounce and minor residual platform returns. Height information is captured. Multiple scattering is visible. 6

Range (m) Resulting Range Profiles 4 3.5 3.5.5.5 Person Car 3 Car Car 4 6 Time (s) - - -3 Car Car Car 3 Car Person Car 3 Strong ground bounce and minor residual platform returns. Height information is captured. Multiple scattering is visible. 7

Devised and demonstrated a portable, lightweight SAR system that can be mounted on a small drone. Pros: + Low-cost and portability opens up many new possibilities for in-situ measurements that were prohibitive in the past. Cons: Needs prominent scatterer (absence of navigation data). Drone flight instability. Conclusion 8

Future Work Continue downward-looking SAR for frontal view imaging of targets. Examine radar signatures under co-polarized and cross-polarized scenarios. SAR imagery of targets through optical obstructions (smoke, foliage). Blind motion compensation / obtain navigation data. 9

Acknowledgments Thanks to Sam Grayson, Tiffany Dang, Li Wang, Reid Li, and Kevin Chaloupka for their assistance. 3