Low frequency hand held Moving Target Indicator (MTI) radars can be used in urban combat to gain situational awareness by locating personnel through dense obstructions such as walls. It is desirable that these sensors be small, lightweight, and low power. It is also highly desirable that they operate as hand held devices. However, such a radar device is very sensitive to small platform motions that are a result of hand held usage.
It has generally been accepted that highly sensitive sense through the wall (STTW) radars must be physically stationary to detect human targets exhibiting very slow and small movement such as postural sway or respiration. Typical means of stabilization for hand held devices have included pressing the device up against a wall through which the user is interested in gaining information. Stand-off sensors have typically been mounted on tripods or on stationary manned or unmanned robotic vehicles.
Typical approaches for radar motion compensation include the use of inertial sensors such as accelerometers to measure sensor displacement over time. In an STTW application, radial motion compensation accuracy to millimeter levels may support the detection of very slow and small movements associated with human postural sway or respiration. A hand held STTW sensor will typically exhibit small random radial motion consistent with the postural sway of the user. This small motion is difficult to accurately measure through the use of inertial sensing technology that meets the size and power requirement of the hand held STTW sensor application.
A method and a system to quantify the amount of radial platform motion of a portable sensor are described. In an exemplary embodiment, the frequency domain phase data in the range bin corresponding to a wall or other large stationary object is used. A correction factor is computed and applied back into the time domain samples prior to processing by Doppler filters used to measure motion in the scene.
Features and advantages of the disclosure will readily be appreciated by persons skilled in the art from the following detailed description when read in conjunction with the drawing wherein:
In the following detailed description and in the several figures of the drawing, like elements are identified with like reference numerals. The figures are not to scale, and relative feature sizes may be exaggerated for illustrative purposes.
Exemplary methods to quantify the amount of radial platform motion of a portable radar sensor are described. In an exemplary embodiment, the method uses the frequency domain phase data in the range bin corresponding to the wall or other large stationary object. A correction factor proportional to the amount of radial sensor motion is computed and applied back into the time domain samples prior to processing by Doppler filters used to measure motion in the scene.
An exemplary application is for MTI radar motion compensation, and for use in the specific application of mobile or man-portable battery operated hand held STTW radars. An exemplary STTW radar system may involve a single stand-alone radar sensor or a plurality of distributed mobile sensors or sensor nodes, with the plurality of sensor nodes forming a sensor network.
Still referring to
Motion compensation corrections for radial motion of the sensor caused by postural sway or respiration of the user, in an exemplary embodiment, may be derived strictly from radar data at a range bin that is determined to contain large stationary clutter with no moving targets, typically a building wall.
The baseband equation is:
b(t)=cos(wbt+θb)
Where: wb=(Δw/Δt)*td; θb=wstart*td
Δw=FM frequency sweep
Δt=FM sweep interval
wstart=FM chirp start frequency
With no platform motion:
td=2R/c (round trip time delay from tx to rx)
With platform motion of ΔR:
td=2(R+ΔR)/c
Platform motion is described as radial motion because the radar inherently measures radial range to targets within the antenna beam coverage.
ΔR can be represented as zero mean Gaussian range noise. The quality of motion compensation is limited to how closely the proposed solution can estimate the actual ΔR value.
In an exemplary embodiment, the baseband equation is rewritten as follows:
b(t)=cos[wb(R)t+wb(ΔR)t+θb(R)+θb(ΔR)]
An accurate measurement of ΔR can be used to correct each range bin for platform motion. ΔR may be solved for, using the following technique. For a system with platform motion, a large stationary object (i.e. a front wall) will have a non-constant θb(ΔR) value, i.e., the phase changes at the object over time due to the platform motion. In this embodiment, the range bin corresponding to a wall or other large object is identified on the basis of its large amplitude in the frequency domain data, or the range compressed data. The phase response at the reference range bin is a combination of the baseband phase and the phase response of the FFT used in the range compression operation. To compute the correction factor to apply to the time domain data, the baseband phase response can be computed from the composite phase response expressed as:
θb(R)=θFFT
In this embodiment, the constant phase slope contribution, θFFT(R) is calculated using a linear regression to determine the fitted line corresponding to the FFT phase versus range in the form mR+b. The baseband phase can be expressed as:
θb(R)=mR+b+θFFT
To obtain the phase correction corresponding to the platform motion the phase difference relative to an initial value is computed as:
θb(ΔR)=ΔθFFT
Therefore, ΔR is measured as follows:
ΔR=(θb(ΔR)*c)/(wstart*2)=(ΔθFFT
A correction is applied as a e−jΔt complex multiply of the original baseband signal:
Where: Δt=(Δw/Δt)*2ΔR/c+(wstart*2ΔR/c) or rewritten in simpler format:
Therefore: bcomp(t)=borig(t)*e−jΔθ(t)
An exemplary embodiment of the method provides the ability to detect a large stationary object in an antenna sum channel which is boresight to the sensor. Non-radial components of platform motion are not compensated; however these component result in little degradation to the radar's sensitivity to detect a moving target's radial velocity.
The DSP 640 includes digital I/Q and channel equalization functions 640-1 and 640-2 which provide complex time samples of the radar return signals. The complex time samples are processed by a digital beamformer 640-3 and are stored in memory at 640-4. The resulting data is processed by range compression FFT function 640-5, and a clutter reference cell is detected from the range bins at 640-6 for use in the motion compensation function. An initial phase reference is stored at 640-7. The clutter reference phase shift is measured or calculated at 640-8, and used to calculate the motion compensation coefficient or correction factor at 640-9. At 640-11, the original complex time samples are complex multiplied by multiplier 640-11, and the new motion-compensation complex time samples are processed by the range compression block 640-12, the Doppler compression 640-13, and target detection processing 640-14. The output of the target detection processing is provided to the operator interface 670.
In an exemplary embodiment, the radial motion correction factors are calculated for each beamformer output channel. In one embodiment, the clutter reference cell is determined using a detector operating on the sum beam from the beamformer block, 650-3. In other embodiments, this range cell determination can be made or aided by external inputs such as that from a laser range finder. Thus, for the example illustrated in
This exemplary embodiment of the radar sensor utilizes wideband linear frequency modulated pulses to achieve high range resolution. The receiver features stretch processing to de-chirp the received FM radar echoes. Due to the linear FM sweep, the de-chirped waveform features a one-to-one correspondence between range (time delay) and frequency offset from DC. The range compression functions (640-5, 640-12) are implemented with Fast Fourier Transform (FFT) functions that act like a bank of matched filters for each range. To measure target velocities at each range, the Doppler compression block 640-13 performs a two dimensional (2D) FFT over each range bin over a given coherent processing interval. At the output of the Doppler compression, an adaptive threshold is calculated for each range-Doppler bin using a “lesser-of” constant false alarm rate threshold algorithm. This algorithm adaptively adjusts the detection threshold for each range bin based on the noise, clutter, and interference measured in adjacent range bins. For any range-Doppler bin where a threshold crossing is determined, the angle is determined using a phase monopulse calculation and the range, angle, and velocity data is forwarded to a Kalman tracking filter in the target detection processing 640-14. The output of the Kalman tracking filter of the MTI detection and tracking function 640-14 is supplied to the operator display interface 670.
A method to quantify the amount of radial platform motion of a portable sensor has been described. In an exemplary embodiment, the frequency domain phase data in the range bin corresponding to a wall or other large stationary object is used. At each pulse, a phase correction factor is computed proportional to the amount of radial sensor motion that has occurred and applied back into the time domain samples prior to processing by Doppler filters used to measure motion in the scene. This approach significantly improves the motion compensation performance over long coherent integration intervals as compared to typical inertial measurement techniques and may result in smaller radar sensor size, weight, and power.
Although the foregoing has been a description and illustration of specific embodiments of the subject matter, various modifications and changes thereto can be made by persons skilled in the art without departing from the scope and spirit of the invention.
This invention was made with Government support under Contract No. W15P7T-05-C-P616 awarded by the Department of the Army. The Government has certain rights in this invention.
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