Requirements
Requirements for the Mars 2020 mission and rover payloads are divided into five levels. Level 1 is the top level covering the complete mission, including bringing a rover to Mars, restrictions on where to land on Mars, total rover drive distance, sample and cache capability, contamination control, planetary protection, and more. The Level 2 requirements relevant to the performance of RIMFAX as a scientific instrument include requirements on the Mars 2020 payload system to be able to survey scenes for geologic content, interpret geologic processes, and accommodate RIMFAX.
All instruments are to meet Level 3, 4 and 5 requirements. These levels include requirements on science, electrical and mechanical interfaces, environment, EMI/EMC, contamination control, planetary protection, and more. The science requirements relevant to the RIMFAX design and capabilities are shown in Fig. 3, and written out in Table 2 for Level 4. The science requirements imposed on RIMFAX all lead up to the Level 3 requirement (L3-01) which states that the Payload System shall have the capability to map subsurface geological layers to a depth of at least 10 m along the rover traverse path. L3-01 is automatically met when all L4 requirements in Fig. 3 are met. Level 5 requirements are not shown in Fig. 3.
Table 2 Level 4 Science requirements relevant to RIMFAX design and capabilities The performance of RIMFAX was referenced to a subsurface model of a dense, intermediate-loss basalt (3.00 g/cm3, \(\varepsilon _{r}= 7.06+i0.247\)) overlain by a 10 meter thick basaltic regolith (1.60 g/cm3, \(\varepsilon _{r}= 2.84+i0.014\)) with a scattering loss of about the same strength as the dielectric loss. To be able to verify performance requirements, transmission line test kits were developed to simulate the conditions for which the requirements were given.
Waveform
Commercial GPR systems used on Earth normally employ time-domain impulse signals. The receivers in these systems are very often time-repetitive sampling receivers (Daniels 2004). It has been shown that this type of waveform sampling is not optimal regarding power consumption and dynamic range (Hamran 1995, 2010). For this reason a Step Frequency (SF) waveform was chosen for the WISDOM GPR (Ciarletti et al. 2017). The SF waveform has some inherent problems and the most difficult of these is the range ambiguity that results from the discrete sampling of the waveform in the frequency domain. We have therefore chosen a Frequency Modulated Continuous Wave (FMCW) waveform for the RIMFAX radar. In FMCW radar the baseband signal is low-pass filtered before being sampled. This filter effectively removes deeper reflectors and yields an ambiguity-free range interval. It has also been shown that the FMCW waveform is more energy efficient than the SF waveform (Hamran 2010). The RIMFAX FMCW waveform uses a gating technique that allows a single antenna to be used both as a transmitter and receiver.
The working principle of an FMCW radar is illustrated in Fig. 4, and Table 3 gives the main paramaters characterizing the radar. A signal swept through frequencies \(F_{1}\) to \(F_{2}\) is transmitted through the antenna. A signal reflected from a distance, \(d\), and delayed by the two way travel time, \(t\), given by \(t=2d/v\), is received by the antenna. The received delayed signal will have a different frequency than the signal currently being transmitted. Multiplying the received signal with the signal currently being transmitted will give a baseband signal with a frequency equal to the frequency difference between the two signals. For a stationary reflector this frequency difference will be constant over the sweep. The frequency of this signal, called the beat signal, will be proportional to the delay time, and thereby the distance range, to the reflector. The proportionality constant is given by the ratio between the sweep bandwidth and the duration of the sweep. The frequency of the beat signal is given by:
where \(B= F_{2} - F_{1}\) is the sweep bandwidth, \(T_{s}\) is the sweep duration, \(v\) is the wave velocity in the material and \(d\) is the range to the reflector. Measuring the beat frequency thus yields the range to the reflector. The amplitude of the received sine-wave signal will give us the reflection strength. If several reflectors are present the baseband signal will be a summation of all the different reflected signals. Spectral estimation techniques like Fourier transforms can calculate the reflected signal.
Table 3 Main parameters of the RIMFAX instrument with typical values Gating
The FMCW signal is gated in a switch before being amplified and fed to the antenna through the antenna switch, see Fig. 5. The gating switches the FMCW signal on and off with a duty cycle up to 50%. The gating frequency is much lower than the transmitted-signal frequency and higher than the baseband signal spectrum. The reflected signal response will be a convolution between the gated, square-wave transmitted signal and the square wave of the receiver gating. This response function will be a triangular waveform producing an effective linear gain on the received signal as a function of depth, see Fig. 6 (Hamran 1995). Typically the maximum of the gating function will correspond to the maximum instrumented range. After the gating peak a linear reduction in amplitude will be combined with the spherical loss and attenuation in the media reducing the reflected signal rapidly.
If the receiver gating waveform is turned on with a slight delay after the transmitter gating signal turns off, there will be a time window where no signal is entering the receiver. This is illustrated in Fig. 6, in which the receiver gate-signal delay is represented by \(T_{R}\). Any reflected signal from the exterior or subsurface that arrives during the time-delay window from 0 to \(T_{R}\) does not enter the receiver. The radar response as a function of delay time will then be a symmetric triangular shape with a flat-peaked top of length \(T_{R}\) at time at \(T_{G} /2\), giving a linear gain with travel time and depth. If the frequency of the square wave gating signal is \(F_{G}\), the total gating window length is \(T_{G} =1/ F_{G}\).
The gating makes it possible to remove strong reflectors from the receiver signal before the signal is digitized, effectively increasing the dynamic range coverage of the radar system.
Design Considerations
The RIMFAX instrument consists of two main subsystems, the electronics unit and the antenna. The electronics unit (EU) resides inside the left aft tower of the rover in a benign, thermally controlled environment, while the antenna is located under the hot RTG facing down to the cold ground (Fig. 2). This results in a large thermal gradient over the antenna that puts heavy constraints on its design.
Electronics Unit
The main performance requirements (Fig. 3) were used as input for the design and implementation of the instrument. The radar must detect structures close to the surface with good resolution, and at the same time have a high dynamic range to see deep into the ground. This is achieved by executing several soundings in different modes at each position along a rover traverse.
Since ground composition on Mars (i.e., porosity and the dielectric properties) is largely unknown, the features of the radar are programmable. This allows us to configure the radar depending on what we see on Mars and what we want to investigate. The configuration/setup can be changed for every sounding.
The EU (Figs. 7, 8) is connected to the rover with two 15p HD DSUB for communication with the rover, one for each Rover Compute Element (RCE). The interface is RS-422/UART, with a rate of 155 kilobaud. There is one 9p DSUB for the voltage supply, since the supply from the two RPAMs are ORed outside of the instrument. The EU has two RF connectors, one to the antenna and one to the calibration cable, which is coiled up inside the rover body. It is used for monitoring the health of the instrument, for tracking of long term stability and for calibration of the radar.
RIMFAX is a low power-consumption instrument. It has two power states, Idle and Sounding. In Idle only the logic is powered on, so that it can communicate and receive commands from the RCE. When commanded to do a sounding, the instrument switches on the supply voltages for the RF and analog sections. Depending on the duty cycle of the soundings, the average power consumption can be very low, less than 5 W for a typical traverse.
During thermal vacuum (TVAC) testing the power consumption during sounding was less than 9.5 W in nominal conditions (\(T = +20\) °C, voltage supply = 28 V) and a maximum of 10.2 W in worst case conditions (\(T = +55\) °C, voltage supply = 36 V). Due to the low power consumption, temperature is not an issue. In the TVAC we measured temperatures on the printed circuit boards that were 2–6 °C above the maximum temperature on the EU mounting interface. This was measured while the instrument was in an operational mode and at maximum hot temperature.
This wide bandwidth provides significant benefits: low frequencies allow us to see deep into the ground, while high frequencies give good resolution of shallow reflectors. The maximum instrumented range (i.e. the depth to which the radar is configured to measure) is determined by the bandwidth and sweep rate, and may be set between 5.4 m to almost 1 km in free space. For normalization purposes the total sweep time, and hence signal collection time, for all soundings is held constant, at 100 ms. Should a shorter sweep be required, it is run several times until 100 ms is reached, and the resulting sounding is an average of measurements made over this time. A particular window within the instrumented range can be recorded by setting the gain and the gating parameters (see later section on modes).
The EU (Figs. 9, 10) consists of three separate boards: one DC/DC converter board, one data control board and one RF analog board. The backbone bus between the boards is implemented with a vertical flexprint. Two short coaxial cables on the outside of the box are used for the RF and analog low-noise signals.
All the logic is implemented in a Microsemi RTAX2000SL FPGA. The FPGA contains logic for two UART modules, for monitoring the health of the instrument (housekeeping), for generating and controlling the output frequency sweep, for controlling the gating and for data collection.
Two communication interfaces, one for each of the rover computers, are required. The communication block receives commands from the rover and transfers back sounding results and status of the instrument, including housekeeping data. Housekeeping is done with two 8-channel, 12-bit ADCs that monitor all the voltages and the temperatures on the boards.
When the FMCW radar receives an echo from the reflector the echo is homodyned (mixed) with a replica of the transmitted waveform to produce a beat signal. The frequency of this beat signal depends on the distance (range) to the reflector and the sweep rate of the waveform. Since we want to control the instrumented range of the radar, the sweep rate must be programmable. The sweep time for a sounding is always 100 ms. This sounding is an average of several sweeps where the sweep rate can change for each mode.
The base FMCW sweep is generated by a DDS module in the FPGA. This is converted to an analog sweep through a 14-bit DAC and a 9th order smoothing filter. The synthesizer block is controlled by the FPGA and uses frequency doublers to generate the full three-octave sweep. Signals for controlling the gating and the gain in the Front End section are generated in the signal control block.
Data collection is done with a 14-bit ADC. By oversampling the requirements to the antialiasing filter are reduced, and the dynamic range can be increased to 16 bits. This is done in a decimation filter in the FPGA.
The Front End block contains LNA, PA and gain block; devices for controlling the gain; and the switches as shown in the block diagram in Fig. 5.
Several transmission line test kits with different configurations have been made to verify the performance dictated by the mission L4 requirements:
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Kit with simulated antenna, surface reflections, and reflection at 10 m depth. The requirement is met if the deep reflection is detected with at least 10 dB Signal-to-Noise Ratio (SNR). Tests on the flight model show typically a 30 dB margin to the requirement, i.e., 40 dB measured SNR for the deep reflection.
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Kit with simulated antenna and surface reflections only. The requirement is met if the surface reflection is detected and resolved from the antenna reflection, i.e., the “valley” between the antenna and surface reflections is at least 3 dB down from the peak value at the surface reflection. Tests on the flight model show typically a 5 dB margin to the requirement.
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Kit with simulated antenna, surface reflections, and a reflection at 30 cm depth, 27 dB below the surface reflection. The requirement is met if the shallow reflection is detected and resolved from the surface reflection, i.e., the “valley” between the shallow and surface reflections is at least 3 dB down from the peak value at the shallow reflection. Tests on the flight model show typically a 5 dB margin to the requirement.
Calibration Cable
The RIMFAX electronics unit has two different outputs for transmitting the FMCW signal: an antenna port, where the antenna is connected via the antenna cable running through the rover bulkhead, and the calibration port, where a 2.8-m calibration cable is connected. The calibration cable is placed close to the RIMFAX electronics, inside the rover, and is shorted at the end to produce a reflection from the end of the cable. An electronic switch controls whether the calibration cable or the antenna is used.
The main purpose of the calibration cable is to provide measurements of gain variations in the transmitter and receiver. During operations on Mars the calibration cable measurements will be performed at specific distances during a traverse, for example every 10 meters, or at specific time intervals during stationary activities, for example every hour. The reflected signal from the calibration cable termination will be used to calibrate for temperature-dependent variations in radar amplitude and timing. During instrument development and qualification testing, a dependence of the calibration-cable reflection amplitude on temperature was observed (Fig. 11). There is a 7–8 dB amplitude variation when the temperature varies between −45 °C and +60 °C. Variations in time delay with temperature are negligible in the temperature range observed.
Calibration cable measurements can be used to check for short- and long-term stability and to perform temperature compensation of RIMFAX soundings through the antenna. After some time on Mars, enough data will have been collected to do trending analysis, and instrument health may be assessed when performing new calibration cable measurements.
In addition, there are at least two other calibration-cable procedures that can be explored:
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Reduction of coherent, self-induced noise in the radar by using a passive, listening mode on the calibration port. This mode would have the same radar parameters as the mode used for soundings through the antenna.
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Compensation for phase non-linearities in the radar sweep by using the response from the calibration cable.
Antenna
In commercial GPR systems used on Earth the antenna is normally placed on the ground or very close to the ground. This has several benefits, such as good coupling to the ground, lower radiation to the surroundings and achieving a lower frequency for a given antenna size. The drawback of having the antenna on the ground is that the coupling between the antenna and ground changes as the antenna is moved.
The RIMFAX antenna (Fig. 12) is located on the rear of the Mars 2020 rover, about 60 cm above the ground (Figs. 1, 2). The antenna is an ultra-wideband bow-tie slot antenna. When designing the antenna, priority was given to having the antenna operate at as low a frequency as possible. The second priority was having as large a bandwidth as possible. The Mars 2020 project provided a particularly shaped not-to-exceed volume, which the antenna almost completely fills. Table 4 gives the major parameters characterizing the antenna.
Table 4 Parameters characterizing the RIMFAX antenna Several antenna models were developed and tested in the field. Gain and radiation patterns of the final antenna design were characterized using the EQM in an antenna measurement range. Figure 13 shows the RIMFAX antenna gain as a function of frequency from 150 MHz to 1200 MHz. The gain varies from −1 dBi to almost 8 dBi with an average of 3 dBi. Figure 14 shows the RIMFAX antenna gain patterns in the along-drive vertical plane for discrete frequencies from 150 MHz to 1200 MHz.
Radiation patterns were measured at zero degrees, +20 degrees, and −20 degrees, at 360 degrees around the antenna. This was done in both the azimuth and elevation planes giving 6 measurement planes around the antenna. These measurements were interpolated using spherical harmonic functions to give 2D radiation patterns, shown for four frequencies in Fig. 15. While only approximations of the real antenna patterns, these patterns can give an idea of the antenna footprint size on the ground. A wide radiation pattern increases the distance over which point reflectors and dipping layers may be captured in the radargram.
The integration of the RIMFAX antenna in the Mars 2020 rover structure leads to some electromagnetic interference due to radiation coupling with the rover structure and multiple reflections between rover, ground and antenna. Figure 16 shows the 3D radiation pattern of the rover-integrated RIMFAX antenna at 200 MHz, and illustrates the coupling effects with the rover structure in combination with ground properties. The antenna pattern is computed for flat homogeneous ground with a relative permittivity of \(e_{r}=4\).
The strength of radiation pattern focusing within the subsurface depends on ground material properties and subsurface structure. Simulations for the RIMFAX antenna have been performed for different ground conditions. Figure 17 shows the antenna radiation pattern at 200 MHz in cross-path and along-path vertical planes for different ground properties (assuming a flat surface and homogeneous, lossless subsurface conditions). The illustrated focusing effect increases with increasing relative permittivity for a homogeneous subsurface.
Modes of Operation
RIMFAX is designed to operate in different modes in which radar parameters are set to optimize data collection for different subsurface conditions. The RIMFAX gating makes it possible to omit the recording of close-range reflections, typically from the antenna and surface, which would otherwise limit the dynamic range. The removal of these reflections makes it possible, when desired, to increase the radar’s gain to capture weak subsurface reflections. Shifting the receiver dynamic range window particularly to each mode effectively increases the radar’s total dynamic range when soundings from different modes are considered together, see Fig. 18.
The nominal plan for operation on Mars is to collect soundings from each of three modes every 5-10 cm along the rover traverse, where each mode is designed to capture data from different depths:
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Surface Mode
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Shallow Mode
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Deep Mode
Together, these modes extend the dynamic range of RIMFAX up to 62 dB above the dynamic range of a single mode, giving an approximate total dynamic range of 160 dB. For stationary measurements, the dynamic range can be further increased by doing a Long Integration Sounding (LIS), in which a few to several hundred soundings are summed together (on the rover RCE) to increase the processing gain.
Instrumented range and resolution can also be selected within each mode to optimize measurements based on subsurface composition and penetration depth. This is accomplished by choosing combinations of frequency range (i.e., bandwidth) and sweep time of the waveform over the frequency range, which also results in different data volumes (Table 5).
Table 5 RIMFAX instrumented range for a wave propagating in free space as a function of bandwidth and sweep time. Data volume per sounding given for each sweep time Typically, a high resolution using the full bandwidth is selected in the shallow mode, when most frequencies will be able to penetrate to the full, shallow instrumented range. In the deep mode, a narrower bandwidth limited to the lower part of the frequency range is used, and there is a tradeoff between data volume (based on number of samples per sounding) and penetration depth. Choices of sweep time are limited to the 8 values in Table 5. Bandwidth can be set between 0 and 1050 MHz (i.e., not limited to values in Table 5) within the frequency range 150-1200 MHz.
For sweep times less than 100 ms, sweeps are repeated and signal is averaged until the total collection time period reaches 100 ms. This practice ensures that the processing gain is equal for each sounding, independent of radar configuration.
In addition to nominal, active operation, RIMFAX can be operated in passive modes with the transmitter off but the receiver on, connected to either the antenna or the calibration cable. An ambient spectrum can be measured through the antenna, or an estimation of self-induced noise can be made with the calibration cable and used as an input to signal processing to increase system performance.