# MISTRAM

MISTRAM (MISsile TRAjectory Measurement) was a high-resolution tracking system used by the United States Air Force (and later NASA) to provide highly detailed trajectory analysis of rocket launches.
A "classic" ranging system used since the 1960s uses radar to time a radio signal's travel to a target (in this case, the rocket) and back. This technique is accurate to approximately 1%. The accuracy of this technique is limited by the need to create a sharp "pulse" of radio so that the start of the signal can be accurately defined. There are both practical and theoretical limits to the sharpness of the pulse. In addition, the timing of the signals often introduced inaccuracies of its own until the introduction of high precision clocks.
In MISTRAM, this was avoided by broadcasting a continuous signal. The basic system used a ground station located down range from the launch site (at Valkaria, Florida and Eleuthera Island, Bahamas) and a transponder on the vehicle. The tracking station transmitted an X-band carrier signal which the transponder responded to by re-broadcasting it on another (shifted) frequency. By slowly changing the frequency of the carrier broadcast from the station and comparing this with the phase of the signal being returned, ground control could measure the distance to the vehicle very accurately. Even with the analog circuitry used, MISTRAM was accurate to less than 1 km at the distance of the Moon.
To meet more stringent ballistic missile test requirements, several systems were designed, procured and added to the US Air Force Eastern Range's instrumentation in the 1950s and 1960s. The AZUSA continuous wave tracking system was added to the Cape in the mid-1950s and Grand Bahama in the early 1960s. The AN/FPS-16 radar system was introduced at the Cape, Grand Bahama, San Salvador, Ascension and East Grand Bahama Island between 1958 and 1961. In the early 1960s, the MISTRAM (Missile Trajectory Measurement) system was installed at Valkaria, Florida and Eleuthera island in the Bahamas to support Minuteman missile flights.

## Principles of operation

MISTRAM is a sophisticated interferometer system consisting of a group of five receiving stations arranged in an L shape. Baselines are 10,000 ft (3,000 m). and 100,000 ft (30,000 m). The central stations contains a simple tracking antenna. The distance from the central station to the furthest remote station is approximately 100,000 ft (30,000 m). Antennas at the central station and the four remote stations follow the flight of a missile and receive signals from its radio beacon.
In the MISTRAM system, the ground station transmits a carrier to the spacecraft and the spacecraft returns this carrier on another frequency. The ground station sweeps the uplink carrier and the phase shift of the downlink carrier is measured (counted) while it is being swept. The round trip delay time can be shown to be T=(delta-phi)/(delta-f); where delta-f is the frequency shift (~4000 Hz for example) and delta-phi the measured phase shift in radians. Suppose T=2 sec (~lunar distance) then delta-phi=8000 radians, i.e. (8000*180)/Pi. Assume also that the phase can be measured with an accuracy of 1 deg, i.e. means that the range can be determined with a precision of (600000*1*Pi)/(2*8000*180)=0.33 km. An additional carrier quite near the one described above that remained fixed in frequency and used as a phase reference. That carrier and the two frequencies (that the sweep changed between) were generated as multiples of the same basic oscillator frequency. In this way, all signals would have a fixed phase relationship, as was done in MISTRAM. A similar technique was used in the Soviet Luna 20 spacecraft at 183.54 MHz to survey the Moon's surface.
MISTRAM was a multistatic long baseline radar interferometer developed for precision measurements of missile trajectories at the US Air Force Eastern Test Range. Multistatic radar systems have a higher complexity with multiple transmitter and receiver subsystems employed in a coordinated manner at more than two sites. All of the geographically dispersed units contribute to the collective target acquisition, detection, position finding and resolution, with simultaneous reception at the receiver sites. In a simpler sense, multistatic radars are systems which have two or more receiving sites with a common spatial coverage area, and data from these coverage areas are combined and processed at a central location. These systems are considered to be multiple bistatic pairs. Multistatic radar systems have various uses, including prevention of jamming and anti-radar munitions.
Although this method of measurement is not new, either in theory or in practice, the unique manner in which the techniques were implemented in the MISTRAM system permit measurement of vehicle flight parameters with a degree of precision and accuracy not previously obtainable in other long baseline trajectory measurement systems. To a large extent, this was accomplished by a unique method of transferring intact the phase information in the signals from outlying stations to the central station. A two-way transmission path on each baseline was used to cancel out uncertainties due to variance in ground geometry and temperature.
The transmitter at the master or central station generates two CW X-band frequencies, nominally 8148 MHz and 7884 to 7892 MHz. The higher frequency (the range signal) is very stable, whereas the lower frequency (the calibrated signal) is swept periodically over the indicated range. The airborne transponder receives the signals, amplifies & frequency shifts them by 68 MHz, and retransmits back to earth. The Doppler shift is used to determine velocity.
The Florida MISTRAM system had 100,000 ft (30,000 m) baselines (~18.9 mi.) with design performance as follows:
Range of Operation :
* 0 to 50,000 ft/s (0 to 15,240 m/s)
* 0 to 750 ft/s$^2$ (0 to 229 m/s$^2$)
* 360 deg
* 5 to 85 deg
* 20 to 1,000 mi (1,600 km)
Measurement Uncertainties (RMS) :
* 0.4 ft (0.12 m)
* 0.3 ft (91 mm)
* 0.02 ft/s (6.1 mm/s)
* 0.002 ft/s (0.61 mm/s)
* 1 2 one-half second of smoothing.

## MISTRAM transponder

The Transponder receives the two phase-coherent X-band cw signals transmitted from the ground equipment. A klystron with a 68 MHz coherent frequency offset is phase locked to each of the received signals. These klystrons provide the phase coherent return transmission. There are two separate phase locked loops, continuous and calibrate.

### MISTRAM "A" Model Transponder Specifications
   ### Operating Frequencies (Nominal)

       Continuous - 8148 MHz received
          8216 MHz transmitted
       Calibrate - 7884 to 8992 (swept) received
          7952 to 7960 (swept) transmitted
    Input power - 5.25 amps maximum from 25.2 to 32.2 V DC
    Output power - 500 mW min/channel
    Warmup time - 1 minute maximum at 0 degrees Celsius or above
    Acquisition Time - 0.1 second maximum
    Phase coherence - 256 MHz - within 45 degrees (0.25 foot range error max.)
       8 MHz - within 2 degrees (0.36 ft (110 mm) range error max.)
    Dynamic range = -39 to -105 dBm

   ### Physical characteristics

       Size: 8.9×12.4×5.4 in (230×310×140 mm) (including mounting projections)
       Waveguide ports: Two reduced height X-band (1 Xmit; 1 Rcv)
       Life: 3 years. Operating 500 hours.

## M-236 computer

MISTRAM was used on a number of projects, including the ATLAS missile system, other large military radar projects in the 1960s, and Project Apollo, and the Air Force required a data-collection computer to be installed in a tracking station downrange from Cape Canaveral. The data would eventually be shared with the 36-bit IBM 7094 machine at the Cape, so the computer would likely have to be 36-bits as well (why they didn't use an IBM 7094 is something of a mystery). General Electric built a machine called the M236 for the task.
According to Dr. Neelands, certain military people involved in the project were adamant about not relying on "computers", therefore this "information processor" was developed. This high speed 36-bit minicomputer was developed by the GE Heavy Military Electronics Department (HMED) in Syracuse, New York. The M236 was designed for real-time processing in a radar-based missile flight measurement system and lacked some general purpose features, such as overlapped instruction processing, the floating point operations needed for Fortran, and operating system support features, such as base and bounds registers. The M-236 computer was developed for the US Air Force Cape Canaveral Missile Range, and installed at Eleuthera (Bahamas). The 36-bit computer word length was needed for radar tracking computations and for the required exchange of data with an IBM 7094 located at the Cape. The chief architect of the M236 was John Couleur.
The M236 being a component of a military project, rather than a general-purpose computer, conformed to the desires of Ralph J. Cordiner, Chairman & CEO of General Electric from 1958 to 1963, not to go into competition with IBM by selling general-purpose computers. In addition, development expenditures would be paid for by the U.S. government. However, the GE-225, developed as a process control computer, had become a profitable general-purpose computer; GE's 1950 business plan included development of more computer systems.
The debate in favor or against subsequent development of an M236-derived general purpose computer took more than one year and concluded finally with the victory of the M2360 project proponents in February 1963. The GE upper management was impressed by the opportunity to save the rental fees from IBM leased equipment used internally by GE (the cost of development of the new project was estimated to be offset by only one year of rentals). The other GE departments were not very impressed and were reluctant to jettison their IBM machines. The M2360 project became the GE-600 series, developed by a team led by John Couleur.

## Applications

MISTRAM was used in the development and testing of inertial guidance system for the Minuteman ballistic missile, and subsequently was used for testing the Gemini spacecraft and the Saturn V launch system. With the decommissioning of the MISTRAM X-band interferometer at the Air Force Eastern Test Range in 1971, the flight-test community did not have a conventional ground-based range-instrumentation system better than, or comparable to, the inertial guidance systems whose performance was being assessed. This was true in the intervening years preceding GPS development and deployment.

## Minuteman Inertial Guidance System testing

The first Minuteman missiles (MM I) were launched in the early 1960s from the Air Force Eastern Test Range (AFETR) and were tracked with the AZUSA CW tracking system. The comparatively low quality of the AZUSA tracking data, combined with the rudimentary stage of evaluation techniques, allowed only estimation of the total error; no isolation of individual inertial measurement unit (IMU) error sources was possible.
Subsequent development of improved tracking systems, UDOP and MISTRAM, at AFETR yielded much higher quality velocity tracking profiles. During the Minuteman II flight test program, significant improvements were made in the post-flight evaluation of the IMU accuracy. The most important of these improvement was the introduction of maximum likelihood error estimation using the Kalman algorithm to filter the velocity error profile. Continued improvement of the UDOP and MISTRAM tracking systems and refinement of the evaluation techniques during the Minuteman III flight test program made it possible to gain considerable insight into NS-20A1 IMU error sources.

### Accuracy evaluation

One of the major problems in trajectory and orbital estimation is to obtain a realistic estimate of the accuracy of the trajectory and other important parameters. In the orbital case, some of the parameters which may not be solved for are geopotential constants, survey, etc. These factors will affect the total uncertainty in the orbit and, of course, ephemeris predictions. A statistical technique was developed that performs a variance-covariance propagation to obtain accuracy estimates based on random and unmodeled errors. An example of the unmodeled error propagation in the MISTRAM system was given for the Geos B satellite.

## Key personnel

Dr. Lewis J. Neelands has been called an engineers' engineer by the people who worked with him when he was with the General Electric Corporation Electronics Laboratory and Heavy Military Electronics Department (HMED) in the 1950s and early 60's. His contributions to missile guidance and telemetry made him a key figure in the Altas Guidance and MISTRAM programs, two of HMED's most challenging and successful efforts.
In retrospect, Neelands said he did not get his greatest satisfaction from his work on the Atlas guidance (about which he said,"it was successful because of a bunch of other people who put it together and made it work"). It is MISTRAM, missile tracking and measuring system, that he remembers with greater pride. "Nothing could match it at the time for the complexity and precision it required," he recalls of the real-time measuring system for precisely tracking a missile's flight. One of his colleagues remembers, "In 1960 he solved the elusive problem of trajectory measurement -- of bringing together at one place for processing, the signals received from widely spaced receiving stations while overcoming inaccuracies due to the propagation anomalies in the medium connecting the stations. A related problem that Lew solved was how to do this using frequencies sufficiently high to develop the required angular measurement accuracy without measurement ambiguities and without requiring a large number of receiving stations to resolve these ambiguities." He conceived a system of unprecedented accuracy. The technical work on the Hermes A-3 rocket guidance was headed by Dr. Lewis J. Neelands and resulted in a successful system with the know-how later transferred to another ICBM guidance system known as the 8014 project and also to the highly accurate Mistram instrumentation equipment, all were based on use of a microwave interferometer. Dr. Neelands died at his home in Gainesville Florida on July 17, 2007, at the age of 91.