The present invention relates in general to communication systems and subsystems thereof, wherein either the transmitter terminal and/or receiver terminal may be a mobile platform, with possibly high dynamic motion and possibly non-zero and/or non-constant acceleration between the transmitter terminal and the receiver terminal, such as, but not limited to the satellite communication system disclosed in the above-referenced '868 application. The present invention is particularly directed to an (obscuration) ‘information’ or ‘knowledge’-aided mechanism for selecting which one of a plurality of spatially diverse antennas, that have respectively different views of the transmitter (e.g., satellite) is to be used to receive downlink communication signals from the transmitter, for the purpose of enhancing the receiver terminal's ability to perform time recovery and frequency recovery of a time and frequency hopped data signal, and thereby enable the receiver to properly demodulate the received signal.
Successful operation of a communication system requires time and frequency synchronization between the transmitter and receiver. In order to maximize the availability of link resources for the transport of information, it is desirable that link resources used for synchronization be minimized. In a system wherein there is relative motion between the transmitter and receiver, such as in a satellite or airborne communication system, cell phone system, and the like, this problem becomes more complex, due to kinematic parameters associated with motion, particularly, acceleration by either or both of the transmitter or receiver.
There are somewhat independent payload timing errors/jitters 11, 21, 31 and delays or offsets 12, 22 and 33 between the L, M, and X signals, as they are processed in slightly different manners prior to arriving at their transmit antennas 13, 23 and 33. All of the transmit signals (L, M and X) undergo a common Doppler shift, which is governed by the motion of the satellite 1 relative to the receive terminal 3 on the ship 2 which, as noted above, is dynamic. The Doppler shift for the individual L, M, and x signals is dependent on the transmitter hop frequency for each signal and the relative line-of-sight (LOS) velocity between the transmitter and receiver platforms.
As a result, for frequency-hopped signals, the signals will appear to have time-varying Doppler, which significantly complicates timing and frequency acquisition using conventional phase locked loop (PLL)-based designs. Further, where there is acceleration along the LOS (which occurs in the ship-borne receiver environment of the system shown in
In order to receive and recover data communication signals from the satellite downlink, it is necessary that the receiver terminal have some a priori knowledge of the downlink signal it is to acquire. The receiver terminal is typically provided with nominal knowledge of the timing and transmit frequency of a synchronization pulse for a given remote data source, by some ancillary facility and knowledge of the pre-planned time/frequency hopping patterns (e.g. TRANSEC). Knowing the time and frequency hopping plan for each transmit source allows the receiver terminal to nominally know when, and at what frequency, to look for synchronization hops, which are the resource exploited by the receiver terminal to make time and frequency error measurements, and adjust the receiver terminal's time and frequency control, per transmitted communication signal, so that data may be recovered. In a typical application, a set of synchronization hops per signal may be reserved in the link. In the three transmitter source example of
For satellite downlink systems, the orbital path of the satellite is governed by well-known physics, which allows the receiver terminal's associated antenna positioning subsystem to effectively continuously maintain the boresight of the receiver terminal antenna pointed at the satellite. Given knowledge of the direction of the incoming signal, a pseudo-range maintained in the receiver terminal is able to provide a data for locating or determining the range to the transmitter. Pseudo range may be derived from initial nominal range knowledge available from an ancillary source, and is continually updated with range error measurements derived from time error measurements made from synchronization resources.
The receiver terminal must also account for relative LOS motion between itself and the (assumed at rest (geosynchronous) satellite, especially where the receiver terminal is mounted on a dynamic platform, such as a ship. The relative LOS motion manifests itself as time and frequency errors in the downlink signal that is to be tracked. To account for this motion, the receiver terminal may be supplied with a number of communication and position/motion parameters associated with the satellite and/or the receiver terminal itself (e.g. shipboard navigation data), that are intended to enable the receiver terminal to make timing and frequency corrections, so that a respective downlink signal may be demodulated and data recovered. However, using a ship's navigation system to compute corrections that compensate for the range (timing) and velocity (frequency) errors in the downlink signal induced by the movement of the ship has shortcomings, including the potential absolute and time-varying latency in receiving the ship's navigation data. In addition, the use of global positioning system (GPS) data would be inadequate, since data for time and frequency corrections must be exceedingly accurate, especially if the data source to be tracked has a relatively high data rate, not to mention the negative impact on receiver complexity.
In a satellite downlink communication system, synchronization hops for each source will arrive at the receiver terminal at a rate that is dependent on the source type and in a non-periodic manner. For example, in the illustrated system, synchronization hops transmitted by L source 10 may arrive at an average rate that is a multiple of those of M source 20, and the inter-pulse arrival times of the L, M, and X streams, respectively, may be non-constant due to time-hopping. As pointed out above, PLL-based mechanisms for deriving timing and frequency information used for demodulation cannot readily accommodate such measurement sequence variations and will fail when applied to time and frequency hopped sync signals, particularly in environments subject to kinematic influences that include acceleration.
Although prior art literature has suggested that Kalman filters may be used in the track state of a communication link, none has addressed the relationship between communication synchronization parameters (time and frequency offsets) and kinematic variables, which is the basic problem in a satellite downlink environment, where time difference and range change rate are unknown. In addition to PLL-based proposals and limited use Kalman filter methodologies, other, non-linear, ‘Kalman-like’ techniques, containing banks of matched non-linear filters - one for each possible frequency (that are highly stylized and matched to individual problems)—have been proposed. However, such schemes will not work in practice for the time and frequency acquisition and tracking problem encountered in a dynamic communication system of the type described above, as their hardware implementations would occupy an unacceptable amount of semiconductor real estate to fit within a few ASICs, and would consume an extraordinary amount of power. Moreover, if implemented digitally, their associated processors could not process data fast enough to realize a viable solution for data rates of practical interest.
These and other drawbacks of conventional time and frequency recovery and tracking approaches for a system environment subject to kinematic (including acceleration) inputs are successfully remedied by the time/frequency tracker (TFT) module disclosed in the above-referenced '868 application, which employs a Kalman filter, functional parameters of which are derived in accordance with receiver terminal-associated kinematic measurements. These kinematic measurements include range and velocity measurements derived from timing and frequency errors measured on selected synchronization hop resources, the times of transmission and frequencies of which are a-periodically, or pseudo randomly, hopped within one or more signals transmitted from the satellite. These timing and frequency error measurements, as well as acceleration measurements, are combined into kinematic data vectors, which are used to update a Kalman filter kinematic state vector. The Kalman filter kinematic state vector provides updated kinematic state (time/frequency) estimates to a kinematic state estimate processor, which uses the Kalman filter output data to adjust the sampling clock for the receiver terminal processor s associated analog-to-digital converter within the demodulator, to achieve demodulation and recovery of data with improved accuracy.
The manner in which these kinematic variables manifest themselves in the satellite communication system of
There is an additional term, which is additive to the total LOS range R′LOS, that is induced by the time varying motion of the receiver terminal, which causes a time varying range of R′TERM. This motion is largely unknown directly, save for possibly the measurement of acceleration. The receiver platform (ship 2) employs a measurement subsystem (such as an accelerometer), that is coupled with the antenna and provides a measure of LOS acceleration—which is approximately equal to double derivative of the boresight range R′LOS.
The frequency error measurements and timing error measurements used by the Kalman filter-based time and frequency tracker module disclosed in the '868 application are conducted with respect to a plurality of synchronization pulses per signal (with the error measurements being converted into kinematic equivalents), as well as a kinematic measurements associated with terminal motion. In this way, frequency errors will manifest themselves as velocity errors, which correspond to the error in the rate of change of range R′, and time errors will manifest themselves as LOS range errors. The frequency error may be expressed as fERR=γfo where, fo is the nominal transmit frequency and γ, which is associated with relative motion between the ship and the satellite, is the ratio of the current LOS velocity to the speed of light ‘c’. Thus, frequency error can be used to derive a velocity measurement once the nominal transmit frequency is known.
Attention is now directed to
As detailed in the '868 application, the downlink signal may comprise a continuous stream (such as single frequency-hopped carrier) of multi timeslot data frames, selected sub-frames of which contain one or more synchronization hops, for which time and frequency measurements are available. For the purposes of Kalman filter update processing, the period defining ‘simultaneity’ is the pseudo sub-frame duration or Kalman update cycle. Synchronization hops, for which time and frequency measurements are available, are selectively inserted into the time slots of a data frame in a pseudo random manner. As pointed out above, in addition to relying upon timing and frequency errors, derived from the synchronization hops, the Kalman filter of the receiver terminal's time/frequency tracker (TFT) module relies upon kinematic data, such as that sourced from an accelerometer subsystem aligned with the boresight of the receiver terminal's antenna, which is continuously ‘pointed’ at the satellite, so that timing and frequency errors derived from the synchronization hops are more accurate.
Referring again to
Because its operation kinematic domain-based, the Kalman filter operator 303 enables the tracking processor to continuously track, with high accuracy, time and frequency variations in one or more hopped synchronization signals, that are conveyed within pseudo randomly occurring time slots of one or more forward link signals from the transmitter. The Kalman filter is thereby able to provide the basis for synchronization all timing epochs and frequencies needed to demodulate the received signals in a multi-user satellite communication system.
Configuration and operational characteristics of the Kalman filter operator 303 are established by configuration commands and parameters supplied by a (track state manager/supervisor) control processor 304, to enable the Kalman filter to operate with a prescribed of satellite-receiver terminal configuration. The track state manager 304 is also coupled to receive kinematic state estimates produced by Kalman filter operator 303. The track state manager 304 monitors these estimates to determine whether the performance of the Kalman filter operator 303 is acceptable. If the monitored estimates produced by the Kalman filter operator 303 indicate a performance level (kinematic state estimate error) that has departed from a prescribed application dependent tolerance, the track state manager processor 304 provides configuration adjustment commands (i.e. controls the state error covariance matrix, so as to increase the Kalman gain), as necessary, to bring the performance of the Kalman filter operator 303 back with acceptable levels.
A timing and frequency error detection subsystem 305 is coupled to receive data representative of the sampling of detected time- and frequency-hopped synchronization pulses from programmable demodulator 301. Time and frequency error detection subsystem 305 scales the errors to form kinematic measurements of range and velocity error. Range errors are scaled time errors, where the conversion is given by where the constant c is the speed of light. Velocity errors are scaled frequency errors. As with Kalman filter operator 303, configuration commands and operational parameters for the timing and frequency error detection subsystem 305, as well as those for a frequency error fusion operator 306, are provided by track state manager/supervisor 304.
The timing and frequency error detection subsystem 305 contains a plurality N of timing error detectors: Timing 1, . . . , Timing N; and a plurality N of frequency error detectors: Frequency 1, . . . , Frequency N. A respective timing error detector, Timing i, is associated with a particular data rate synchronization pulse, and is operative to conduct timing error measurements on a specified ith one of N synchronization pulses, with the value τERRi of a timing error measurement for that sync hop pulse being coupled to the Kalman filter operator 303. Likewise, a respective frequency error detector, Frequency i, of the timing and frequency error detection subsystem 305, is operative to conduct frequency error measurements on a given ith one of N sync hop pulses, with the value fERRi the frequency error measurement being coupled to the frequency error fusion operator 306.
Frequency error fusion operator 306 performs maximum likelihood (ML)-based fusion of frequency (velocity) measurement data, in order to exploit the availability, from multiple sensors (frequency error detectors 1-N), of information that represents the same types of measurements (e.g., Doppler). Kalman filter operator 303 accepts these measurements and converts the time and frequency errors into equivalent pseudo-range and pseudo-velocity. Between measurement cycles, the Kalman filter extrapolates pseudo-range, pseudo-velocity and acceleration state variables, so that, when measurement updates are available, the Kalman filter will update its estimates to the minimum mean square error (MMSE) optimum value.
Filter state variables of pseudo-range, pseudo-velocity, and acceleration are directly converted to timing and frequency error control signals, which are employed to update the demodulator 301, which then drives frequency and time errors to zero for each signal, to minimize bit error rate. Control signals are derived by using linear blending, as prescribed by Kalman filter equations, of measured state variables (i.e. pseudo-range, pseudo-velocity, and acceleration) and predicted measurements of state variables at a given time, and the current state estimate from the Kalman filter.
Now, although a communication system employing the Kalman filter-based time/frequency tracker (TFT) module of the '868 application is capable of performing time and frequency acquisition and tracking in the presence of kinematic variations, still, in order to do so successfully, it's view of the satellite must not be substantially impaired (e.g., visually obstructed). Unfortunately, such an unobstructed view cannot be guaranteed in every environment in which the receiver may be used. One issue related to obstruction is that the reception system might become overly sensitized (e.g. AGC—automatic gain control—is increased) allowing numerous “false detects” to occur. The “false detects” would be accepted as valid measurements of time and frequency error and subsequently “de-tune” the reception system.
As a non-limiting example, as diagrammatically illustrated in
In accordance with the present invention, this obscuration problem is effectively circumvented by employing a spatially diverse antenna arrangement, that places multiple antennas at spaced apart locations affording different views of the transmitter (satellite), in combination with a reduced complexity, (view of the transmitter obscuration) ‘information’ or ‘knowledge’-aided mechanism to select which one of these spatially diverse antennas is to be used by the receiver to receive downlink communication signals from the satellite.
Such a visibility obscuration-based function may comprise a two-dimensional (e.g., elevation (EL) and azimuth (AZ)) spatial map of quantized visibility values. In such a map, at (EL and AZ) spatial locations where antenna visibility to the transmitter (e.g., satellite, cell tower, and the like) is unobscured, the quantized visibility value may be set at a prescribed (‘clear view’) value (e.g., unity), representative of the fact that the antenna has an unobstructed view of the transmitter. As a consequence, if that antenna is currently being employed by the receiver terminal to downlink signals from the satellite, it may continue to be used for this purpose. On the other hand, at a spatial location where antenna visibility to the transmitter (satellite) has been measured to be obscured (e.g., owing to the presence of a physical object, such as a ship's superstructure), the quantized visibility value is set to a different value (e.g., zero), representative of the fact that the antenna cannot see the transmitter. In such a case, another antenna, whose quantized visibility map indicates that it has an obstructed view of the transmitter is selected by the receiver terminal. It is reasonable to allow various values in the continuum of zero to unity to indicate any conceivable obstruction condition from full obstruction to no obstruction.
Because the antennas are spatially diverse, their respective ranges to the satellite will differ (albeit slightly)—resulting in differences in times of arrival of signals downlinked thereto from the satellite. These differences in arrival times at the respective antenna, will, in turn, produce differences in timing and frequency error measurements that are used to update the demodulator's Kalman filter kinematic state vector. Such time of arrival differences, and resulting error measurement differences, are taken into account by performing timing and frequency error corrections, as necessary, based upon antenna boresight pointing data supplied from each antenna's positioning subsystem.
More particularly, antenna pointing information, together with knowledge of the spatial locations of the antennas, is used to generate geometric-based offsets between the receive apertures. These offsets are to be part of the correction when a switch or change-over between the antenna systems is effected, in response to an obscuration of the LOS of the currently employed antenna. As a result, whenever an antenna change-over takes place, timing and frequency measurement data derived from the downlinked signal being supplied from to the receiver terminal will be appropriately ‘corrected’ to account for the spatial diversity, and thereby maintain its Kalman filter-based time and frequency tracker module ‘in-sync’ with the transmitter (satellite). The system also has provision for non-geometric corrections such as cable length differentials between the antenna feeds to a common reference point. This is a static time-base correction and is independent of LOS to the satellite.
Transitions between the unobscured and obscured regions of the spatial may have ‘intermediate’ quantized values that fall between those representative of the unobscured and obscured regions. Where the antenna's boresight to the transmitter intercepts such transition regions, if there is another antenna, whose quantized visibility map indicates that it has an obstructed view of the transmitter, that other antenna would be selected by the receiver terminal. However, if the boresight to the transmitter for each antenna intercepts a transition region, an alternative arbitration mechanism, such as, but not limited to, length of time in a given state or whether the previous state indicates that the antenna boresight had been in an obscured region, but was transitioning to an unobscured region, may be used to select which antenna is to be used. In an optimally configured system, the number of antennas and their associated visibility maps are such that, even though each antenna may experience some degree of blockage, a composite of the obscuration maps for all of the antennas will be effective to provide complete hemispherical coverage.
Before describing, in detail, the structure and operation of the ‘knowledge’-aided antenna selection mechanism in accordance with the present invention, it should be observed that the invention resides primarily in a prescribed arrangement of conventional communication signal collection, processing circuits and components, and supervisory digital control circuitry that controls the operations of these circuits and components, and not in the details thereof. Consequently, in the drawings, such circuits and components, and the manner in which they are interfaced with various communication equipments have, for the most part, been illustrated by readily understandable block diagrams, which show only those specific details that are pertinent to the present invention, so as not to obscure the disclosure with details which will be readily apparent to those skilled in the art having the benefit of the description herein. Thus, the diagrammatic illustrations are primarily intended to show the respective functionalities and operational effects of the various components of the invention in convenient functional groupings, so that the present invention may be more readily understood.
Attention is now directed to
In accordance with the invention, the antenna selection switch 602 is operative, under the control of a visibility (to-the-transmitter) obscuration map-based controller 610, to selectively couple the input to the receiver terminal's front end demodulator unit to whichever one of the antennas has been determined to have the ‘best’ view of the satellite, based upon an examination of the obscuration maps of all the antennas. For this purpose, controller 610 contains or is coupled to an antenna boresight obscuration database 611. Controller 610 is also coupled to monitor the boresight pointing parameters supplied by the antennas' positioning subsystems 612.
The antenna boresight pointing data supplied from the antenna positioning subsystems are also supplied to the receiver terminal 601, in order to enable the receiver terminal to derive the spatial diversity-based offsets, through which timing and frequency measurement data derived from downlinked signals received by an antenna other than the one currently being employed may be ‘corrected’, when switching to that other antenna, so as to maintain the receiver ‘in-sync’ with the satellite. The manner in which these spatial diversity-based offsets are derived will be detailed below with reference to
The derivation of the geometric-based correction is best understood as described below. The manner in which the spatial diversity-based correction values are derived by the terminal 601 may be readily understood by an examination of the geometry diagram of
As such, a first antenna position vector Pi may be defined between the reference location and antenna Ant1, a second antenna position vector p2 may be defined between the reference location and antenna Ant2, and a base offset vector p12 may be defined between antenna Ant1 and antenna Ant2. Also, a first LOS vector uLOS(1) may be defined between antenna Ant1 and the satellite, while a second LOS vector uLOS(2) may be defined between antenna Ant2 and the satellite. Additionally shown in
For a given antenna, all gimbal axes (for a particular antenna) intersect at a common point, which is assumed to be the origin of the base coordinate system.
The unit vector components are assumed “pre-corrected” by good installation practices and have biases removed. Hence we assume that the 1) x-y planes describing each base (i.e. antenna) coordinate system form parallel planes, 2) the x-axes between base coordinate systems are parallel, and 3) the other axes of the base coordinate systems are parallel and aligned in the directions of the ship's reference system (i.e. x-axes parallel to the bow, y-axes out the starboard side, z-axes down toward “center of earth”)—otherwise, the two LOS vectors are not “in” the same reference system, as the offset vector p12 and a dot product would be meaningless, since two vectors to be “dotted” must be defined using a common coordinate system.
It may be noted that p12·u=(p1−p2)·u=p1·u−p2·u, and for the individual products to make sense a common co-ordinate frame (with the exception of translation) is required). In practice the LOS vectors are, to a good approximation parallel with respect to either base coordinate frame (i.e. angular offsets are negligible).
Continuing with the non-limiting ship example, the actual ship's reference point need not be fixed, but simply known (at some time prior to acquisition) so that the base offset vector p12 can be computed. Further, let us assume that antenna Ant 1 is the reference antenna for range lead and range rate measurements.
As noted above, the axes attached to the antenna bases define a local reference coordinate system, using the respective base coordinate systems. The local base systems have their origins defined using the ship's reference point (origin: (0,0,0)). The exact components of the origins in the ship reference system are not necessary; all that is required is the vector difference (i.e. the antenna base offset vector), for computation of the predicted terminal aperture range and range-rate offset.
As will be detailed below with reference to
The manner in which the correction processor computes the range lead or differential Δ of antenna Ant1 relative to antenna Ant2 is as follows.
As set forth above, and shown in
p12=p1−p2 (computed in the ship reference frame)
The geometric range lead (e.g. shorter path length to satellite) of antenna Ant1 with respect to antenna Ant2 (a greater lead is a more positive value of Δ) with the LOS unit vector given in either antenna Ant2's base coordinates or the ship reference coordinates (e.g. angular errors are negligible), may be expressed as:
The predicted range correction depends on which antenna is providing the measurement and which antenna is blocked. The geometrically predicted range correction may be defined by the following Table 1.
Notes:
A negative lead is a positive lag.
Comments (last column) are for reference only when Ant1 is closer to the satellite than ANT2.
Corrections are proper regardless of orientation and naming cconvention of the antennas.
Geometric range lead requires knowledge of u and p12
The end result is that when the geometric range lead measurements are derived from (unblocked) antenna Ant2, the sign is inverted, otherwise (i.e. when antenna Ant1 is unblocked), the sign is left unaltered.
Lastly, if there is an installation (path length) difference L between the path length for antenna Ant2 and antenna Ant1, namely:
L=path length for Ant2−path length for Ant1
then, the ranges between the apertures are related by:
R2=R1+Δ12+L
It should be noted that the above ranges are not necessarily the range states carried in the Kalman filter, as the former relate to actual propagation paths. The Kalman range states are modified with time-updates converted to range corrections (e.g. scaling by the speed of light). The range offset term involving Δ12 and L is true, but the Kalman state for range is not used in slaving one demodulator to another—it is the actual time offsets that are used. Physically, the range states are meaningful within a demodulator only as differences over time for adjustments in a no-slaving condition. However, as mentioned the range offset term involving Δ12 and L give a good approximation to the timing offset needed to compensate a blocked path.
The range rate offset {dot over (Δ)} induced by the antenna placement geometry may be determined by differentiating the above vector dot products, namely:
Therefore,
{dot over (R)}2={dot over (R)}1+{dot over (Δ)}12+{dot over (L)}={dot over (R)}1+{dot over (Δ)}12
The offset {dot over (Δ)}12 is the (total) range-rate difference, defined as antenna Ant2's LOS range rate minus antenna Ant1's range rate, due to geometric considerations on the LOS due to all motion (i.e. three degrees of freedom translation and six degrees of freedom micro-motion) components.
The required frequency compensation may be derived as follows:
In the above expression, the negative sign is due to the Doppler shift (relative to a nominal freq or freq on the unblocked antenna) required for an opening {dot over (Δ)}12>0 and closing {dot over (Δ)}12<0 motion relative to the satellite. The range rate correction may be defined by the following Table 2.
Notes:
A negative rate of change in range (i.e. closing or decreasing distance) induces an ‘up’-shifted frequency (i.e. positive Doppler).
Comments (last column) are for reference only, when Ant1 is closer to the satellite than Ant2.
Corrections are proper regardless of orientation and naming convention of antennas.
Geometric range rate requires knowledge of u and p12
In order to estimate the geometrically induced range-rate of change, the time derivative of the LOS unit vector is needed. In the present example, this is not directly available. Hence it requires the use of a numerical approximation. A non-limiting example of such an approximation is:
A principal feature is that the time order of the unit LOS vectors can be component-wise differenced to produce an estimate of the range-rate vector. This is a reasonable approximation, as the LOS vectors are part of accelerometer measurement data, referred previously (which may be provided at nominally 10 ms intervals, for example, which is considerably shorter than micro-motion effects). The LOS vectors are assumed available from the antenna pointing unit control hardware.
The differentiation shown above may be defined by a three-point (end difference) formula. The value of this approach is that no pre-filtering on the LOS vectors is needed prior to the derivative computation. Also, such a three-point formula provides some measure against “noise spikes” by increasing (doubling) the timebase for slope computation (versus simply differencing successive measurements), while not introducing a lag in computation. Of the finite difference formulations available, we propose the end difference formula because it provides the most recent estimate of the derivative using all the data currently available. This serves to maintain a “current value” (e.g. no more than 10 ms old, assuming the data arrives on nominally 10 ms intervals.
The three-point right-end difference (Kreyzig, Advanced Engineering Mathematics, 5th ed, Chapter 19) formula is given by:
Therefore, to approximate the first-derivative of the function ƒ at the point xk, samples spaced at h=Δt=10 ms are used, resulting in:
In the course of executing the geometric projection calculators, described above, the following should be noted.
As pointed out above, the range difference Δ and the range rate difference {dot over (Δ)} are computed based upon the assumption that the LOS vectors from the antennas to the satellite are mutually parallel from the antennas to the satellite. That this assumption is valid may be appreciated from the geometry diagrams of
First, it should be recognized that the LOS vectors are not truly parallel, because the antennas are pointed to the same location in three-dimensional space. However, because the range to the aim-point (satellite) overwhelmingly dominates the separation between the antennas, for all possible satellite positions (e.g., A, B, C, D, E, shown in
More particularly, the true relative range difference ΔT (note the orthogonal projection in
R2(t)=ΔT(t)+R1(t)=Δ(t)−r(t)+R1(t)
{dot over (R)}2(t)={dot over (Δ)}T(t)+{dot over (R)}1(t)=(t)−{dot over (r)}(t)+{dot over (R)}1(t)
θ1(t)≠θ2(t)
Δ(t) is the orthogonal projection of the baseline separation onto the path between antenna Ant2 and the satellite. The term r(t) is due to the “overlap” of the length R1 (on the R2 path) and the orthogonal projection (on the R2 path). This overlap is caused by the different elevation angles for antenna Ant1 and antenna Ant 2 to the satellite. The overlap r(t) is generally much smaller than Δ(t) and, under the modeling assumption of parallel LOS vectors, r(t)=0. When the range to the satellite is large compared to the antenna separation, r(t) approaches 0 (as the LOS vectors become more parallel), but Δ(t) need not go to zero. On the basis of this parallel LOS assumption (and using antenna Ant 2 as “defining” the elevation angle), the geometry may be redrawn as shown in
In the parallel LOS diagram of
From elementary mathematical manipulations (assuming parallel LOS vectors) the modeled path length and range-rate differences are:
To verify these results, the modeled range-rate difference {dot over (Δ)} may be expressed as:
where θ2 is the reference angle for defining the parallel direction. This methodology uses the parallel LOS approximation, with the implication that the path length difference is due only to the orthogonal projection of the separation, and that there is no elevation angle difference between the antennas, and near broadside with large range (i.e. yo>>∥p1−p2∥) where θ2≈π/2.
As geometric range offset (timing correction) values and geometric range rate (frequency) correction values are periodically (e.g., at the above exemplary rate of 100 Hz (or every 10 ms)) derived by the error correction processor in the terminal 601 in the manner described above with reference to
Returning to the issue of boresight obscuration, the antenna boresight obscuration database 611 comprises a library of visibility obscuration-based look-up tables, respectively representative of two-dimensional (e.g., elevation (EL) and azimuth (AZ)) spatial maps of quantized visibility values. In each map, non-limiting examples of which are respectively shown at 700 and 800 in
In the visibility obscuration map examples of
Maps 700 and 800 further show relatively spatially narrow transition regions 703 and 803, that lie between or interface the unobscured and obscured regions 701-702 and 801-802, respectively. Within these transition regions, the quantized obscuration values may be set at ‘intermediate’ numbers that fall between those of the unobscured and obscured regions. These transition regions are used to indicate that the boresight of the antenna is pointed in a direction associated with a ‘transition’ between a relatively clear view region (701, 801) and a substantially obstructed view region (702, 802). If the antenna had been previously pointed in a direction having a clear view of the satellite, it may be reasonably inferred that encountering a transition region means that the further positioning of the antenna along its current direction of movement will likely cause its view of the satellite to be obscured (as the antenna boresight ‘transitions’ to the obscuration region). Conversely, if the antenna had been previously pointed in a direction having an obstructed view of the satellite, it may be reasonably inferred that encountering a transition region means that the further positioning of the antenna along its current direction of movement will likely cause its view of the satellite to become unobscured (as the antenna boresight ‘transitions’ to a clear view region). As will be described, these transition regions allow the controller 610 to arbitrate among potential steering paths through the antenna feed switch 602.
A non-limiting example of criteria by way of which antenna feed switch controller 610 selects the feed path through switch 602 is shown by the table of
As pointed out above, because antennas 603 and 604 are spatially diverse, their respective ranges to (and thereby times of reception of signals downlinked from) the satellite will differ. This differential time of arrival of downlinked signals from the satellite produces differences in the timing and frequency error measurements that are used to update the receiver's Kalman filter kinematic state vector. Such time of arrival differences and resulting error measurement differences are taken into account, by performing timing and frequency error corrections, as necessary, based upon antenna boresight pointing data supplied from the antenna positioning subsystems 612.
In operation, antenna feed switch controller 610 continuously compares the respective sets of (AZ, EL) boresight parameters supplied by the antenna positioning subsystems 612 with the contents of their associated visibility obscuration maps within database 611. As long as the coordinates of the antenna currently being coupled by antenna feed selection switch 602 to the receiver terminal 602 fall within a clear region of its associated visibility-obscuration map, controller 610 may continue to feed the output of that antenna through switch 602 to the receiver terminal 601. It should be noted that the other antenna may simultaneously have a clear view to the satellite. In this case, it is not necessary that the current antenna be used, but that an arbitration algorithm, such as those described below, may be used to select which of the two antennas is to be used, as denoted in
For the example depicted in
Thus, in the example depicted in
As noted above, there may arise a situation, where the boresight of the antenna whose output is currently being coupled through feed switch 602 intersects a transition region of that antenna's visibility obscuration map, whose quantized value is less than that of an unobscured or clear region. If the (AZ, EL) coordinates of the boresight of another antenna fall within the unobscured region of that other antenna's visibility obscuration map, controller 601 will change the feed path through switch 602 to that other antenna. However, if the (AZ, EL) coordinates of the boresight to the transmitter of another antenna fall within an obscured region of that other antenna's visibility obscuration map, controller 610 will not change the feed path through switch 602 to that other antenna, but will maintain the path through switch 602 to the current antenna. If the (AZ, EL) coordinates of the boresight to the transmitter of no other another antenna fall within the unobscured region of that other antenna's visibility obscuration map, but fall within a transition region of that map, controller 601 will determine whether a changeover to another antenna is take place based upon one or more prescribed criteria.
Such criteria may take into account whether the currently used antenna has been pointed in a direction having a clear view of the satellite. In such a case, it may be reasonably inferred that encountering a transition region means that the further positioning of the antenna along its current direction of movement will likely cause its view of the satellite to be obscured (as the antenna boresight ‘transitions’ to the obscuration region). In this case, the controller 610 may cause a changeover to another antenna whose boresight also falls within a transition region. However, that changeover decision may also take into account the other antenna's previous pointing direction. If the other antenna has been pointed in a direction having an obstructed view of the satellite, it may be reasonably inferred that further positioning of the other antenna along its current direction of movement will likely cause its view of the satellite to become unobscured (as the other antenna's boresight ‘transitions’ to the clear region). In this case, the controller 610 may cause a changeover to the other antenna.
On the other hand, if the other antenna had been previously pointing in a direction having an unobstructed view of the satellite, it may be reasonably inferred that the transition region for the other antenna means that the further positioning of the other antenna along its current direction of movement will likely cause its view of the satellite to become obscured. In this case, a changeover to the other antenna may not be effected. Controller 610 may also employ one or more alternative arbitration mechanisms for selecting between antennas whose boresights produce the same map values, such as, but not limited to, the length of time that switch 602 is in a given antenna feed state.
Preferably, as noted above, the number of antennas and their associated visibility maps are such that, even though each antenna may experience some degree of blockage, a composite of the obscuration maps for all of the antennas is effective to provide complete hemispherical coverage. Such a well designed system is characterized by the ‘AVOID’ result of
As will be appreciated from the foregoing description, the transmitter obscuration problem described above is effectively circumvented in accordance with the present invention, which not only employs spatial diversity, but uses a reduced complexity, (view of the transmitter obscuration) ‘information’ or ‘knowledge’-aided antenna selection criterion to select which antenna is to be used by the receiver to receive downlink communication signals from the satellite.
While we have shown and described an embodiment in accordance with the present invention, it is to be understood that the same is not limited thereto but is susceptible to numerous changes and modifications as known to a person skilled in the art, and we therefore do not wish to be limited to the details shown and described herein, but intend to cover all such changes and modifications as are obvious to one of ordinary skill in the art.
The present application is a continuation-in-part of co-pending U.S. patent application Ser. No. 11/384,868, filed Mar. 20, 2006, by E. Beadle et al, entitled: “Time/Frequency Recovery of a Communication Signal in a Multi-Beam Configuration Using a Kinematic-Based Kalman Filter and Providing a Pseudo-Ranging Feature” (hereinafter referred to as the '868 application), assigned to the assignee of the present application and the disclosure of which are incorporated herein.
The U.S. Government has a paid-up license in this invention and the right in limited circumstances to require the patent owner to license others on reasonable terms as provided for by the terms of contract No. AEHF-NMT N00039-04-C-0011.
Number | Date | Country | |
---|---|---|---|
Parent | 11384868 | Mar 2006 | US |
Child | 11612045 | Dec 2006 | US |