Abstract:
The architecture of the present invention is premised upon an algorithm involving integration of oblique correlators and RAKE filtering to null interference from other spread spectrum signals. The oblique correlator is based on the non-orthogonal projections that are optimum for nulling structured signals such as spread spectrum signals. In one configuration, space spanned by a first signal associated with a first emitter is orthogonal to an interference space associated with one or more signals of one or more other emitters. RAKE filtering is used to rapidly steer the beam of the multi-antenna system and to mitigate the effects of multipath.

Description:
BACKGROUND OF THE INVENTION  
         [0001]    Spread spectrum techniques are finding larger roles in a variety of applications. In cellular telephony, spread spectrum based systems offer the potential for increased efficiency in the use of bandwidth. The resistance of spread spectrum methods to jamming make them ideally suited for radar and Global Positioning System (GPS) applications. For radar applications, spread spectrum signals have a lower probability of being intercepted due to the noise-like appearance of spread spectrum waveforms. In addition, it may be used to increase the pulse repetition frequency without sacrificing unambiguous range.  
           [0002]    In spread spectrum radars, GPS, and cellular telephony applications (e.g., Code Division Multiple Access (CDMA)), each transmitted signal or pulse is assigned a time varying pseudo-random (PN) code that is used to spread each bit in the digital data stream (i.e., an interference code), such as a PN code (e.g., a long code) in CDMA applications. In CDMA applications, this spreading causes the signal to occupy the entire spectral band allocated to the Multiple Access System (MAS). The different users in such a system are distinguished by unique interference codes assigned to each. Accordingly, all users simultaneously use all of the bandwidth all of the time and thus there is efficient utilization of bandwidth resources. In addition, since signals are wide-band, the multipath delays can be estimated and compensated for. Finally, by carefully constructing interference codes, base-stations can operate with limited interference from adjacent base stations and therefore operate with higher reuse factors (i.e., more of the available channels can be used).  
           [0003]    In spread spectrum systems, all other spread spectrum signals contribute to background noise, or interference, relative to a selected spread spectrum signal. Because each user (or radar pulse or GPS satellite signal) uses a noise-like interference code to spread the bits in a signal, all the users contribute to the background noise. In CDMA systems in particular, user generated background noise, while having a minimal effect on the forward link (base-to-mobile) (due to the synchronized use of orthogonal Walsh Codes), has a significant effect on the reverse link (mobile to base)(where the Walsh Codes are commonly not synchronized and therefore nonorthogonal). The number of users a base-station can support is directly related to the gain of the antenna and inversely related to the interference. Gain is realized through the amplification of the signal from users that are in the main beam of the antenna, thereby increasing the detection probability in the demodulator. Interference decreases the probability of detection for a signal from a given user. Although “code” filters are used to isolate selected users, filter leakage results in the leakage of signals of other users into the signal of the selected user, thereby producing interference. This leakage problem is particularly significant when the selected user is far away (and thus the user&#39;s signal is weak) and the interfering user is nearby (and thus the interfering user&#39;s signal is strong). This problem is known as the near-far problem.  
           [0004]    There are numerous techniques for improving the signal-to-noise ratio of spectrum signals where the noise in the signal is primarily a result of interference caused by other spread spectrum signals. These techniques primarily attempt to reduce or eliminate the interference by different mechanisms.  
           [0005]    In one technique, the interfering signals are reduced by switching frequency intervals assigned to users. This technique is useless for the intentional jamming scenario in which jammers track the transmitter frequencies. Frequency switching is not an option for the CDMA standard for cellular telephones. In that technology, all users use all of the frequencies at all times. As a result there are no vacant frequency bands to switch to.  
           [0006]    In another technique, the interfering signals are selectively nulled by beam steering. Classical beamsteering, however, does not provide, without additional improvements, the required angular resolution for densely populated communications environments.  
           [0007]    The above techniques are further hampered due to the fact that signals rarely travel a straight line from the transmitter to the receiver. In fact, signals typically bounce off of buildings, trees, cars, etc., and arrive at the receiver from multiple directions. This situation is referred to as the multipath effect from the multiple paths that the various reflections that a signal takes to arrive at the receiver.  
         SUMMARY OF THE INVENTION  
         [0008]    An objective of the present invention is to provide a system architecture for increasing the signal-to-noise ratio (SNR) of a spread spectrum signal. Another objective is to provide a system architecture for removing the interference from a spread spectrum signal, particularly the interference attributable to spread spectrum signals generated by other sources. Yet another objective is to provide a system architecture for removing the interference from a spread spectrum signal that does not employ beam steering. Specific related objectives include providing a demodulating/decoding system for efficiently demodulating/decoding spread spectrum signals generated by far away sources in the presence of spread spectrum signals generated by near sources and/or effectively accounting for the various multipaths of a spread spectrum signal.  
           [0009]    These and other objectives are addressed by the spread spectrum system architecture of the present invention. In one embodiment, the system includes: (i) an antenna adapted to receive a signal, a first signal segment of the signal being attributable to a first source and a second signal segment of the signal being attributable to a source other than the first source; and (ii) an oblique projecting device, in communication with the antenna, for determining the first signal segment. The signal can be any structured signal, such as a spread spectrum signal, that is decomposable into at least a first signal segment and a second signal segment. A “structured signal” is a signal that has known values or is created as a combination of signals of known values.  
           [0010]    In one configuration, the oblique projecting device determines the first signal segment by obliquely projecting a signal space spanned by the signal onto a first space spanned by the first signal segment. As used herein, the “space” spanned by a set “A” of signals is the set of all signals that can be created by linear combinations of the signals in the set “A”. For example, in spread spectrum applications, the space spanned by the signals in set “A” are defined by the interference codes of the one or more selected signals in the set. Thus the space spanned by interfering signals is defined by all linear combinations of the interfering signals. The signal space can be obliquely projected onto the axis along a second space spanned by the second signal segment. The estimated parameters of the first signal segment are related to the actual parameters of the first signal segment and are substantially free of contributions by the second signal segment. Through the use of oblique projection, there is little, if any, leakage of the second signal segment into computed parameters representative of the first signal segment.  
           [0011]    For spread spectrum applications, oblique projection is preferably performed utilizing the following algorithm:  
           (y T (I-S(S T S) −1 S T ) H(H T (I-S(S T S) −1 S T )H) −1 H T (I-S(S T S) −1 S T )y)/σ 2    
           [0012]    where y corresponds to a selected portion of the spread spectrum signal, H corresponds to an interference code matrix for the first signal segment (which defines a first space including the first signal), S corresponds to the interference code matrices for signals of all of the other sources (users) in the selected portion of the spread spectrum signal (which defines a second space including the signals of the other sources),  T  corresponds to the transpose operation and σ 2  corresponds to the variance of the magnitude of the noise in the selected portion of the spread spectrum signal. As will be appreciated, the oblique projection can be done using other suitable algorithms.  
           [0013]    In another embodiment, a system for receiving a signal is provided that includes:  
           [0014]    (a) one or more antennas adapted to receive a signal, the signal being decomposable into at least a first and a second CDMA signal segment attributable to first and second emitters, respectively; and  
           [0015]    (b) a projection operator for determining the first CDMA signal segment, the first CDMA signal segment spanning a first signal space, the projection operator being in communication with the one or more antennas and determining the first CDMA signal segment by projecting a signal space spanned by the signal onto the first signal space. The first signal space is orthogonal to an interference space that corresponds to an interference code matrix for the second CDMA signal segment and/or second emitter.  
           [0016]    In one configuration, the system performs an oblique projection by obliquely projecting the signal space spanned by the signal onto the first signal space along the interference space.  
           [0017]    The system can have a number of advantages, especially in spread spectrum systems. The system can significantly increase the signal-to-noise ratio (SNR) of the spread spectrum signal relative to conventional spread spectrum demodulating systems, thereby increasing the detection probability. This is realized by the almost complete removal (i.e., nulling) from the spread spectrum signal of interference attributable to spread spectrum signals generated by other sources. Non-orthogonal (oblique) projections are optimum for nulling structured signals such as spread spectrum signals. In CDMA systems, the system can efficiently demodulate/decode spread spectrum signals generated by far away (weak) sources in the presence of spread spectrum signals generated by near (strong) sources, thereby permitting the base station and/or mobile station for a given level of signal quality to service more users and operate more efficiently. An improvement in SNR further translates into an increase in the user capacity of a spectral bandwidth—which is a scarce resource. Unlike conventional systems, the system does not require beam steering to remove the interference.  
           [0018]    In applications where the first signal includes a number of multipath signal segments, the system in one configuration includes a threshold detecting device, in communication with the oblique projecting device, for generating timing information defining a temporal relationship among the plurality of multipath signal segments (e.g., using mathematical peak location techniques that find the points at which the slope of the surface changes from positive to negative and has a large magnitude) and/or a timing reconciliation device for determining a reference time based on the timing information (i.e., the multipath delays). Multipath signal segments correspond to the various multipaths followed by a signal (e.g., the first signal) after transmission by the signal source.  
           [0019]    In one configuration, the system includes a RAKE processor in communication with the oblique projecting device and the timing reconciliation device for aligning the plurality of multipath signal segments in at least one of time and phase and/or scaling the magnitude(s) of the multipath signal segments. RAKE processing rapidly steers the beam of a multi-antenna system as well as mitigates multipath effects. The RAKE processor preferably aligns and scales using the following algorithm:  
           y   R          (   K   )       =       1       ∑     i   =   1     P                     A   i                ∑     i   =   1     P                       A   i               -   jϕ            y        (     k   +     t   i       )                                   
 
           [0020]    where p is the number of the multipath signal segments (or peaks); i is the number of the multipath signal segment; A i  is the amplitude of ith multipath signal segment; j is the amount of the phase shift; φ i  is the phase of the ith multipath signal segment; y(k) is the input sequence; and t i  is the delay in the received time for the ith multipath signal segment.  
           [0021]    In one configuration, the oblique projecting device nulls out the signals of other sources in the spread spectrum signal and the RAKE processor then effectively focuses the beam on the desired signal source. The process eliminates the need for null steering to be performed by the antenna. The system of the present invention is less complex and more efficient than conventional beam steering systems.  
           [0022]    In one configuration, the system includes a demodulating device in communication with the RAKE processor to demodulate each of the signal segments. Like the oblique projecting device, the demodulating device preferably uses the equation noted above with respect to the oblique projecting device. Unlike the oblique projecting device which uses portions of the filtered signal to perform oblique projection, the demodulating device uses the output of the RAKE processor which has aligned and summed all of the multipath signal segments. Both the oblique projecting and demodulating devices use estimates of the transmission time (“trial time”) and symbol (“candidate symbol”) and the receive time in determining a correlation function using one or more of the above equations. “Receive time” is the index into the received data stream (or spread spectrum signal) and represents the time at which the data (or spread spectrum signal) was received by the antenna. “Transmission time” is the time at which the source transmitted a selected portion of the data stream (i.e., the selected signal).  
           [0023]    In one configuration, the system includes a plurality of antennas (i.e., an antenna array), with each antenna having a respective oblique projecting device, threshold detecting device, and RAKE processor. In one configuration, a common timing reconciliation device is in communication with each of the respective threshold detecting devices and RAKE processors. In one configuration, a common demodulating component is also in communication with each of the RAKE processors. In this configuration, the demodulating component sums all of the first signals received by each of the antennas to yield a corrected first signal reflecting all of the various multipath signal segments related to the first signal.  
           [0024]    In these configurations, the system can effectively accommodate the various multipath signal segments related to a source signal. The RAKE processor weights each of the multipath signal segments in direct relation to the magnitude of the peak defined by each multipath signal segment.  
           (y T (I-S(S T S) −1 S T ) H(H T (I-S(S T S) −1 S T )H) −1 H T (I-S(S T S) −1 S T )y)/σ 2    
           [0025]    The above description of the configurations of the present invention is neither complete nor exhaustive. As will be appreciated, other configurations are possible using one or more of the features set forth above. 
       
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS  
       [0026]    [0026]FIG. 1 is a first embodiment of the present invention;  
         [0027]    [0027]FIG. 2 depicts the various components of the correlating device;  
         [0028]    [0028]FIG. 3 depicts the unit steps performed by the components of FIG. 2;  
         [0029]    [0029]FIG. 4 depicts graphically the oblique projecting operation;  
         [0030]    [0030]FIG. 5 depicts the signal segments contained in a portion of the filtered signal;  
         [0031]    [0031]FIG. 6 depicts the three dimensional correlation surface employed by the threshold detecting device;  
         [0032]    [0032]FIG. 7 pictorially depicts the operation of the RAKE processor;  
         [0033]    [0033]FIG. 8 depicts the various components of the demodulating device;  
         [0034]    [0034]FIG. 9 depicts a correlation surface defined by the correlation function output by the demodulating device;  
         [0035]    [0035]FIG. 10 is a second embodiment of the present invention for an antenna array;  
         [0036]    [0036]FIG. 11 is the first part of a flow schematic of the software for operating the system of FIG. 10; and  
         [0037]    [0037]FIG. 12 is the second part of the flow schematic.  
     
    
     DETAILED DESCRIPTION  
       [0038]    The present invention provides a software architecture and the underlying mathematical algorithms for demodulating/decoding communications signals containing interference noise. This invention is generally applicable to CDMA systems (and other spread spectrum systems), Frequency Division Multiple Access systems (FDMA) and Time Division Multiple Access systems (TDMA) and particularly for spread spectrum systems, such as CDMA. In spread spectrum systems, interference noise is typically due to a dense population of signals using the same intervals of the frequency spectrum, such as in high user density cellular phone applications, or such as in the intentional interference of radar or communication signals by nearby jammers.  
         [0039]    Single Antenna Systems  
         [0040]    An overview of the current architecture for detecting signals from an ith user in a CDMA system is illustrated in FIG. 1. The architecture employs a single antenna for receiving CDMA signals. The system includes the antenna  50  adapted to receive the spread spectrum signal and generate an output signal  54 , filters  58  and  60  for filtering the in-phase (“I”) and quadrature (“Q”) channels to form filtered channel signals  62  and  66 , a correlating device  70  for providing a hypothetical correlation function characterizing a filtered signal segment, which may be multipath signal segment(s) of a source signal (hereinafter collectively referred to as a “signal segment”), transmitted by a selected user, a threshold timing device  74  for generating timing information defining the temporal relationship among a plurality of peaks defined by the hypothetical correlation function, a timing reconciliation device  78  for determining a reference time based on the timing information, a RAKE processor  82  for aligning multipath signal segments for each selected user in time and phase and outputting an aligned signal for the selected user, a demodulating device  86  for demodulating aligned signals transmitted by each selected user into correlation functions and, finally, a threshold detecting device  90  for converting the correlation functions into digital information. As will be appreciated, a system configured for radar or GPS applications may not include some of these components, such as the filters  58  and  60 , and the conversion from analog to digital may be performed either at RF or IF.  
         [0041]    The antenna can be of any suitable configuration for receiving a structured signal and providing the output signal based thereon, such as an antenna having one or a number of antenna elements. As will be appreciated, the output signal is a mix of a plurality of signal segments transmitted by a number of mobile units (or users). The output signal is coherently shifted down from radio frequency and split into an in-phase (I) channel and a quadrature (Q) channel.  
         [0042]    The I and Q channels of the output signal are filtered by the filters, H*(f), designated as  58  and  60 , to form the filtered signals  62  and  66 . Filtered signal  62  corresponds to the I channel of the output signal while filtered signal  66  corresponds to the Q channel. The filters  58  and  60  are counterparts to the filter H(f) applied at the mobile unit to contain the transmitted signal within the specified bandwidth.  
         [0043]    Referring to FIGS.  1 - 3 , the correlating device  70  includes a user code generator  94 , a projection builder  98 , and a bank of projection filters  102 . For each of the filtered signals  62  and  66 , the user code generator  94  selects  106  a user (i.e., the selected user) transmitting a selected signal segment in a selected portion of the filtered signal to be decoded, selects  110 , for the selected user and signal segment, a set of trial transmit times (“trial times”) and/or candidate symbols and, for each trial time and/or candidate symbol in the set, generates  114  a candidate user code (or interface code) for the selected user and signal segment. As will be appreciated, a candidate symbol is typically not required in GPS applications and in a CDMA forward link. In selecting trial times, the base-station is assumed to have approximate synchronization with each of the mobile units. Using this approximate synchronization, the base station has a set of trial times at which each selected mobile unit may have transmitted the selected signal segment included in the filtered signals  62  and  66 . For each trial time, t p , in the set of trial times for the selected user and signal segment, the user code generator  94  generates one or more candidate user codes indexed by trial time and candidate symbol. The set of trial times used by the user code generator for determining the set of candidate user codes for a given signal segment is determined by known techniques. Typically, the user code generator will use a time interval centered on the receive time for the signal segment that has a width of about 200 milliseconds or less and more typically of about 50 milliseconds or less. These steps are repeated for each of the active users transmitting signal segment(s) of the filtered signal.  
         [0044]    The projection builder  98  selects  118  a portion of the filtered signal to process, collects  122  appropriate candidate user codes for the users transmitting signal segments of the selected filtered signal portion from the output of the user code generator, and, using the receive time offsets, trial times, and candidate symbols, creates  126  a set of hypothetical projection operators.  
         [0045]    The hypothetical projection operators are generated using the algorithm:  
         (I-S(S T S) −1 S T ) H(H T (I-S(S T S) −1 S T )H) −1 H T (I-S(S T S) −1 S T )  
         [0046]    where H corresponds to an interference code matrix for the selected signal segment, S corresponds to the interference code matrices for all of the other signal segments in the selected filtered signal portion, and  T  corresponds to the transpose operation. The variables H and S depend upon the interference codes determined by the user code generator  94 . Accordingly, H and S depend, respectively, upon the transmit time for the selected signal segment, and the transmit times of all of the other signal segments in the selected filtered signal portion. Because the data is indexed by the receive time, S is also a function of the receive time.  
         [0047]    To apply the above-equation, the projection builder  98  estimates the transmit times and/or symbols of each of the signal segments in the selected filtered signal portion. As noted, the trial time is an estimate of the transmit time and/or the candidate symbol of the symbol.  
         [0048]    Next, the bank of projection filters  102 , with one filter corresponding to each trial time and/or candidate symbol (i.e., to each hypothetical projection operator), provide a set of filter outputs (i.e., hypothetical correlation functions) to be threshold detected by the threshold detecting device  74 . Each of the bank of projection filters correlates  130  a plurality of multipath signal segments for a given trial time and/or candidate symbol. The projection filters  102  extract an estimated signal segment attributable to a given user from each selected filtered signal portion while simultaneously nulling out the other signal segments from other users.  
         [0049]    For each data segment y that is processed, the matrix S is assembled from the interfering codes. The time, code, phase and Doppler offsets are estimated as in current receivers. These offsets ensure that the correct interference code segment is used to build S.  
         [0050]    The equation used to generate the various hypothetical correlation functions is:  
         (y T )(projection operator for selected signal portion)(y)/σ 2    
         [0051]    where y corresponds to the selected filtered signal portion  62  or  66  and σ 2  corresponds to the variance of the magnitude of the noise portion contained in the respective filtered signal portion. The equation is based on oblique or non-orthogonal projections of y onto space spanned by H to null interference (i.e., interference from signal segments transmitted by other users) and yield the signal segment transmitted by the selected user. Because the receive times for the various signal segments of a selected user are unknown, a number of signal segments of the user, each at a different receive-time offset, must be correlated by the bank of projection filters.  
         [0052]    The oblique projection of Y space  134  spanned by y onto H space  138  spanned by H to yield an estimate of the signal segment  142  is simplistically illustrated in FIG. 4. Y space  134  spanned by Y is obliquely projected onto the H space  138  along S space  146  spanned by S. The test to determine whether H space is present in measurement y is determined by extending signal segment  142  into the space P s   ⊥   148  to yield signal segment  149 . P s   ⊥ space refers to the space that is orthogonal to the space that is spanned by the columns of matrix S. An illustrative discussion of this approach applied to the detection of subspace signals in subspace interference and broadband noise is contained in Scharf, et al., “Matched Subspace Detectors,” pages 2146 to 2157, Vol. 42, No. 8 IEEE. Transactions on signal processing, August 1994, which is fully incorporated herein by this reference. As will be appreciated S space  146  is normal or perpendicular to P s   ⊥ space  148 ; Y space  134  is obliquely directed relative to (i.e., is not orthogonal relative to) S space  146 , H space  138 , and P s   ⊥ space  148 ; the dashed line  147  represents space that is parallel to H space; the dashed line  145  represents space that is parallel to S space  146 ; and angle θ is oblique. (e.g., is not 90° but is an acute or obtuse angle). As will be appreciated, Y space, H space, S space and P s   ⊥ are each N-dimensional space. Oblique projections are more effective than orthogonal projections in removing interference attributable to the other users where the spread spectrum codes are not synchronized and thus not orthogonal, such as in the case of Walsh codes in the reverse link of a CDMA system. In such cases, the correlation function is independent of the amplitudes of the signal segments of other users and, therefore, power control of the transmitter is not a significant consideration. By way of illustration, FIG. 5 illustrates a four (4) user system in which the various users are transmitting symbols representing bits of data. The source signals are received by the antenna  50  as a number of multipath signal segments. A first multipath signal segment  150  is transmitted by a first user, a second multipath signal segment  154  by a second user, a third multipath signal segment  158  by a third user, a fourth multipath signal segment  162  by the first user, and a fifth multipath signal segment  166  from a fourth user. The projection builder  98  selects a first receive time offset Δt 1  and thereby selects the first, second and third multipath signal segments  150 ,  154  and  158 . The value of the receive time offset is determined by the control or receiver signal tracking system for the base station using known techniques. For the first multipath signal segment  150 , the projection builder  98  employs Δt 1  and a trial time and/or candidate symbol in the projection operator equation and generates a hypothetical projection operator for the first user indexed by the trial time and candidate symbol. For the second multipath signal segment  154 , the projection builder employs Δt 1  and a trial time and/or candidate symbol in the projection operator equation and generates a hypothetical projection operator for second user indexed by the trial time and candidate symbol. This operation may also be performed for the third multipath signal segment  158  with a hypothetical projection operator for the third user being likewise generated. For the second receive time offset, Δt 2 , the projection builder repeats the above steps for each of the fourth and fifth multipath signal segments  162  and  166  to generate additional projection operators for the first and fourth users. Although the first and fourth multipath signals are multipaths of a common source signal, the hypothetical projection operators for the first and fourth multipath signal segments are different due to differing degrees of interference. These steps are repeated for subsequent receive time offsets. The number of receive time offsets generated is determined by the base station control or receiver signal tracking system using known techniques. The bank of projection filters  102  then apply each of the hypothetical projection operators to the filtered signal portion corresponding to the respective receive time offset to develop a plurality of hypothetical correlation functions for the various users. Each of the hypothetical correlation functions defines a correlation surface  170  of the type depicted in FIG. 6, where the horizontal axes represent receive time and trial time and the vertical axis represents the output of the correlation function for a specific pair of receive times and trial times. One correlation function corresponds to a source signal transmitted by the selected user. Each peak  174   a - d  represents a multipath signal segment of the source signal.  
         [0053]    The threshold detecting device  74  uses the hypothetical correlation functions for each user that are outputted by the bank of projection filters  102  to determine the temporal locations of the various multipath signal segments in the hypothetical correlation function. Due to multipath delays, each hypothetical correlation function can have multiple peaks as shown in FIG. 6. As set forth above, the various peaks in the correlation surface can be isolated using known mathematical techniques. Using techniques known in the art and the temporal location of the peaks (or timing information) output by the threshold detecting device  74 , the timing reconciliation device  78  determines a reference time for the RAKE processor  82 . The reference time is based upon the receive times of the various peaks located by the threshold detecting device  74 . The reference time is used by the RAKE processor  82  as the time to which all of the signal segments for a given user are aligned.  
         [0054]    The RAKE processor  82  based on the timing information, the peak amplitudes of the hypothetical correlation function(s) detected by the threshold detecting device, and the filtered signals  62  and,  66  scales and aligns (in time and phase) the various multipath signal segments transmitted by a given user and then sums the aligned signal segments for that user. The RAKE processor  82  can be a maximal SNR combiner.  
         [0055]    The operation of the RAKE processor is illustrated in FIG. 7 (for an antenna array). As noted, the output of the bank of projection filters is the hypothetical correlation function, which in multipath environments typically has multiple peaks. Assuming that there are p multipaths or signal segments and therefore p peaks, the RAKE process determines the amplitudes, {A i } P   j=l , time delays, {t 1 } P   i=l , and phase delays {Ø i } P   i=l . If y(k) is a sequence defining the filtered signal  62  or  66 , then the “RAKED” sequence is y R (K):  
           y   R          (   K   )       =       1       ∑     i   =   1     P                     A   i                ∑     i   =   1     P                       A   i               -   jϕ            y        (     k   +     t   i       )                                   
 
         [0056]    Referring again to FIG. 7, the RAKE processor  82  first sums  178  the outputs of the various antenna elements, shifts  182  the various sequences in the outputs by the amounts of the multipath delays between the corresponding multipath signal segments of a selected signal segment, so that all multipath signal segments are perfectly aligned. It then weights each shifted multipath signal segment by the amplitude of the correlation function corresponding to that segment and sums  186  the weighted components to produce the aligned signal y R (k).  
         [0057]    The demodulating device  86  correlates the “RAKED” sequence, y R (k) with the appropriate replicated segment of the coded signal in the filter bank  102  to produce the correct correlation function for detection by a second threshold detecting device  90 . Referring to FIG. 8, the demodulating device  86 , like the correlating device  70  includes a user code generator  200 , a projection builder  204 , and a bank of projection filters  208 . The projection builder  204  and bank of projection filters  208  use the equations set forth above to provide projection operators and correlation functions. Unlike the correlating device  70  which provides for a series of hypothetical projection operators and correlation functions based on the trial time, receive time, and candidate symbol for each multipath signal segment, the demodulating device  86  uses the “RAKED” sequence which has only a single aligned signal segment rather than a plurality of independent multipath signal segments. Accordingly, the demodulating device  86  is able to reliably estimate the actual transmit time for the source signal and therefore requires considerably less processing to determine a correlation function than the correlating device  70 .  
         [0058]    For each of the I and Q channels, the user code generator  200  in the demodulating device  86  selects the user to decode for each aligned signal segment, selects a transmit time and symbol for the aligned signal segment and, for each transmit time and symbol, generates the user or interference code for the selected user.  
         [0059]    The projection builder  204  selects a portion of the “RAKED” sequence to process, collects the pertinent user codes from the user code generator  200 , and, using the receive times, transmit times, and symbols, creates a series of projection operators for each aligned signal segment in the “RAKED” sequence.  
         [0060]    Next, the bank of projection filters  208 , with one filter corresponding to each pair of transmit times and symbols and therefore each projection operator, provides a set of filter outputs (e.g., correlation functions) each defining a second correlation surface to be threshold detected.  
         [0061]    The second correlation surface is then detected by a second threshold detecting device  90  to determine the actual transmit time and symbol for each aligned signal. FIG. 9 depicts a representative correlation surface  212  corresponding to a correlation function determined by one projection filter. Compared to the correlation surface  170  of FIG. 6, the correlation surface  212  has only a single peak  214  (due to the alignment of the multipath signal segments in the “RAKED” sequence) as opposed to multiple peaks.  
         [0062]    Using the transmit time and symbol, the aligned signal segment can be despread to provide the digital data for the aligned signal segment transmitted by each user.  
         [0063]    Because the above-described system assumes that the interference from other users is substantially the same for all multipath signal segments and/or that the amount of the interference in each multipath signal segment is relatively small, the RAKE processor  82  and demodulating device  86  require reconfiguration in applications where the interference in each of the multipath signal segments is substantially different and the interference is significant. To accommodate the differing interference portions in each multipath signal segment, the user code generator  200 , projection builder  204 , and bank of projection filters  208  process each multipath signal segment, corresponding to a peak in the correlation surface, before the RAKE processor has aligned, scaled, and summed each of the multipath signal segments. After the interference portion of each multipath signal segment is removed by oblique projection techniques from that signal segment, the various multipath signal segments can be aligned, scaled, and summed by the RAKE processor as set forth above. Alignment and scaling can be performed after oblique projection is completed as to a given multipath signal segment or after all oblique projection is completed for all multipath signal segments.  
         [0064]    Multiple Antenna Systems  
         [0065]    [0065]FIG. 10 depicts a multiple antenna system according to another embodiment of the present invention. Each antenna  50   a - n  is connected to filters  250   a - n  and  254   a - n , correlating device  258   a - n , threshold detecting device  262   a - n , and a RAKE processor  266   a - n . The threshold detecting devices  262   a - n  for all of the antennas  50   a - n  are connected to a common timing reconciliation device  270 , which in turn is connected to all of the RAKE processors  266   a - n . In this manner, all of the RAKE processing for all of the filtered signals is performed relative to a common reference time. The output of the RAKE processors  266   a - n  is provided to a common demodulating device  274  for determination of the correlation functions and summing of the signal portions received by all of the antennas that are attributable to a selected user. The system in effect “phases” the output of each antenna in order to maximize the SNR.  
         [0066]    As will be appreciated, the output of each antenna in a conventional antenna array contains a desired signal but at a delay relative to the outputs of the other antennas. The amount of relative delay is a function of the arrangement of the antennas as well as the angular location of the source. Conventional beam-steering methods attempt to compensate for this time delay so that the desired signals add constructively thereby increasing the power of the desired signal. In general, an N antenna system can improve the SNR by a factor of N.  
         [0067]    In the multiple antenna system of the present invention, by contrast, the compensation for the relative delays is performed in the RAKE processors  266   a - n . In order to accomplish this, the system sums the antenna outputs without compensating for the relative delays. The correlation process may result in Np peaks as opposed to just p multipath induced peaks. These Np peaks are then used to align and scale the various signal segments prior to summation. The RAKE processor, in effect, performs the phase-delay compensation usually done in beam-steering.  
         [0068]    The system architecture of the present invention thus does not require knowledge of array geometries and steering vectors. It does not require iterative searches for directions as is the case for systems that steer the beam using techniques like LMS and its variants. Finally, it is computationally very efficient.  
         [0069]    Referring to FIGS.  11 - 12 , the software to operate the multiple antenna system of FIG. 10 will now be described. The software detects spread spectrum signals in the presence of interference from other users.  
         [0070]    Initially, a channel is opened  278  to the respective antenna  50   a - n , and a user is selected  282  to demodulate the signal segments transmitted by the selected user. The outputted spread spectrum signal of the respective antenna  50   a - n  is converted  286  into the I and Q channels. The channels are filtered by the filters  250   a - n  and  254   a - n  to form the filtered signals  290   a - n  and  294   a - n . As will be appreciated, the filtering operation is generally not performed in radar and GPS applications.  
         [0071]    For each data segment y that is processed, the matrix S is assembled from the interfering codes. The time, code, phase and Doppler offsets are estimated as in current receivers. These offsets ensure that the correct interference code segment is used to build Filtered signal portions are selected  298  for processing. In the query box  302 , if other users are present in the selected filtered signal portion, P ⊥   s  is set  306  based on candidate interference codes. If not, P ⊥   s  is set  310  to I.  
         [0072]    After the user is selected in box  282 , trial times are generated  314  for the selected user. Next, candidate user codes are generated  318  for each of the trial times.  
         [0073]    Next, hypothetical projection operators are created  322  for each trial time and filtered signal portion to be processed. The filtered signal portion is correlated  326  by user with the trial time, receive time, and candidate symbol to create the hypothetical correlation function. The hypothetical correlation function characterizes the multipath signal segments from the user of interest while nulling out the interference from other known users.  
         [0074]    A correlation surface is generated and thresholded  330  to identify peaks in the hypothetical correlation functions.  
         [0075]    Based on the receive times for all multipath signal segments for a given source signal received by each of the antennas, timing reconciliation  334  is performed. The minimum receive time of all of the corresponding multipath signal segments is selected as the reference time.  
         [0076]    Based on the magnitudes of the peaks and the estimated receive times and the reference time, RAKE processing  338  is performed on all of the data segments.  
         [0077]    The outputs from all of the RAKE processors  266   a - n  are combined  342  to formed a combined output.  
         [0078]    Using the correct user codes and the correct interference codes, which are provided by RAKE processing, projection operators are created  346  for each data segment.  
         [0079]    Based on the projection operators and the combined output, the aligned multipath signals segments for all of the antennas are correlated  350  and a second correlation surface generated.  
         [0080]    Threshold detection  354  is performed to provide the digital data. The above-noted steps are repeated for other users and/or other multipath signal segments.  
         [0081]    Location Using Multiple Antenna System  
         [0082]    The multiple antenna system of FIG. 10 can be utilized to locate the source of a selected signal by triangulation. In case the multiple antennas on a base-station are evenly  
       θ   =       sin     -   1            (       ct   0     d     )                             
 
         [0083]    spaced, with spacing d, then the time difference between when the first signal from the source impinges on any two antennas can be used to estimate direction of arrival of the signal. This approach assumes that the first signal is a direct signal from the source. If θ is the angle to the source and to is the time delay from when the first signal hits the first antenna and then the second antenna, then the formula for computing θ is:  
         [0084]    where  
         [0085]    d-antenna spacing  
         [0086]    c-speed of light  
         [0087]    Using ranging protocols currently in base-stations, one can obtain estimates of range to the source. This range information either alone or in combination with angle estimates, when obtained from multiple base-stations, can be processed using decentralized filtering algorithms to get accurate location information about the source. The decentralized filtering algorithms are known. Examples of decentralized filtering algorithms include decentralized Kalman filters and the Federated filter.  
         [0088]    While various embodiments of the present invention have been described in detail, it is apparent that modifications and adaptations of those embodiments will occur to those skilled in the art. However, it is to be expressly understood that such modifications and adaptations are within the scope of the present invention, as set forth in the following claims.