PATENT ABSTRACT
A key fob-control unit pairing device that includes a transceiver to transmit and receive signals, a memory to store a certificate of authenticity (CertVD) associated with the pairing device and a public key (PKVM), and a processor coupled to said transceiver and memory. The processor is to receive a public key (PKKF) from a key fob and associated with the key fob and a certificate of authenticity (CertKF) associated with the key fob, verify the CertKF with the PKVM, and transmit an encrypted PKKF to a control unit.

PATENT DESCRIPTION
CROSS-REFERENCE TO RELATED APPLICATION 
       [0001]    The present application claims priority to U.S. Provisional Patent Application No. 61/672,463, filed on Jul. 17, 2012 (Attorney Docket No. TI-72632PS) and U.S. Provisional Patent Application No. 61/672,474, filed on Jul. 17, 2012 (Attorney Docket No. TI-72633PS); which is hereby incorporated herein by reference. 
     
    
     BACKGROUND 
       [0002]    Wireless key fobs and their respective vehicles may use encrypted operational keys to authenticate communications that occur between the two. For the key fob and the vehicle to be able to communicate, they must be paired at some point in either the manufacturing or the sales process. The pairing of wireless key fobs and their respective vehicles conventionally requires the vehicle manufacturer to deliver to the various vehicle dealers a secret key associated with each key fob where the secret key is a cryptographic key. A key fob&#39;s secret key may be then be used to associate the key fob with a vehicle, or pair the key fob and the vehicle. Multiple key fobs are typically paired with each vehicle. This step of delivering to the vehicle dealers the secret key may and the fact that each of these key fobs must store the secret key, however, open a means for theft of the secret key leading to unauthorized key fobs and potential theft. 
       SUMMARY 
       [0003]    The problems noted above are solved in large part by a key fob-control unit pairing device that includes a transceiver to transmit and receive signals, a memory to store a certificate of authenticity (CertVD) associated with the pairing device and a public key (PKVM), and a processor coupled to said transceiver and memory. The processor is to receive a public key (PKKF) from a key fob and associated with the key fob and a certificate of authenticity (CertKF) associated with the key fob, verify the CertKF with the PKVM, and transmit an encrypted PKKF to a control unit. 
         [0004]    The solution may also involve a key fob that includes a transceiver to receive and send signals, a memory to store a public key (PKKF) and a certificate of authenticity (CertKF) associated with the key fob, and a processor coupled to said transceiver and memory. The processor is to transmit the PKKF and the CertKF to a pairing device, execute a public key agreement protocol to generate a common secret encryption key, and receive, from a control unit, an operation key encrypted with the common secret encryption key. 
         [0005]    Another solution to the above problem may be a method to pair a key fob and a control unit of a vehicle that includes reading, by a pairing device, a public encryption key (PKKF) and a certificate of authenticity (CertKF) from a key fob, verifying, by the pairing device, the CertKF using a public encryption key of a vehicle manufacturer (PKVM), transmitting, by the pairing device, a certificate of authenticity (CertVD) to a control unit, verifying, by the control unit, the CertVD using the PKVM, executing, by the pairing device and the control unit, a public key agreement to generate an encryption key DHKey1, encrypting, by the pairing device, the PKKF using the DHKey1, transmitting, by the pairing device, the encrypted PKKF to the control unit, executing, by the control unit and the key fob, a public key agreement to generate an encryption key DHKey2, encrypting, by the control unit, an operational key using the DHKey2, and transmitting, by the control unit, the encrypted operational key to the key fob. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0006]    For a detailed description of exemplary embodiments of the invention, reference will now be made to the accompanying drawings in which: 
           [0007]      FIG. 1  shows an example vehicle manufacturing flow from sub-unit manufacturing to the vehicle dealership implementing a certificate-based authentication key fob-control unit pairing in accordance with various examples as discussed herein; 
           [0008]      FIG. 2  is an example key fob and control unit pre-pairing conditioning process for certificate-based authentication in accordance with various examples as described herein; 
           [0009]      FIG. 3  shows an example of an initial pairing process of a control unit and a key fob using certificate-based authentication in accordance with various embodiments as discussed herein; 
           [0010]      FIG. 4  is a block diagram of an example pairing device in accordance with various examples discussed herein; 
           [0011]      FIG. 5  is a block diagram of an example key fob in accordance with various examples discussed herein; 
           [0012]      FIG. 6  is a block diagram of an example control unit in accordance with various examples discussed herein; 
           [0013]      FIG. 7  shows an example operation of a paired key fob and control unit after pairing in accordance with various examples as discussed herein; 
           [0014]      FIG. 8  shows an example of an operational key change by a CU in accordance with various examples as discussed herein; 
           [0015]      FIG. 9  is an example flow diagram of a method for the certificate-based authentication in accordance with various examples discussed herein; and 
       
    
    
     NOTATION AND NOMENCLATURE 
       [0016]    Certain terms are used throughout the following description and claims to refer to particular system components. As one skilled in the art will appreciate, companies may refer to a component by different names. This document does not intend to distinguish between components that differ in name but not function. In the following discussion and in the claims, the terms “including” and “comprising” are used in an open-ended fashion, and thus should be interpreted to mean “including, but not limited to . . . .” Also, the term “couple” or “couples” is intended to mean either an indirect or direct wired or wireless connection. Thus, if a first device couples to a second device, that connection may be through a direct wired or wireless connection, or through an indirect wired or wireless connection via other devices and connections. 
       DETAILED DESCRIPTION 
       [0017]    The following discussion is directed to various embodiments of the invention. Although one or more of these embodiments may be preferred, the embodiments disclosed should not be interpreted, or otherwise used, as limiting the scope of the disclosure, including the claims. In addition, one skilled in the art will understand that the following description has broad application, and the discussion of any embodiment is meant only to be exemplary of that embodiment, and not intended to intimate that the scope of the disclosure, including the claims, is limited to that embodiment. 
         [0018]    The pairing of key fobs and vehicles (e.g., automobiles, motorcycles, boats, scooters, etc.) may entail the transport and use of secure information to ensure imposter key fobs are not paired with vehicles, which may lead to theft. The full conventional process may be kept secret by vehicle manufacturers to ensure the security of their vehicles. This process, however, may require the manufacturer to develop an expensive and dedicated IT system to generate secret keys and to maintain their security. Yet, when vehicles are delivered to dealerships, the secret keys are passed along so that multiple key fobs may be paired at the final destination. The transportation of the secret keys from manufacturer to dealer may present an opportunity for the secret keys to be stolen leading to rogue and imposter key fobs. 
         [0019]    In addition to vehicles, the disclosed methods may also be used to pair a key fob with any type of control unit that allows for wireless connectivity and control. For instance, the disclosed techniques and devices may be part of a garage door system, hotel entrance system, or a remote entry for a home. As such, the scope of this disclosure is not limited to control units of vehicles. The use of vehicles and the pairing of key fobs with one or all the control units of a vehicle is mainly for descriptive purposes. 
         [0020]    Disclosed herein are devices and methods for pairing key fobs with vehicles that may avoid the transport of the secret information to the dealerships and that may reduce the IT requirements of the vehicle manufacturers. One method, a certificate-based authentication process, may involve the use of authenticated certificates and public/private key pairs associated with the various components and actors involved in the pairing process. In the certificate-based approach, a pairing device may receive the public key and the certificate from an associated key fob. The pairing device may also be authenticated by a vehicle control unit and establish a secret key between the pairing device and the control unit. The pairing device may then encrypt the public key of the key fob with the secret key and transmit the encrypted public key to the control unit. The control unit may then know what key fob with which to pair. The control unit and the key fob may then generate another secret key to use between themselves, which may then be used by the control unit to encrypt an operational key. The encrypted operational key may then be communicated to the key fob so to pair the two devices. 
         [0021]    The certificate-based approach to pairing a key fob to a control unit may involve all actors (manufacturers, assemblers, dealerships, etc.) to obtain a public and secret (private) encryption key, which may be used to authenticate one another in the pairing process. That may mean that each vehicle dealership (or dealer/pairing device), the vehicle manufacturer, each key fob manufactured and assembled and each control unit manufactured and installed in a vehicle to have their own associated public/secret key pairs. Once the components involved have acquired their key pairs, the public keys may be certified by a trusted third party or a certificate authority (CA). The CA may receive the public key and identification from the associated component to prove their identity. After their identity is proven, the CA may then sign the party&#39;s public key with the trusted third party&#39;s secret key. The signed public key becomes the certificate of authenticity for the requesting party. To verify the identity of a certificate, another party needs to unlock the certificate using the trusted third party&#39;s public key. The CA, for example, may be the vehicle manufacturer or a third party designated by the car manufacturer. 
         [0022]    The various components—key fobs, pairing devices, and control units—may use certain public/secret keys and certificates to authenticate one another and to generate secret encryption keys to use for passing information between one another. The generation of the secret keys may use a public key agreement protocol, such as elliptical curve Diffie-Hellman (ECDH) or Elliptic Curve Cryptography (ECC). A pair of components, such as a key fob and a control unit, may use the secret encryption key as part of the pairing process. 
         [0023]      FIG. 1  shows an example vehicle manufacturing flow  100  from sub-unit manufacturing to the vehicle dealership implementing a certificate-based authentication key fob-control unit pairing in accordance with various examples as discussed herein. The flow  100  may include a key fob manufacturer  102 , a key fob assembly  104  (showing tier 1 of potentially multiple tiers), a control unit (CU) manufacturer  106 , a CU assembly  108  (showing tier 1 of potentially multiple tiers), a vehicle manufacturer  110 , and a vehicle dealer  112 . The flow  100  shows the progression of components that may eventually be paired for operation and entrance into a corresponding vehicle. Each vehicle may have multiple CUs with each CU controlling a different function, i.e., ignition, braking, entrance, trunk, etc. An individual key fob may be paired with one, a few, or all of the CUs of a corresponding vehicle. Additionally, each vehicle and various numbers of the CUs may be paired with multiple key fobs. Further, each key fob associated with a vehicle may be deactivated if lost or stolen without affecting any other key fobs associated with that same vehicle. 
         [0024]    Each key fob may have a public key (PK KF ) and a secret key (SK KF ) pair assigned to it and internally stored. The PK KF /SK KF  pair may be generated for and installed in each key fob by the key fob manufacturer  102 , the key fob assembly  104  or the vehicle manufacturer  110 . The vehicle manufacturer  110  may choose the most trusted entity for the generation and installation of the PK KF /SK KF  pairs to ensure secrecy and security. The same goes for each control unit that is manufactured and installed in a vehicle—each will have a key pair (PK CU /SK CU ) generated and installed into an associated CU by a trusted party—the CU manufacturer  106 , the CU assembly  108  or the vehicle manufacturer  110 . 
         [0025]    In addition to the key fobs and CUs including their respective PK/SK pairs, each unit may also include a certificate of authenticity (Cert) that authenticates the component&#39;s identity. Conventionally, a Cert is a verified and signed public key where the Cert is signed by a CA. The CA may sign a Cert with its secret key. For security reasons, the vehicle manufacturer  110  may be the trusted third party so they can control the flow and validity of Certs in the manufacturing and key fob-auto pairing process. As such, the vehicle manufacturer  110  may sign all public keys with its secret key (SK VM ) to generate a corresponding certificate. For example, a Cert KF  will be inserted into an associated key fob. A Cert CU  may correspond to a CU. 
         [0026]    The vehicle dealer  112  may also obtain a key pair (PK VD  and SK VD ) in order to be verified in the key fob-CU pairing process. The vehicle dealer  112 &#39;s key pair (and an associated Cert VD  also signed by the vehicle manufacturer  110 ) may be associated with a dealer pairing device or simply a pairing device. For simplicity of discussion, the key fob-auto pairing will be described as occurring at the vehicle dealer  112 , but the pairing may also occur at the vehicle manufacturer  110  without straying from the bounds of the present disclosure. 
         [0027]    Before any key fob-CU pairing may commence, some conditioning steps may take place at the various manufacturing and/or assembly locations. The conditioning may be performed to prime the separate components—key fobs, CUs, dealership (pairing device)—so that the pairing functions as intended. However, the conditioning and pairing steps may be done serially. If, for example, as is described herein, the pairing is performed at the vehicle dealer  112 , then the conditioning may occur at the vehicle manufacturer  110 . 
         [0028]      FIG. 2  is an example key fob and control unit pre-pairing conditioning process  200  for certificate-based authentication in accordance with various examples as described herein. The conditioning process  200  may involve the vehicle manufacturer  110 , the vehicle dealer  112 , a CU  202  and a key fob  204 . The steps of the conditioning process  200  are shown in a certain order but changes to the order are within the scope of the present disclosure. The order shown is for illustrative purposes only. The goal of the conditioning process  200  may be to condition or prime the respective components to facilitate the initial pairing of a key fob and a CU, which may occur at the vehicle manufacturer  110 &#39;s location or at a vehicle dealership  112 . 
         [0029]    The conditioning process  200  may begin at step  1   a  with the vehicle dealer  112  generating their encryption key pair—PK VD  and SK VD —as discussed above. The dealer  112  may then transmit its PK VD  in an authentic way to the vehicle manufacturer  110 . Transmitting in an authentic way may ensure the vehicle dealer  112 &#39;s identity to the vehicle manufacturer  110  and the authentic transmission may be physically mailing the PK VD  or delivering the PK VD  by a courier or some other form of verified transmission. Upon receipt of the PK VD , the vehicle manufacturer  110  may then certify the PK VD  by signing the PK VD  with the vehicle manufacturer  110 &#39;s secret key, SK VM , generating a certificate of authenticity (Cert VD ) for the vehicle dealer  112 . The vehicle manufacturer  110  then sends the Cert VD  back to the dealer  112 , which may be inserted into the dealer&#39;s associated pairing device. 
         [0030]    The conditioning process  200  may also include the vehicle manufacturer  110  inserting its public key, PK VM , into each vehicle&#39;s CU(s)  202  and also into each key fob  204 . The PK VM  inserted into the key fob  204  and the CU  202  may be used at a later time to verify the authenticity/identity of another device since all certificates of authenticity should be signed by the vehicle manufacturer  110 , which can be verified using the PK VM . 
         [0031]    Lastly, as part of the conditioning process  200 , the dealer  112  may read each key fob  204 &#39;s PK KF , which is not secret. The dealer may receive numerous key fobs  204  at a time and may decide to read all of their associated public keys at once to store in the pairing device. Alternatively, the dealer  112  may read the PK KF  of a single key fob as part of the initial pairing process, to be described below. 
         [0032]      FIG. 3  shows an example of an initial pairing process  300  of a control unit and a key fob using certificate-based authentication in accordance with various embodiments as discussed herein. The initial pairing process  300  may be performed at a vehicle manufacturer&#39;s location or at a vehicle dealership as shown. The initial pairing process  300  may include the vehicle manufacturer  110 , a pairing device  302  associated with a vehicle dealer  112 , the key fob  204  and the CU  202 . The pairing device  302  may already contain the PK VM , both may be used to verify the identities of the other components—the CU  202  and the key fob  204 . The pairing device  302  may be in communication with the key fob  204  and the control unit  202  via a wireless connection, such as with Bluetooth, ultra-high frequency (UHF), or low frequency (LF), or they may be connected via a wire. Wireless and wired connections between the components are in the scope of this disclosure. Additionally or alternatively, the pairing device  302  may communicate wirelessly with one component, the key fob  204  for instance, and communicate via a wire with another component, the CU  202  for instance. 
         [0033]    Further, the pairing device  302  may be a handheld device, a fixed terminal, or a secure computer in a secure location of either the vehicle dealer  112  or the vehicle manufacturer  110  depending on where the pairing process is to occur. In either embodiment, the pairing device  302  may have a secure communication channel with the vehicle manufacturer  110 . The secure communication channel may be a permanent connection or may be periodically established, nightly for example, to update lists and receive secure communications. 
         [0034]    The initial pairing process  300  may begin by the pairing device  302  receiving from the key fob  204  the PK KF  and the Cert KF  associated with the key fob, step  1   a.  The information may be sent to the pairing device  302  from the key fob  204  as a result of a request sent by the pairing device  302 . Alternatively, the key fob  204  may be periodically broadcasting its PK KF  and Cert KF . The pairing device  302  may then verify the identity of the key fob  204  by verifying the authenticity of the Cert KF, step  1   b.  The Cert KF  may be verified by the pairing device using the stored PK VM . The verification of the Cert KF  may be performed by hashing the Cert KF  with the PK VM . 
         [0035]    If the pairing device  302  is unable to verify the Cert KF , the key fob  204  associated with that Cert KF  may be deemed a rogue and further pairing steps halted. Additionally or alternatively, the pairing device  302  may verify that the received Cert KF  is not on a certificate revocation list (CRL) maintained by the vehicle manufacturer  110 , step  1   c.  This verification step may ensure that a specific Cert KF  has not been used numerous times before, which may signal a fraudulent key fob. The CRL may be stored in the memory of the pairing device  302  and periodically updated or the pairing device  302  may have constant access to the CRL maintained on a server at the vehicle manufacturer  110 . 
         [0036]    The pairing device  302 , before, after or simultaneously with verifying the key fob  204 , may begin communications with the CU  202  so that the CU  202  may verify the identity of the pairing device  302 . The pairing device  302 , step  2   a,  sends its Cert VD  to the CU  202 . The CU  202 , using the PK VM , verifies the authenticity of the Cert VD . Additionally or alternatively, the CU  202  may verify that the Cert VD  is not on a CRL, also maintained by the vehicle manufacturer  110 . The CU  202  may use a wireless access point at the vehicle dealer  112  to access the internet and a server at the vehicle manufacturer  110  to determine if the Cert VD  is on the revoke list, for example. 
         [0037]    If the Cert VD  is unverifiable or is on the CRL, then the CU  202  may determine the pairing device  302  and/or the dealer  112  is fraudulent. If deemed fraudulent, the CU  202  may cease communicating with the pairing device  302  and may alert the vehicle manufacturer  110 . 
         [0038]    If the CU  202  is able to verify the pairing device  302 , then, step  3   a,  both the CU  202  and the pairing device  302  execute a key agreement protocol to generate a common secret key, DHKey1, which may only be known by the pairing device  302  and the CU  202 . After generation of the DHKey1, the pairing device  302  may encrypt the PK KF  of the key fob  202  and transmit the encrypted PK KF  to the CU  202 . Since the CU  202  knows the DHKey1 and can decrypt the message revealing the PK KF , the CU  202  knows what key fob  204  with which to communicate and pair. 
         [0039]    The CU  202  may initiate communication with the key fob  202 , direct via wirelessly or through the pairing device  302 . Once a communication link is established between the key fob  204  and the CU  202 , the two components  202 ,  204 , step  4   a,  may execute a key agreement protocol to generate a common secret key, DHKey2, known only by the CU  202  and the key fob  204 . The CU  204 , step  4   b,  may then generate an operational key (OpKey), encrypt the OpKey using DHKey2, and transmit the encrypted OpKey to the key fob  204 . The OpKey may be a randomly generated 128-bit number. 
         [0040]    The key fob  204  may then decrypt the message to learn the OpKey. At this point, the key fob  204  and the CU  202  may be deemed paired and normal operation may commence. The key fob  204  and the CU  202  may use the OpKey to authenticate one another in normal operation based on any standard private or public key authentication techniques, e.g. ISO 9798-2. 
         [0041]    Pairing key fobs and control units may also be performed using identification (ID)-based authentication approach. The ID-based approach may use unique identification words associated with key fobs and CUs that may be used to both authenticate one another and to generate secret keys between the devices. The secret keys would then be used to encrypt and decrypt information sent between the two components. The pairing of the key fob and the CU, again, may be facilitated by a pairing device located at either the vehicle dealership or at the vehicle manufacturer and which may be similar to the pairing device  302 . 
         [0042]      FIGS. 4 ,  5 , and  6  show block diagrams of an example pairing device  302 , key fob  204  and CU  202 , respectively, in accordance with various examples discussed herein. The three devices/components—pairing device, key fob, and CU—may all comprise a processor ( 402 ,  502 ,  602 ), a memory ( 404 ,  504 ,  604 ), and a transceiver ( 406 ,  506 ,  606 ). The processors of the three devices/components may be used to perform the authentication computations and the common secret key generation computations associated with the certificate-based authentication pairing and the ID-based authentication pairing. The processors may be a standard CPU, a microcontroller, a low-power digital signal processor, etc. and may be capable of performing complex calculations in a short time. 
         [0043]    The memories of the three devices may be used to store the public and private key pairs and the certificates of authenticity associated with their respective device for the certificate-based authentication pairing. Alternatively or additionally, the memories of the three devices may be used to store the IDs of their own or the other devices. For example, in the ID-based authentication pairing, the pairing device  302  may store both the KFID and the CUID before initiating a paring sequence. The KFID and CUID for those two associated devices may be stored in the memory  404  of the pairing device  302 . The memories may be a non-volatile storage device such as flash memory or an EEPROM. 
         [0044]    The transceivers for the three devices may be wired (not shown), wireless or capable of both. The transceivers may be used by the devices to communicate the IDs, public keys, and/or certificates of authenticity during the condition steps and the initial pairing steps for either authentication approach. The key fobs allowing for remote entry and control of vehicles may use a wireless technology such as Bluetooth, LF, or UHF for those transmissions but may also be able to communicate with the pairing device and/or the CUs via a wire during the initial pairing process. 
         [0045]    Additionally, the pairing device  302  may include a wired connection to the vehicle manufacturer  110  so that the pairing device  302  may securely receive the CUIDs of the CUs  202  delivered to the dealer  112  for the ID-based authentication pairing. For the certificate-based authentication pairing the pairing device  302  may communicate with the vehicle manufacturer  110  when accessing a certification revoke list. Additionally, the CU  202  either via the pairing device  302  or some other connection may also access a CRL at the vehicle manufacturer  110  when checking the validity of the CertVD of the pairing device  302 . 
         [0046]      FIG. 7  shows an example normal operation of a paired key fob and CU in accordance with various examples as discussed herein. The normal operation depicted in  FIG. 9  shows the interaction between a key fob  204  and a CU  202  post initial pairing by the process  300  (certificate-based). The key fob and CU, when communicating with one another upon a user&#39;s interaction with the key fob for example, may first authenticate one another by executing an OpKey authenticated challenge-response protocol based on AES-128, for example. Operation of the CU by the key fob may only be allowed when the response is valid. An invalid response may signify a rogue key fob and the CU may not perform commands sent from an invalid key fob. 
         [0047]      FIG. 8  shows an example of an OpKey change by a CU in accordance with various examples as discussed herein. The CU  202  may change the OpKey when a key fob  206  is misplaced or is stolen. By changing the OpKey, the CU may prevent the missing or stolen key fob  206  from accessing the CU  202 . The CU  202  may be initiated by an external signal that a new OpKey is desired. The external signal may come from the owner of the remaining key fob(s)  204  by performing a preset sequence with the key fob and vehicle or the external signal may come from the pairing device  302  of the dealer  112 . Upon receiving the external signal, the CU  202  may encrypt a new OpKey using the old OpKey and then transmit the encrypted new OpKey to the remaining key fob(s)  204 . After receiving the new OpKey, the old OpKey may be erased by all the CU  202  and the remaining key fobs  204 . Normal operation between the devices may then continue without worry that the rogue key fob may interact with the CU. 
         [0048]      FIG. 9  is an example flow diagram of a method  900  for the certificate-based authentication in accordance with various examples discussed herein. The method  900 A may be one implementation of the initial pairing process  300  described in regards to  FIG. 3 . The method  900  begins at step  902  with the pairing device  302  reading a public encryption key (PK KF ) and a certificate of authenticity (Cert KF ) from the key fob  204 . The method  900  continues at step  904  with the pairing device  302  verifying the Cert KF  using a public encryption key (PK VM ) of the vehicle manufacturer  110 . Step  906  continues the method  900  with the pairing device  302  transmitting the certificate of authenticity (Cert VD ) to the CU  202 . The CU  202  at step  908  verifies the Cert VD  using the PK VM , which may be stored in the memory  804  of the CU  202 . At step  910 , the pairing device  302  and the CU  202  execute a public key agreement protocol to generate a common secret encryption key DHKey1, which may only be known by the pairing device and the CU. 
         [0049]    The method  900  then continues at step  912  with the pairing device  302  encrypting the PK KF  using the DHKey1 before the method  900  performs step  914  with the pairing device  302  transmitting the encrypted PK KF  to the control unit  202 . At step  916 , the CU  202  and the key fob  204  execute a public key agreement protocol to generate a common secret encryption key DHKey2 to be shared between the CU  202  and the key fob  204 . The method  900  ends with steps  918  and  920  with the CU  202  encrypting an operational key (OpKey) with DHKey2 and then transmitting the encrypted OpKey to the key fob  204 . After the OpKey has been shared with the key fob  204 , the CU  202  and the key fob  204  may be considered paired. 
         [0050]    The above discussion is meant to be illustrative of the principles and various embodiments of the present invention. Numerous variations and modifications will become apparent to those skilled in the art once the above disclosure is fully appreciated. It is intended that the following claims be interpreted to embrace all such variations and modifications.