Abstract:
The ability to accurately and efficiently calculate and report communication errors is becoming more important than ever in today&#39;s communications environment. More specifically calculating and reporting CRC anomalies in a consistent manner across a plurality of communications connections in a network is crucial to accurate error reporting. Through a normalization technique applied to a CRC computation period (e.g., the PERp value), accurate error identification and reporting for each individual connection can be achieved.

Description:
RELATED APPLICATION DATA 
   This application claims the benefit of and priority under 35 U.S.C. § 119(e) to U.S. patent application No. 60/613,594, filed Sep. 25, 2004, entitled “CRC Counter Normalization Method and System,” which is incorporated herein by reference in its entirety. 

   BACKGROUND 
   1. Field of the Invention 
   This invention generally relates to communication systems. More particularly, an exemplary embodiment of this invention relates to anomaly detection in communications systems. 
   2. Description of Related Art 
   Cyclic Redundancy Checksum (CRC) error detection is a common method of detecting errors in a data stream transmitted over a communications channel. ITU standard G.992.3, which is incorporated herein by reference in its entirety, describes CRC operations for ADSL systems in section 7.7.1.2. As discussed in G.992.3, the transmitter computes the transmitter CRC bits based on the transmitted bit stream and sends the CRC bits to the receiver. The receiver also computes the CRC bits based on the received bit stream and compares the locally computed CRC bits to the received CRC bits that were sent from the transmitter. If the receiver and transmitter CRC bits are identical, then the CRC computation indicates that there are no errors in the received bit stream. If however the received and transmitted CRC bits are not identical, then the CRC computation indicates that there are errors in the received bit stream. 
   DSL systems, and communications systems in general, use CRC errors, which are also known as anomalies, to diagnose and detect problematic service conditions. These CRC anomalies are typically computed, counted and reported based on some fundamental assumptions on how often the CRCs are computed. For example, in an ADSL systems, such as those specified in G.992.3, Severely Errored Seconds (SESs) are defined as 18 or more CRC anomalies in a 1-second interval. This corresponds to approximately 30 percent of computed CRCs being in error if the CRC is computed every 17 ms. The G.992.3 ADSL standard requires that the CRC is computed every 15 to 20 msecs. In ADSL 2 and VDSL 2 systems, the period of the CRC computation is called the period of the overhead channel (PERp). The G.992.3 standard requires that:
 
15 ms≦ PERp ≦20 ms.
 
   SUMMARY 
   Digital subscriber line service providers use CRC anomaly reporting as a way to diagnose and detect problematic service conditions. For example, an ADSL service provider may use SESs as a way to detect an ADSL connection that is experiencing problems. For example, an ADSL service provider may specify that if an ADSL subscriber is experiencing more than 30 SESs in a 1-minute period, the ADSL connection needs to be repaired. For this reason, it is important that an SES is reported in a consistent manner across all connections in the service provider network. 
   As discussed above, if an ADSL system is determining CRCs every 17 ms (the PERp as required by the standard), Severely Errored Seconds (SESs) are defined as 18 or more CRC anomalies in a 1-second interval, then an SES will occur whenever approximately 30 percent of the computed CRCs are in error in a 1-second interval. But if, for example, CRCs are computed every 2 ms, and a SES is still defined as 18 or more CRC anomalies in a 1-second interval, then 18 CRC anomalies will correspond to only 3.6 percent of a computed CRC being in error. In this case, the service provider may receive a repair alarm and dispatch a network technician to fix a connection that is only experiencing a small number of errors. 
   Most communications systems specify CRC operations in a manner that restricts the CRC computation to be within a specified and bounded repetition period or rate in order to provide consistent detection and diagnostic capabilities across all connections, such as DSL subscriber connections, in a network. 
   New designs and innovations in communications systems are making it more difficult to ensure that CRC computations are bounded in such a manner. For example, G.992.3 specifies Seamless Rate Adaptation (SRA) and Dynamic Rate Repartition (DRR) that allow an ADSL system to make seamless changes in data rates on-line. However, SRA and DRR modify the data rate without changing the framing parameters. As a result, the PERp will change in proportion to the data rate change. 
   For example, a data rate increase of 10 percent will cause the PERp to decrease by 10 percent. A problem is that since PERp is only allowed to vary between 15 and 20 ms, SRAs and DRRs are limited to small data rate changes, usually within 10 to 15 percent. 
   It is often desirable to have large data rate changes. Large data rate changes typically result in PERp values that are outside of the range of 10-20 ms. In this case, as discussed above, ADSL service providers will encounter problems with the diagnostic procedures which are based on CRC anomalies to detect problematic connections. 
   New communications systems, such as VDSL, VDSL2, and other higher-speed wired and wireless communications systems are specifying data rates that occupy a very large range, starting, for example, as low as 500 kbps and going as high as 100 mbps or more. With ranges this large, it is difficult to design a framing method for all possible data rates that includes a CRC procedure that restricts the CRC computation to be within a specified and bounded repetition period. 
   Part of this difficulty is attributable to the fact that the accuracy of the error detection of the CRC is correlated to the number of bits in the CRC computation period (the accuracy of the CRC error detection decreases as the number of bits in the CRC computation period increases). For example, if the CRC computation is done every 20 ms, and the data rate is 1 mbps, there will be 20,000 bits in every CRC computation period. 
   However, if the data rate is 100 mbps, and the CRC computation period is 20 ms, then there will be 20 million bits in every CRC computation period. Clearly, the CRC error detection capability will be decreased in the latter case. In general, under normal operating conditions, the one octet CRC used in DSL systems provides adequate error detection if the CRC computation period contains less than 100,000 bits. 
   Accordingly, an exemplary aspect of this invention relates to calculating and reporting communication errors. More particularly, an exemplary aspect of this invention relates to calculating and reporting CRC anomalies in a consistent manner for all communications connections in a network independent of data rate or the CRC computation period (e.g., the PERp value) of each individual connection. 
   Additional aspects of the invention relate to handling CRC anomalies (errors) in such a manner that they are reported in a consistent way regardless of the data rate or the CRC computation. An exemplary aspect defines a procedure for normalizing CRC anomaly counters based on an actual CRC computation period. 
   According to an additional exemplary aspect of this invention, the CRC anomaly counter normalization procedure normalizes the CRC anomaly counter based on the current, or actual, PERp value. 
   According to an additional exemplary aspect of this invention, CRC anomaly counter normalization procedures are applied to a plurality of communications devices in a network based at least on a data rate. 
   According to an additional exemplary aspect of this invention, different CRC anomaly counter normalization procedures are applied to each of a plurality of communications devices in a network based at least on a data rate. 
   These and other features and advantages of this invention are described in, or are apparent from, the following description of the embodiments. 

   
     BRIEF DESCRIPTION OF THE DRAWINGS 
     The embodiments of the invention will be described in detail, with reference to the following figures, wherein: 
       FIG. 1  is a functional block diagram illustrating an exemplary communication system according to this invention; 
       FIG. 2  is a flowchart outlining an exemplary method for normalizing a CRC counter according to this invention. 
       FIG. 3  is a flowchart outlining in greater detail an exemplary method of CRC normalization according to this invention; 
       FIG. 4  is another exemplary embodiment for normalizing CRC normalization according to this invention; and 
       FIG. 5  is a functional block diagram illustrating a second exemplary communication system according to this invention. 
   

   DETAILED DESCRIPTION 
   The exemplary embodiments of this invention will be described in relation to detecting errors in a wired and/or wireless communications environment. However, it should be appreciated, that in general, the systems and methods of this invention will work equally well for any type of communication system in any environment. 
   The exemplary systems and methods of this invention will be described in relation to DSL modems and associated communication hardware, software and communication channels. However, to avoid unnecessarily obscuring the present invention, the following description omits well-known structures and devices that may be shown in block diagram form or otherwise summarized. 
   For purposes of explanation, numerous details are set forth in order to provide a thorough understanding of the present invention. It should be appreciated however that the present invention may be practiced in a variety of ways beyond the specific details set forth herein. 
   Furthermore, while the exemplary embodiments illustrated herein show the various components of the system colocated, it is to be appreciated that the various components of the system can be located at distant portions of a distributed network, such as a telecommunications network and/or the Internet, or within a dedicated secure, unsecured and/or encrypted system. Thus, it should be appreciated that the components of the system can be combined into one or more devices, such as a modem, or colocated on a particular node of a distributed network, such as a telecommunications network. As will be appreciated from the following description, and for reasons of computational efficiency, the components of the system can be arranged at any location within a distributed network without affecting the operation of the system. For example, the various components can be located in a Central Office (CO or ATU-C) modem, a Customer Premises Modem (CPE or ATU-R), a DSL management device, or some combination thereof. Similarly, on or more functional portions of the system could be distributed between a modem and an associated computing device. 
   Furthermore, it should be appreciated that the various links, including communications channel  5 , connecting the elements can be wired or wireless links, or any combination thereof, or any other known or later developed element(s) that is capable of supplying and/or communicating data to and from the connected elements. The term module as used herein can refer to any known or later developed hardware, software, firmware, or combination thereof that is capable of performing the functionality associated with that element. Furthermore, in order to simplify notation, throughout this specification the term PERp will be used to denote the CRC computation period. The terms determine, calculate and compute, and variations thereof, as used herein are used interchangeably and include any type of methodology, process, mathematical operation or technique. 
   An exemplary embodiment of the present invention relates to CRC normalization in asymmetric DSL (ADSL) service. However, and in general, it is to be appreciated that this methodology can be applied to any one or more of a communications line or digital communications line. 
     FIG. 1  illustrates an exemplary embodiment of the communication system  10  according to this invention. It should be appreciated that numerous functional components of the transceivers have been omitted for clarity. However, it should be understood that either transceiver can also include the standard components found in typical communications device(s) in which the technology of the subject convention is implemented into. 
   The communications system  10  includes a transceiver  100  and a transceiver  200 . The transceiver  100 , acting as a transmitting transceiver, includes a CRC bits computation module and a CRC bits transmission module. The two transceivers are interconnected by communications channel  5 , which, as discussed above, can be one or more of a wire line and wireless communication channel. The transceiver  200  comprises a CRC bits computation module  210 , a CRC bits reception module  220 , a CRC bits comparison module  230 , a CRC error counter and reporting module  240 , a PERp determination module  250 , a normalization module  260 , a CRC grouping module  270  and a communication parameter module  280 . 
   In accordance with an exemplary embodiment, a CRC anomaly is counted as:
 
PERp/K normalized anomalies,
 
where K is any positive integer. For example, if K=20 and the PERp=25, then each CRC anomaly is counted as 1.25 normalized CRC anomalies. In general, K will correspond to a value equal to an expected period of CRC computations based on which the system diagnostic information is reported. For example, in ADSL and VDSL systems, K can be equal to 15 ms since this corresponds to approximately 66 CRC computations per second. As discussed above, a Severely Errored Second is reported when there are more than 18 CRC anomalies in a second, which corresponds to approximately 30 percent of the CRC computations being in error.
 
   Since CRC anomalies are typically reported as integer numbers, the accumulated CRC anomaly count can be rounded up to the next higher integer. For example, if the PERp=28, then each CRC anomaly is counted as 28/20=1.4 normalized CRC anomalies. If there 23 CRC anomalies detected over a period of time, the accumulated CRC anomaly counter could contain ceiling (23*1.4)=ceiling (32.2)=33 normalized CRC anomalies, where ceiling indicates a rounding in the upward direction. 
   In operation, the transceiver  100 , which in this exemplary embodiment is operating as a transmitting transceiver or transmitting modem, computes CRC bits based on a transmitted bit stream. More specifically, a bit stream is transmitted from the transceiver  100  with the CRC bits computation module  110  determining CRC bits based on the transmitted bit stream. The number of CRC bits is usually 8(1 octed), however the number of bits can be varied based on, for example, the specific implementation of the invention. In conjunction with the CRC bits transmission module  120 , the transceiver  100  sends the transmitted bit stream along with the corresponding computed CRC bits to transceiver  200  via communications channel  5 . 
   The transceiver  200 , which can also be referred to as the receiving transceiver or receiving modem, receives the bit stream transmitted by the transceiver  100  and, with the cooperation of the CRC bits reception module  220 , the CRC bits that were determined by the CRC bits computation module  110 . Upon receipt of the bit stream, the CRC bits computation module  210  also computes CRC bits (i.e., the local CRC bits) based on the received bit stream. Knowing the CRC bits determined by the CRC bit computation module  110 , and the CRC bits computed by the CRC bit computation module  210 , the CRC bits comparison module  230  performs a comparison between the two and, in conjunction with the CRC error counter and reporting module  240 , computes and identifies a CRC anomaly when the local CRC bits are not identical to the received CRC bits determined in transceiver  100 . 
   The PERp determination module  250  then determines a value for the period of a CRC computation (PERp). This period can be, for example, in seconds or in general any time period as appropriate for the particular communication environment. In conjunction with the normalization module  260 , the CRC error counter and reporting module  240  is normalized based on the PERp value, where the normalizing of the CRC error counter  240  comprises incrementing the CRC error counter by a value of M wherein the value of M is:
 
PERp/K,
 
where K is a positive integer.
 
   The communication parameter module  280  monitors communication parameters, such as one or more of data rate, Forward Error Correction, interleaving, framing, or in general any communication parameter, and triggers the determination of an updated value for the period of a CRC computation should one or more of these parameters change. This updated or second value for the period is then used by the CRC anomaly counter for subsequent CRC anomaly counts. 
   In a second exemplary embodiment, CRC computations are combined into groups of ceiling(K/PERp) CRC computations and any number of CRC anomalies in a group is counted as only 1 normalized CRC anomaly, where K is a positive integer. In general, K will correspond to a value equal to an expected period of CRC computations based on which the system diagnostic information is reported in conjunction with the CRC error counter and reporting module  240 . The CRC computations are grouped in this manner in order to avoid over counting the CRC anomalies in that multiple CRC anomalies that occur within a specific time period (e.g., K ms) may the need to be counted as a single normalized CRC anomaly. 
   EXAMPLES 
   K=15 ms and PERp=10 ms: CRC computations are combined in groups of ceiling(15/10)=2 CRC computations. The first 2 CRC computations are the first group, the second 2 CRC computations are the second group, and so on. One or more CRC anomalies in a group are counted as 1 normalized CRC anomaly.
 
K=25 and PERp=4 ms: CRC computations are combined in groups of ceiling(15/4)=4 CRC computations. The first 4 CRC computations are the first group, the second 4 CRC computations are the second group, and so on. One or more CRC anomalies in a group are counted as 1 normalized CRC anomaly
 
   If correct CRC computations are denoted as “o” and errored CRC computations (anomalies) as “x,” then for the following stream of CRC computations:
 
oooxxxooxoxoxxxxoooooxxooxoooooo
 
if PERp=10, then 9 normalized CRC anomalies are counted:
 
oo ox xx oo xo xo xx xx oo oo ox xo ox oo oo oo
 
If PERp=4, then 6 normalized CRC anomalies are counted:
 
ooox xxoo xoxo xxxx oooo oxxo oxoo oooo
 
   The CRC computations could also be combined in groups based on some metric other than ceiling(K/PERp). For example, floor(K/PERp) could be used or 2*ceiling(K/PERp). In general, groups of CRC computations can be based on the metric:
 
N*ceiling(K/PERp)
 
where, N and K are positive integer values and where floor indicates a rounding in the downward direction.
 
   Alternatively, and in addition, the CRC anomalies in a group could be counted as more than 1 normalized CRC anomaly. For example, 1 CRC anomaly in a group could be counted as 1 normalized CRC anomaly. 2-3 CRC anomalies in a group could be counted as 2 normalized CRC anomalies. 4-6 CRC anomalies in a group could be counted as 4 normalized CRC anomalies, and so on. 
   Alternatively, and in addition, a sliding window could be used when grouping the CRC computations. 
   Alternatively, and in addition, the normalized CRC anomalies may be scaled again based on the time duration of the group of CRC computations. For example, if the PERp is equal to 14 ms, then the CRC computations are combined in groups of ceiling( 14/15)=2 CRC computations. According to the method described above, 1 normalized CRC anomaly is counted for each group of 2 CRC computations containing at least 1 CRC anomaly. But combining the CRC computations into groups of 2 results in an effective CRC computation period of 2*14=28 ms which exceeds the 20 ms requirement of the G.992.3 standard. In this case, as was done above when PERp&gt;20 ms, the CRC anomalies can be scaled again to make the CRC anomaly counts more accurate. For example, the 1 normalized CRC anomaly can be further scaled and counted as (28)/20=1.4 normalized CRC anomalies. 
   More generally, if the time duration of the group of CRC computations exceeds the required range (e.g. 20 ms for G.992.3 ADSL systems) then:
 
1 normalized group  CRC  anomaly=[(time duration of  CRC  group)/ K ]normalized  CRC  anomalies
 
where K is a positive integer. For example K could also take on the values of 15, 17.5, or 20, which correspond to lower, middle and upper values in the range of the PERp values in the G.992.3 standard.
 
   Using the G.992.3 ADSL standard as an example the values of PERp for which the normalized CRC anomalies could be determined and further scaled (or normalized) to account for the fact that the time duration of the CRC group is longer than 20 ms:
 
10&lt;PERp&lt;15
 
   When the PERp value is greater than 10 and less than 15, each group of CRC computations will contain 2 CRC computations (as based on ceiling(15/PERp)). For this range of PERp values, the time duration of each CRC group will be longer than 20 ms. For example, if PERp=12 ms, then the time duration of the CRC group will be 2*(12 
   ms)=24 ms. In this case, the normalized CRC computations can be further normalized or scaled by 2*PERp/K, where K is equal to an integer such as 15, 17 or 20.
 
6.67&lt;PERp&lt;7.5
 
   When the PERp value is greater than 6.67 and less than 7.5, each group of CRC computations will contain 3 CRC computations (as based on ceiling(15/PERp)). For this range of PERp values, the time duration of each CRC group will be longer than 20 ms. For example, if PERp=7 ms then the time duration of the CRC group will be 3*(7 ms)=21 ms. In this case the normalized CRC computations can be further normalized or scaled by 3*PERp/K, where K is equal to an integer such as 15, 17 or 20. 
   As a result, in one exemplary embodiment of this invention, normalized CRC anomalies in an ADSL or VDSL2 system are further normalized (or scaled) if the PERp value is between 10 and 15 ms or between 6.67 and 7.5 ms. 
   In another exemplary embodiment the PERp changes are based on a change in an on-line data rate, for example due to an SRA or a DRR change. In this case, the CRC normalization procedure would be updated based on the new PERp value, where the new PERp value is associated with the updated data rate. 
     FIG. 2  outlines a high-level overview of an exemplary embodiment of CRC normalization according to this invention. In particular, control begins in S 200  and continues to step S 210 . In step S 210 , a CRC computation period (PERp), or updated CRC computation period (PERp), is received or determined. Then, in step S 220 , the CRC error counter is normalized based on the CRC computation period (PERp) or the updated CRC computation period (PERp). Control then continues to step S 230  where the control sequence ends. 
     FIG. 3  outlines an exemplary embodiment of CRC normalization in greater detail. In particular, control begins in step S 300  and continues to step S 310 . In step S 310  the transceiver, acting as a transmitter, determines the CRC bits for a transmitted bit stream. The transceiver then sends the determined CRC bits and bit stream to the receiver in step S 320 . 
   In step S 330 , another transceiver, acting in its receiving capacity, receives the determined CRC bits and bit stream. Next, in step S 340 , CRC bits are determined for the received bit stream (local CRC bits). Next, in step S 350 , the local CRC bits are compared to the CRC bits determined and forwarded by the transmitter. Control then continues to step S 360 . 
   In step S 360 , the CRC computation period is determined. Next, in step S 370  the CRC anomaly counter is normalized based on the CRC computation period (PERp). Control then continues to step S 380 . 
   In step S 380 , a determination is made whether CRC errors or anomalies are present. If CRC errors are present, control continues to step S 390  otherwise control jumps to step S 395 . 
   In step S 390 , the CRC error count is generated and an indicator of severely errored seconds reported, if appropriate. In addition to the reporting of severely errored seconds, it should be appreciated that alternative action could also be taken upon the determination of CRC errors. For example, Errored Seconds (ES) could be reported, where an errored second is typically defined as a second in which there is one or more CRC error events. Alternatively, CRC errors can be compiled over periods of time other than seconds, such as minutes, hours or sub-second intervals. 
   In step S 395 , a determination is made whether there has been a change in communication parameters. If there has been a change in one or more communication parameters, control jumps back to step S 300  and the process repeated where a second or updated CRC computation period is determined in step S 360 . If there has not been a change in one or more communications parameters, control continues to step S 399  where the control sequence ends. 
     FIG. 4  outlines another exemplary embodiment of CRC normalization according to this invention. In particular, control begins in step S 400  and continues to step S 410 . In step S 410  the transceiver, acting its capacity as a transmitter, determines the CRC bits for a transmitted bit stream. The transceiver then sends the determined CRC bits and bit stream to the receiver in step S 420 . 
   In step S 430 , another transceiver, acting in its receiving capacity, receives the determined CRC bits and bit stream. Next, in step S 440 , CRC bits are determined for the received bit stream (local CRC bits). Next, in step S 450 , the local CRC bits are compared to the CRC bits determined and forwarded by the transmitter. Control then continues to step S 460 . 
   In step S 460 , the CRC anomalies are grouped. Next, in group S 470  a count is performed with control continuing in step S 480 . In step S 480 , a determination is made whether severely errored seconds are present. If severely errored seconds are present, control continues to step S 490 . 
   In step S 490 , an indicator of severely errored seconds is generated and, for example, forwarded to an appropriate destination or an action triggered. 
   In step S 495 , a determination is made whether there has been a change in communication parameters. If there has been a change in one or more communication parameters, control jumps back to step S 400  and the process repeated where an updated grouping is performed in step S 460 . If there has not been a change in one or more communications parameters, control continues to step S 500  where the control sequence ends. 
   It should be appreciated that while certain functionality described herein is illustratively performed in one or more of the transceiver  100  and transceiver  200  that some or all of the steps can be performed in any apparatus that may or may not be colocated with one or more of the transceiver  100  and transceiver  200 . For example, the functionality performed by the PERp determination module and normalization module can be outsourced to another module with the normalization value forwarded back to and applied to the CRC error counter and reporting module  240 . Moreover, the sequences of events described herein are for illustrative purposes only and may also be rearranged as appropriate. 
   More particularly,  FIG. 5  illustrates an exemplary embodiment of a CRC normalization management system. As with the communication system  10 , the CRC normalization management system includes one or more transceivers  100  each connected, via a communications channel, to the one or more transceivers  300 . Each of the transceivers  300  are in communication with the CRC management module  500 . The CRC management module  500  includes a PERp determination module  510 , a normalization and/or grouping module  520  and a CRC error counter and reporting module  530 . The CRC management module  500  at least allows normalization and/or grouping of one or more CRC error counts from a centralized location. For example, the CRC bits comparison modules  550  forward and indicator of a CRC error(s) to the CRC management module  500 . The transceiver  300  can also determine and forward a value for the period of a CRC computation (PERp) with the cooperation of the PERp determination module  540 . The management module, if needed, and with the cooperation of the PERp determination module  510 , can also determine a value for the period of a CRC computation (PERp) for each of the one or more transceivers  300 . 
   Having received a report of one or more errors from the one or more CRC bits comparison modules  550 , the normalization/grouping module updates the CRC error counter and reporting module  530  based on this value. In that each transceiver could be operating under different communication parameters, the values used to update the CRC error counter  550  could be transceiver specific, applied to a portion of the transceivers or to all transceivers. The CRC error counter and reporting module  530  could then output, as discussed above, a normalized CRC error count. For example, an indicator of severely errored seconds could be generated and, for example, forwarded to an appropriate destination or an action triggered. 
   The above-described system can be implemented on wired and/or wireless telecommunications devices, such a modem, a multicarrier modem, a DSL modem, an ADSL modem, an XDSL modem, a VDSL modem, a linecard, test equipment, a multicarrier transceiver, a wired and/or wireless wide/local area network system, a satellite communication system, a modem equipped with diagnostic capabilities, or the like, or on a separate programmed general purpose computer having a communications device or in conjunction with any of the following communications protocols: CDSL, ADSL2, ADSL2+, VDSL1, VDSL2, HDSL, DSL Lite, IDSL, RADSL, SDSL, UDSL or the like. 
   Additionally, the systems, methods and protocols of this invention can be implemented on a special purpose computer, a programmed microprocessor or microcontroller and peripheral integrated circuit element(s), an ASIC or other integrated circuit, a digital signal processor, a hard-wired electronic or logic circuit such as discrete element circuit, a programmable logic device such as PLD, PLA, FPGA, PAL, a modem, a transmitter/receiver, any comparable means, or the like. In general, any device capable of implementing a state machine that is in turn capable of implementing the methodology illustrated herein can be used to implement the various communication methods, protocols and techniques according to this invention. 
   Furthermore, the disclosed methods may be readily implemented in software using object or object-oriented software development environments that provide portable source code that can be used on a variety of computer or workstation platforms. Alternatively, the disclosed system may be implemented partially or fully in hardware using standard logic circuits or VLSI design. Whether software or hardware is used to implement the systems in accordance with this invention is dependent on the speed and/or efficiency requirements of the system, the particular function, and the particular software or hardware systems or microprocessor or microcomputer systems being utilized. The communication systems, methods and protocols illustrated herein however can be readily implemented in hardware and/or software using any known or later developed systems or structures, devices and/or software by those of ordinary skill in the applicable art from the functional description provided herein and with a general basic knowledge of the computer and telecommunications arts. 
   Moreover, the disclosed methods may be readily implemented in software that can be stored on a storage medium, executed on programmed general-purpose computer with the cooperation of a controller and memory, a special purpose computer, a microprocessor, or the like. In these instances, the systems and methods of this invention can be implemented as program embedded on personal computer such as JAVA® or CGI script, as a resource residing on a server or computer workstation, as a routine embedded in a dedicated communication system or system component, or the like. The system can also be implemented by physically incorporating the system and/or method into a software and/or hardware system, such as the hardware and software systems of a communications transceiver. 
   It is therefore apparent that there has been provided, in accordance with the present invention, systems and methods for CRC normalization. While this invention has been described in conjunction with a number of embodiments, it is evident that many alternatives, modifications and variations would be or are apparent to those of ordinary skill in the applicable arts. Accordingly, it is intended to embrace all such alternatives, modifications, equivalents and variations that are within the spirit and scope of this invention.