Distortion of signals communicated across a telecommunication line, such as digital subscriber line (xDSL) signals, for example, can be caused by numerous problems, and it can be difficult to diagnose the source of such problems. Various diagnostic techniques have been employed to identify or isolate the sources of communication problems that cause distortion to the signals communicated across telecommunication lines.
As an example, in an effort to isolate communication problems on a telecommunication line, detectors have been used to detect non-linear distortion. “Non-linear distortion” generally refers to distortion caused by a condition that distorts a signal such that the amplitude of the distorted signal does not have a linear relationship to the amplitude of the signal prior to the distortion. In general, non-linear distortion on telecommunication lines is caused by a limited number of problems, such as degraded splices or faulty lightning protectors, and determining whether signals transmitted along a telecommunication line are subject to a significant amount of non-linear distortion can help to diagnose the source of a significant communication problem.
Unfortunately, detecting non-linear distortion can be difficult or burdensome. For example, non-linear distortion can be detected using non-linear echo canceller and non-linear equalization techniques, such as truncated Volterra polynomial expansion and piece-wise linear approximation. However, such techniques are complex and costly to implement. In another example, equipment referred to as transmission impairment measurement sets or “TIMS” can be used to detect non-linear distortion. However, such equipment is expensive, and technicians often expend a relatively large amount of time and effort in interfacing this test equipment with various telecommunication lines for non-linear distortion testing.
Moreover, simpler, less expensive, and less burdensome approaches to detecting non-linear distortion are generally desirable.
Generally, embodiments of the present disclosure provide systems and methods for detecting non-linear distortion of signals communicated across telecommunication lines.
A system for detecting non-linear distortion in accordance with one exemplary embodiment of the present disclosure comprises an error detector and logic. The error detector is configured to detect signal errors based on signals communicated across a telecommunication line. Each of the signal errors is associated with a respective one of the signals. The logic is configured to determine a value indicative of a number of the errors that are within a specified range, and the logic is further configured to detect whether the signals are subject to non-linear distortion based on the value.
A system for detecting non-linear distortion in accordance with another exemplary embodiment of the present disclosure comprises an error detector and logic. The error detector is configured to detect signal errors associated with signals communicated across a telecommunication line. The logic is configured to detect non-linear distortion of the signals based on whether an error distribution associated with the signal errors is asymmetrical.
A system for detecting non-linear distortion in accordance with yet another exemplary embodiment of the present disclosure comprises an error detector and logic. The error detector is configured to estimate signal errors associated with signals communicated across a telecommunication line. The logic is configured to track the signal errors and to detect whether the signals are subject to non-linear distortion based on a history of the signal errors.
The disclosure can be better understood with reference to the following drawings. The elements of the drawings are not necessarily to scale relative to each other, emphasis instead being placed upon clearly illustrating the principles of the disclosure. Furthermore, like reference numerals designate corresponding parts throughout the several views.
The present disclosure generally pertains to systems and methods for detecting non-linear distortion of signals communicated across a telecommunication line. A non-linear distortion detection system in accordance with an exemplary embodiment of the present disclosure is implemented within or is in communication with a receiver that is receiving data signals from a telecommunication line. The non-linear distortion detection system detects the error associated with each received data signal. By tracking the data signal error over time, the detection system is able to determine whether the data signals are subject to non-linear distortion.
As shown by
As shown by
An analog signal transmitted over the telecommunication line 25 from the remote transceiver 27 is coupled through transformer 46 and hybrid network 44 and is applied to an analog filter 52, which filters the received analog signal and provides a filtered analog signal to an analog-to-digital (A/D) converter 54. The A/D converter 54 converts the filtered analog signal into a digital signal, which is filtered by a digital filter 57. A differential summer 59 combines this filtered digital signal with an echo cancellation signal from an echo canceller 63 in order to cancel, from the filtered digital signal, echoes of signals transmitted by the transceiver 23 over the telecommunication line 25. The combined signal from the differential summer 59 is then received by the receiver 21.
Various known or future-developed echo cancellers may be used to implement the echo canceller 63 of
As shown by
The decoded signal output from the decoder 77 is received by a descrambler 81 and a deframer 83 that respectively descramble and deframe the decoded signal. The signal output by the deframer 83 may then be processed by any data processing device (e.g., a computer, a telephone, a facsimile machine, etc.) in communication with the receiver 21.
For each decoded signal, an error detector 84 residing within the decoder 77 detects the amount of error associated with the signal and provides an error signal 85 that is indicative of the amount of error detected by the error detector 84 for the decoded signal. Note that many conventional decoders are implemented with such an error detector. Thus, for many conventional decoders, reconfiguration of the decoder will be unnecessary to implement the decoder 77 within the non-linear distortion detection system 20 described herein. However, it is unnecessary to implement the error detector 84 within a decoder 77 as is shown by
In general, the amount of error detected for a signal refers to the difference between the signal's value, as received by a receiver, and the signal's value, as originally transmitted by a transmitter. For example, if the transceiver 23 (
The detection logic 88 can be implemented in software, hardware, or a combination thereof. In an exemplary embodiment illustrated in
Note that the detection logic 88, when implemented in software, can be stored and transported on any computer-readable medium for use by or in connection with an instruction execution system, apparatus, or device, such as a computer-based system, processor-containing system, or other system that can fetch and execute instructions. In the context of this document, a “computer-readable medium” can be any means that can contain, store, communicate, propagate, or transport a program for use by or in connection with the instruction execution system, apparatus, or device. The computer readable-medium can be, for example but not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, device, or propagation medium. Note that the computer-readable medium could even be paper or another suitable medium, upon which the program is printed, as the program can be electronically captured, via for instance optical scanning of the paper or other medium, then compiled, interpreted or otherwise processed in a suitable manner if necessary, and then stored in a computer memory.
The exemplary embodiment of the non-linear distortion detection system 20 depicted by
The detection logic 88, based on the error signal 85, tracks the error (referred to hereafter as “signal error”) detected by the error detector 84 and, based on a history of the signal error, determines whether the decoded signals are subject to a significant amount of non-linear distortion. In this regard, for pulse amplitude modulation (PAM), the error distribution of the signal errors detected by an error detector within a decoder normally appears as a Gaussian bell-shaped curve with two tails, referred to herein as a “negative tail” and a “positive tail,” respectively located at the ends of the Gaussian bell-shaped curve, as will be described in more detail hereinbelow.
The Gaussian bell-shaped curve 112 of
When very little non-linear distortion occurs to the signals communicated across telecommunication line 25 (
However, when significant non-linear distortion occurs to the signals communicated across telecommunication line 25, the tail distribution is substantially asymmetrical. For example,
An asymmetric tail distribution is generally caused by the detection of substantially more positive errors than negative errors or vice versa. As used herein, a “positive error” is a signal error that results in a positive value for the error signal 85, and a “negative error” is a signal error that results in a negative value for the error signal 85. For example, if the value of the error signal 85 is obtained by the error detector 84 (
Note that
Referring to
If the difference in the total number of positive errors exceeding the positive threshold and the total number of negative errors below the negative threshold is significant (e.g., the difference exceeds a specified threshold), then the detection logic 88 detects the presence of non-linear distortion. In such a situation, the detection logic 88 provides a non-linear distortion indication via output device 99 (
Note that the non-linear distortion indication provided by the detection logic 88 may comprise a visual or a verbal message explaining that non-linear distortion has been detected. In another embodiment, the non-linear distortion indication may be communicated by activating a light source (e.g., a light emitting diode) or a sound source such that a visual or non-visual alarm is generated when non-linear distortion is detected by the detection logic 88. In another embodiment, the detection logic 88 may transmit a message to a remote network management system that is monitoring many other transceivers in addition to the transceiver 23 shown by
Further note that the thresholds described above (i.e., the positive threshold, the negative threshold, and the specified threshold) may be determined empirically. For example, different values of these thresholds may be used during different time periods when it is known whether or not signals communicated across a telecommunication line 25 or a simulated telecommunication line are subject to non-linear distortion. Thresholds providing accurate results (i.e., accurately indicating when signals communicated across the telecommunication line under test are subject to non-linear distortion) may then be used to enable the detection logic 88 to detect non-linear distortion on the telecommunication line 25 according to the techniques described herein.
Initially, the signal error (e) for y number of decoded symbols is calculated by the error detector 84 in block 149 of
After y number of signal error values have been calculated, the detection logic 88 calculates Λ, which is preferably the square root of the average of the square of the signal error, as shown by block 152. Thus, to calculate Λ, the detection logic 88 squares each of the aforementioned y signal error values and sums these squared values. The detection logic 88 then divides the result by y and takes the square root of the resulting value. In one exemplary embodiment, y is equal to 10,000. However, y may be equal to other values in other embodiments.
Note that Λ is a measure of the average signal quality associated with the signals decoded by the decoder 77 during the time period that the y samples are taken. Other techniques for determining the signal quality associated with the sampled signals may be used to determine Λ in other embodiments.
After establishing Λ, the positive threshold, α, and the negative threshold, −α, are calculated by the detection logic 88. In this regard, α equals μΛ and −αequals −μΛ, where the value of μ is empirically determined. Experiments have shown that a value of μ between 2.0 and 3.0 provides reliable results, although other values of μ are possible.
As shown by block 156, z number of signal error samples are taken, as shown by block 156. In this regard, the signal error (e) for each of the z number of decoded symbols is calculated by the error detector 84. For each decoded symbol, the error detector 84 calculates the symbol's error and transmits this calculated error value to detection logic 88 via error signal 85. The detection logic 88 stores the signal error (e) received from error detector 84 as error data 151 (
For these z signal errors, the detection logic 88 calculates the positive error function (pef) and the negative error function (nef) in block 163. The positive error function is equal to the number of z signal error values that exceed the positive threshold, α, and the negative error function is equal to the number of z signal error values that are below the negative threshold, −α.
After calculating the positive and negative error functions, the detection logic 88 determines whether the positive error function (pef) is greater than ρ·(nef) or whether the negative error function (nef) is greater than ρ·(pef), as shown by blocks 196 and 197. Note that ρ is a statistical parameter based on the number of samples taken (i.e., the value of z) and the desired confidence level of the detection process. Preferably, ρ has a value greater than 1.0 and the higher the value of ρ, the lower the confidence level that a given amount of nonlinearity will be detected for a given number of samples (i.e., for a given z). However, as z increases, it is possible to increase the value of ρ without significantly affecting the confidence level of the detection process since more samples inherently provide a more reliable result. Moreover, for z equal to 10,000, a value of 1.75 for ρ has been found to provide reliable results. However, other values of ρ are possible.
If “no” determinations are made in blocks 196 and 197, then the positive and negative tails of the error distribution for the z samples taken by the error detector 84 are substantially symmetrical. Thus, a non-linear distortion indication is not provided, and the process of taking new z samples of signal error and statistically analyzing the error distribution of the new z samples, as shown by blocks 156, 163, 196, and 197 is repeated. However, if a “yes” determination is made in either block 196 or 197, then the positive and negative tails of the error distribution for the z samples taken by the error detector 84 are substantially asymmetrical. In such a case, the detection logic 88 provides a non-linear distortion indication in block 199. Providing such an indication informs a user that the detection logic 88 has detected non-linear distortion in the signals associated with the z samples taken in the last occurrence of block 156. The confidence level may be increased by requiring several of these non-linear distortion indications in a row before declaring that the signal is indeed affected by non-linear distortion.
It should be noted that various methodologies may be used to implement the functionality of
It should be further noted that if the transceiver 23 is configured to communicate quadrature amplitude modulated signals, then the distribution of the error detected by decoder 77 appears differently than the Gaussian bell-shaped curves depicted by
Moreover, to detect when the error distribution of transceiver 23 is asymmetric while employing QAM and, therefore, to detect non-linear distortion, the detection logic 88 may be configured to determine the average error magnitude for each of the quadrants, as shown by blocks 212 and 214 of
After determining the average error magnitude for each quadrant, the detection logic 88 may then determine an error magnitude ratio (emr) by summing the error magnitude of Quadrants I and III and dividing this sum by the sum of the error magnitude of Quadrants II and IV, as shown by block 217. The error magnitude ratio may then be compared to an upper threshold (THU) and a lower threshold (THL), as shown by blocks 221 and 223. The upper threshold is preferably set such that the error magnitude ratio exceeds the upper threshold only if the sum of the average error magnitude for Quadrants I and III are significantly higher than the sum of the average error magnitude for Quadrants II and IV thereby indicating that non-linear distortion is present on the telecommunication line 25. Further, the lower threshold is preferably set such that the error magnitude ratio falls below the lower threshold only if the sum of the average error magnitude for Quadrants II and IV are significantly higher than the sum of the average error magnitude for Quadrants I and III thereby indicating that non-linear distortion is present on the telecommunication line 25. Moreover, if the error magnitude ratio is greater than the upper threshold or less than the lower threshold, then the detection logic 88 provides a non-linear distortion indication in block 225.