Data indicative of a level of stability of a DSL link is received. Based on the received data, it is determined whether the data indicates a level of stability of the DSL link that is above or below a minimum threshold. If the level of stability of the DSL link is below the minimum threshold, die noise associated with the DSL link before the time of failure is compared with the noise associated with the DSL link after the time of failure. If the difference between the noise before and after the time of failure exceeds a threshold, then the difference in noise is characterized as a stationary noise associated with the DSL link. However, if the difference between the noise before and after the time of failure is below the threshold, a determination is made whether the failure is associated with a loss of power to the DSL link or a severe impulse noise event—the difference in noise is characterized accordingly. Finally, the characterization of the noise associated with the DSL link is preserved for subsequent possible reconfiguration of the DSL link to improve link stability.