68 results about "Time-invariant system" patented technology

Operational data is utilized to determine the FEXT interference induced by one line into the other DSL line. FEXT interference can be calculated using the NEXT interference measured between the two lines at the upstream ends of the loops and the downstream channel transfer function of one of the loops. Because the NEXT and transfer function constitute a linear time-invariant system, as does the FEXT interference between the lines, the NEXT interference and line transfer function can be multiplied (if in linear format) or added (if in logarithmic format) to approximate the FEXT interference between the lines. The collection of data, calculations and other functions performed in these techniques may be performed by a system controller, such as a DSL optimizer. An Xlog(u,n) quantity is a decibel-magnitude representation of the insertion-loss equivalent of FEXT transfer functions and is defined as the ratio of (1) a line u's source power into a matched load of 100 Ohms when no binder is present to (2) the power at the output of the subject line when line u is excited with the same source and the binder is present. Xlin(u,n) is the linear equivalent of Xlog(u,n). The Xlog(u,n) and Xlin(u,n) quantities may be represented in specific formats that assist in their use in DSL and other systems. When defined as a line's insertion loss, Xlin (or equivalently Xlog) does not include the effect of any transmit filter.

Systems and methods for reducing power consumption of systems using serialized data transmission. In a multi-node system, the reiterative steps for the setup of the lanes within links between the nodes produces both a time invariant set of parameters associated with the channel properties of the lanes and a time variant set of parameters associated with receiver clock alignment. The time invariant set is stored in persistent storage. Links may be turned on and turned off. When a link is turned on again, the stored time invariant set may be used as initial values to reconfigure both the time invariant and the time variant sets, thereby greatly reducing the delay to begin using the link again. The reduced delay may significantly speed up the wakening process for the links, thereby encouraging the use of low-power techniques that include tuning off lanes.

A method and apparatus are provided to model, analyze, and build linear time invariant systems with delays. The method and apparatus model a linear time invariant system as a linear fractional transformation of matrices of a delay free linear time invariant model with a bank of pure delays. The method and apparatus of the present invention can further accommodate input delays and output delays associated with the linear time invariant system with delays.