Abstract:
Analysis of an electrical circuit is performed using a computer program product (60) and a method. In accordance with the program and the method, a electrical circuit analyzer generates an admittance matrix (Y) for an electrical circuit which is being analyzed. The admittance matrix includes symbolic expressions rather than numerical expressions for at least some components of the electrical circuit. The electrical circuit analyzer linearly and algebraically solves an equation system including the admittance matrix for analyzing at least apart of the electrical circuit. The electrical circuit analyzer uses symbolic computation to solve the equation system including the admittance matrix for analyzing at least a part of the electrical circuit. The equation system including the admittance matrix can be solved in various types of analyses, including (1) determining a transfer function between specified nodes of the electrical circuit; and (2) optimizing a component of the electrical circuit. The electrical circuit analyzer sets up the admittance matrix Y by following a set of "rules". Special rules are provided for certain telecommunications components, such as multi-winded transforrs, loading coils, line-drivers, analogue cables, and filters. In accordance with a block/subcircuit matrix approach, an overall circuit is divided into plural subcircuits.
Abstract:
The present invention relates to an arrangement for analyzing transmission line properties. Measurement data providing means (10) provide data of a first frequency dependent line property, line property calculation arrangement (20) with model handling means (21A), a Hubert transform handler (22) and line property determination means (23) calculate said first property based on model parameters, line resistance at 0 frequency, roc r cut-off frequency, v, line capacitance C8r and line inductance ?^. The line model handling means (21A) calculates the line inductance L(J) via a Hubert transform of Q(f/v)r relating line resistance R(J) to roc such as formula (I). The Hilbert transform values are calculated using a parameterized closed form expression for the Hubert transform or they are tabulated. The line property determination means (23; 23A) calculates the first property and criteria function application means (40) uses the measured first property and the calculated first property for model parameters to find optimized numerical model parameter values.
Abstract:
An echo canceller reduces an echo signal produced when the transmitted signal leaks back into the receiver via a hybrid. The echo canceller estimates the echo signal from the transmitted signal, and then subtracting the estimated echo signal from the received signal. In practice, the echo path channel in a DMT-modem is much longer than the cyclic prefix, and therefore, the received echo signal will be subjected to both ISI (inter-symbol-interference) and ICI (inter-carrier-interference). A traditional echo canceller, designed for a xDSL-modem, uses either a time domain adaptive FIR-filter or a combined echo canceller implemented in both time and frequency domain. A matrix-based adaptive echo canceller is implemented in the frequency domain. Various example embodiments are disclosed.