Abstract: An efficient method for optimizing RC circuit design to reduce delay. The method comprises: calculating a first moment and a second moment of impulse response for an RC circuit; (2) computing a delay value for each node of the RC circuit utilizing the first and second moments by multiplying the natural logarithm of 2 with a division of the squared power of the first impulse moment by the square root of the second impulse moment; and (3) analyzing each node to determine if the delay at that node is at a desired optimization condition for optimizing the circuit response.

Abstract: A method, system, and product are disclosed for determining an inductance of an entire integrated circuit package taken as a whole. A model is generated of the entire integrated circuit package which has a first port, a second port, and a third port. The first port of the model is coupled in parallel to an energy source and a resistor having a known resistance. The second port of the model is shorted. And, the third port of the model is opened. The package is simulated by exciting the first port utilizing the energy source and measuring a voltage at the first port in order to produce a waveform. A time constant is determined utilizing the waveform. The inductance of the entire integrated circuit package is then determined from the first port with respect to the second port using the known resistance and the time constant.

Abstract: A process for efficiently computing moments in an interconnected circuit begins by partitioning the circuit into sets of line-like two-port circuits. Next, capacitors are converted to equivalent current sources and inductors are converted to equivalent voltage sources. From a first port, any connected voltage source which is present in line is added to the port voltage source. Then, that voltage source combined with the connected resistor and the Thevenin equivalent circuit is converted to a Norton equivalent circuit. The current source created from the conversion is added to a current source in the circuit and the Norton equivalent circuit is converted back to a Thevenin equivalent circuit. The process is recursively performed until the opposite port is reached. The moment is then computed from the final Thevenin equivalent circuit by using the voltage and current at the port. The Thevenin-Norton-Thevenin recursive process is then repeated for the opposite port.

Abstract: A method of determining a circuit response (such as delay or slew) from a ramp input of an RC circuit calculates two circuit response parameters using a given circuit response metric based on a step input for the RC circuit, and extends the circuit response metric to a ramp input of the RC circuit by combining the first and second circuit response parameters to yield an estimated ramp response. The novel technique is based on the use of probability distribution functions and cumulative distribution functions to characterize the impulse response of the RC circuit, and the calculating steps derive the first and second circuit response parameters from such statistical distribution functions. In particular, the calculating steps may use a standard deviation or a mean of a probability distribution function corresponding to the circuit response parameter. In one application, the invention is used to estimate delay response for the ramp input of the RC circuit.