Computation of signal threshold crossing times directly from higher order moments

—This paper introduces a simple method for calculating the times at which any signal crosses a prespecified threshold voltage (e.g., 10%, 20%, 50%, etc.) directly from the moments. The method can use higher order moments to asymptotically improve the accuracy of the estimated crossing times. This technique bypasses the steps involved in calculating poles and residues to obtain time-domain information. Once moments are calculated, only 2 multiplications and ( 1) additions are required to determine any threshold-crossing time at a certain node. Moreover, this technique avoids other problems such as pole instability. The final outcome of this paper is a set of empirical expressions relating the moments to different threshold-crossing times in analogy to the = 0 693m formula. The presented methodology can also be used with other user defined forms of empirical expressions relating the moments to different threshold-crossing times. Several orders of approximations are presented for differ...

• Type: Conference
• Year: 2004
• Where: ICCAD
• Authors: Yehea I. Ismail, Chirayu S. Amin
• Keywords: Empirical Expressions, Hardware, ICCAD 2004, Prespecified Threshold Voltage, User Defined Forms