Title : 
A robust envelope following method applicable to both non-autonomous and oscillatory circuits
         
        
            Author : 
Mei, Ting ; Roychowdhury, Jaijeet
         
        
            Author_Institution : 
Minnesota Univ., Twin Cities, MN
         
        
        
        
        
        
            Abstract : 
In this paper, we propose an envelope-following method which is uniformly applicable to both non-autonomous and oscillatory circuits. A key feature of our technique is the use of an efficient minimum least squares solution technique to solve an underdetermined envelope system directly. This leads to a general purpose approach which is much easier to solve than previous phase condition based envelope-following method, improving numerically robustness dramatically. We validate our method on a variety of autonomous and non-autonomous circuits, including a PLL in transition to lock. The new method provides speedups of 1-2 orders of magnitude over transient simulation, while obtaining results that are equally or more accurate
         
        
            Keywords : 
least squares approximations; network synthesis; oscillators; phase locked loops; envelope following method; minimum least squares method; nonautonomous circuit; oscillatory circuit; underdetermined envelope system; Circuit simulation; Cities and towns; Frequency; Least squares methods; Minimization; Partial differential equations; Phase locked loops; Robustness; Time domain analysis; Voltage-controlled oscillators; Algorithms; envelope following; least squares; phase condition;
         
        
        
        
            Conference_Titel : 
Design Automation Conference, 2006 43rd ACM/IEEE
         
        
            Conference_Location : 
San Francisco, CA
         
        
        
            Print_ISBN : 
1-59593-381-6
         
        
        
            DOI : 
10.1109/DAC.2006.229432