Capturing  RLCK  circuit responses accurately with existing model order reduction (MOR) techniques is very expensive. Direct metrics for fast analysis of  RC  circuits exist but there is no such technique for  RLCK  circuits. This paper introduces a new family of MOR techniques based on piece-wise functions to capture  RLCK  circuit responses accurately using only four or five moments. The time-domain response is approximated using a piece-wise function whose pieces are simple polynomials. The proposed method is fast and guaranteed stable and it avoids the calculation of poles and residues associated with existing model order reduction techniques. Results for many different industrial netlists indicate that delay and transition time can be captured within 5% error using only four moments. To the authors' knowledge, there is no existing method that can extract as much information about  RLCK  circuits with only four or five moments.
['Chirayu S. Amin', 'Yehea I. Ismail', 'Florentin Dartu']
Piece-wise approximations of RLCK circuit responses using moment matching