Lossy transmission line simulation based on closed-form triangle impulse responses

Tingdong Zhou, Steven L. Dvorak, John L. Prince

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


Analytical frequency-domain expressions for single and coupled transmission lines with triangular input waveforms are first developed. The inverse Fourier transform is then used to obtain an expression for the time-domain triangle impulse responses for frequency-independent transmission line parameters. The integral associated with the inverse Fourier transform is solved analytically using a differential-equation-based technique. Closed-form expressions for the triangle impulse responses are given in the form of incomplete Lipschitz-Hankel integrals (ILHI) of the first kind. The ILHI can be efficiently calculated using existing algorithms. Combining these closed-form expressions for the triangle impulse responses with a time-domain convolution method using a triangle impulse as a basis function, provides an accurate and efficient simulation method for very lossy transmission lines embedded within linear and nonlinear circuits.

Original languageEnglish (US)
Pages (from-to)748-755
Number of pages8
JournalIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Issue number6
StatePublished - Jun 2003


  • Closed-form triangle impulse response
  • Frequency domain modal analysis
  • Inverse Fourier transformation
  • Lossy transmission lines
  • Time-domain convolution
  • Transfer functions
  • Transmission line modeling

ASJC Scopus subject areas

  • Software
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering


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