Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Waveform metrology and a quantitative study of regularized deconvolution



Paul D. Hale, Andrew M. Dienstfrey


We present methodology and preliminary results of a Monte-Carlo simulation to perform a quantified analysis of regularized deconvolution in the context of full waveform metrology. We analyze the behavior of different regularized inversion methods with varying dimensionless parameters that serve as indicators of the problem difficulty including: the ratio of input pulse duration to that of the system impulse response, signal to noise ratio, pulse shape and/or the ratio of high frequency roll-off of input to system response. We characterize the waveform estimates in terms of pulse parameters and total error, comparing different Tikhonov deconvolution algorithms as well as commonly used heuristic approaches. We present a quantitative comparison of the relative merits of the different procedures, and compare the numerical performance with asymptotic analyses.
Proceedings Title
Proc., IEEE Instrum. Meas. Tech. Conf.
Conference Dates
May 3-6, 2010
Conference Location
Austin, TX
Conference Title
International Instrumentation and Measurement Technology Conference


deconvolution, highspeed measurements, waveform metrology


Hale, P. and Dienstfrey, A. (2010), Waveform metrology and a quantitative study of regularized deconvolution, Proc., IEEE Instrum. Meas. Tech. Conf., Austin, TX, [online], (Accessed March 3, 2024)
Created May 1, 2010, Updated February 19, 2017