Combined Linear and Homomorphic Deconvolutions for Processing Bandpass Measurements

George E. Kechter, Jan D. Achenbach

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The deconvolution presented in this paper is a judicious combination of available techniques. It is effective for extracting the impulse response of individual flaws from ultrasonic data generated by flaw clusters. The technique requires output signals from both the flawed and unflawed systems. By combining linear deconvolution and homomorphic deconvolution, using the complex cepstrum, the desired impulse response can be extracted in cases where the signals contain overlapping wavelets. For the important case of bandpass signals, for which the complex cepstrum does not exist, the technique can still be applied by including a bandpass mapping in conjunction with homomorphic processing. Application of this combined approach to ultrasonic signals reflected from epoxy specimens produced the impulse response of a single cavity from measurements which were bandpass and contained overlapping signals from adjacent cavities. The recovered response, which compared very well with the theoretical response of a single cavity, was sufficiently resolved to yield the radius of the spherical cavity.

Original languageEnglish (US)
Pages (from-to)1300-1304
Number of pages5
JournalIEEE Transactions on Signal Processing
Issue number6
StatePublished - Jun 1991

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Combined Linear and Homomorphic Deconvolutions for Processing Bandpass Measurements'. Together they form a unique fingerprint.

Cite this