Abstract

A functional form is derived for an impulse response in a time-domain linear prediction based on an autoregressive model. For any impulse-response length, this theoretical impulse response allows us to predict correctly a given time-domain signal consisting of discrete cosine waves. A method is also given for finding the wave frequencies, which are needed in the construction of the impulse response. The properties of this theoretical impulse response are compared with those of the impulse responses computed by Burg’s algorithm or by fitting of the autocorrelation function of the original time-domain signal.

© 1994 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Efficient impulse response reconstruction from the amplitude spectrum

Er'el Granot, Shmuel Sternklar, and Yossi Ben-Aderet
J. Opt. Soc. Am. B 27(2) 354-357 (2010)

Reconstructing the impulse response of a diffusive medium with the Kramers-Kronig relations

Er'el Granot and Shmuel Sternklar
J. Opt. Soc. Am. B 24(7) 1620-1626 (2007)

Induced-grating autocorrelation of ultrashort pulses in a slowly responding medium

Alfred M. Levine, Ercüment Özizmir, Rick Trebino, Carl C. Hayden, Anthony M. Johnson, and Kathleen L. Tokuda
J. Opt. Soc. Am. B 11(9) 1609-1618 (1994)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (8)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (47)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription