Abstract
It is shown that a 2M-point representation IH(f) of the Hartley intensity spectrum IHa(f) can be reconstructed from the intersections of IHa(f) with the reference sinusoid R(f) of period 2δ. As required by the Nyquist sampling criterion, one sinusoidal crossing is detected within every frequency interval δ when the bandwidth of IH (f) is 2Mδ. Specifically, the 2M crossings are used to determine the 2M expansion coefficients [h(mΔ)] of IH (f) with respect to the Hartley basis functions: cas(2πfmΔ), where Δ = 1/2Mδ and m = −M, −M + 1, . . . ,M. An accurate and efficient algorithm for computing [h(mΔ)] from the sinusoidal crossings also is proposed and demonstrated.
© 1995 Optical Society of America
Full Article |
PDF Article
More Like This
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 Optica member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Login to access Optica 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 Optica member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Login to access Optica Member Subscription
Figures (2)
You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Login to access Optica Member Subscription
Equations (5)
You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Login to access Optica Member Subscription