The Fourier-space statistical properties of one-dimensional or two-dimensional focal plane array data subject only to photon-counting noise are investigated theoretically by using the discrete Fourier transform. Signal-to-noise ratios and probability density functions for the noise and for the components of the Fourier transform are presented for two cases: when the Fourier transform itself is considered to be the signal and when the power spectrum is considered to be the signal.
© 2001 Optical Society of America
Original Manuscript: January 28, 2000
Revised Manuscript: October 23, 2000
Manuscript Accepted: October 30, 2000
Published: April 1, 2001
Robert L. Lucke, "Fourier-space properties of photon-limited noise in focal plane array data, calculated with the discrete Fourier transform," J. Opt. Soc. Am. A 18, 777-790 (2001)