Statistical approach to noise in stellar speckle interferometry

Details Statistical approach to noise in stellar speckle interferometry Statistical approach to noise in stellar speckle interferometry

Jan 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997papop...6....1a&link_type=abstract

Pure and Applied Optics, Volume 6, Issue 1, pp. 1-14 (1997).

Physics

Optics

2

Scientific paper

In this paper we describe a new method to derive the variances of the power spectrum and the autocorrelation function of images recorded in the photon-counting mode. The formalism is different from that of Goodman and Belsher. The variances are written as functions of the tri-spectrum and the quadri-correlation function. For the power spectrum, we recover the result of Goodman and that of Dainty and Greenaway. For the autocorrelation function, a new expression is obtained. No remarkable effect corresponding to Goodman's `half-frequency' phenomenon is observed, but the variance at the space lag 0963-9659/6/1/003/img1 is found to be influenced by cuts of the triple correlations of the classical image intensity for space lags equals to 0963-9659/6/1/003/img1 and 0963-9659/6/1/003/img3. A crude simplification of the expression of the variance of the autocorrelation function is used to derive results in terms of the signal-to-noise ratio (SNR).

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