“Dirty Map”的概念、定义、习题解题方法及翻译-数学辞典

单词

Dirty Map

释义

Dirty Map

From the van Cittert-Zernicke theorem, the relationship between observedvisibility function and source brightness in synthesis imaging is given by


			(1)

But the visibility function

is sampled only at discrete points

(finite sampling),so only an approximation to

, called the ``dirty map'' and denoted

, is measured. It is given by


			(2)

where

is the sampling function and

is the observed visibility function.

Let

denote Convolution and rearrange the Convolution Theorem,

(3)

into the form

(4)

from which it follows that

(5)

Now note that

(6)

is the CLEAN Map, and define the ``Dirty Beam'' as the inverse Fourier Transform of the sampling function,

(7)

The dirty map is then given by

(8)

In order to deconvolve the desired CLEAN Map

from the measured dirty map

and the known Dirty Beam

, the CLEAN Algorithm is often used.

See also CLEAN Algorithm, CLEAN Map, Dirty Beam

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