日本放射線技術学会雑誌
Online ISSN : 1881-4883
Print ISSN : 0369-4305
ISSN-L : 0369-4305
放射線画像系における確率的行列論と周波数解析論との接点
若松 孝司
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ジャーナル フリー

1984 年 40 巻 4 号 p. 550-554

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In this paper, an estimation was made of the image quality of the radiographic imaging system, the joint between probability matrix and frequency analysis theory was made clear with mediating the idea of the whitening noise filter. The detectivity d' of the ideal detector is defined as, [numerical formula] Where S_1 denotes the signal matrix, Φ^<-1>_<mn> the variance and co-variance inverse matrix, S (u), the signal spectrum and W(u), the Wiener spectrum of noise. The next fomula used was, Φ^<-1>_<mn>=G^TG Where G is the triangular matrix of the whitening noise filter. G corresponds to √<W (u)^<-1>> and GS_1 to the convolution between the whitening noise filter function on the spatial area and the signal distribution. Thus, Φ_<nn> can be represented by a non singular and symmetric matrix whose normal diagonal elements are all same, and G can be represented by a triangular matrix whose normal diagonal elements are all same. This proved that the noise process of the radiographic imaging system is a necessary ergodic.
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© 1984 公益社団法人 日本放射線技術学会
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