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Question about PSD calculation of sampled noise

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qilongliu

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View attachment sc-filters.pdf

Hi guys,
Recently I read some papers about sampled noise calculation, I found something that is difficult to understand. The attached is one of them.
On Page 6 of this document, there is a formula without any derivation (Expr. 6). Conventionally when we analysis the noise we treat it as continuous time random signal. But here Dr. Kun took it as discrete-time case. In addition on Page 8 he made another assertion and then doing DTFT again. As far as I know, that the definition of PSD in continuous time domain is quite different from that in discrete time domain. So how to bridge the gap in PAS between DTFT and CTFT? Thank you all guys.


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