Equivalent Noise Bandwidth

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derick007

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Please find attached my derivation of the equivalent noise bandwidth of a filter which produces a sinc x response i.e. H(f) = hT sin (ΠfT) / ΠfT.

I find the equivalent noise bandwidth, f = 1 / 2T ? i.e. halfway between zero and the first null of the sinc x response ?
 

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  • ENBW.doc.pdf
    204 KB · Views: 186

Done some research - see first 2 attachments. Now convinced fenbw = 1/2T.

The third attachment is a variation on the same theme and I get the same result i.e. 1/2T ? Which I think should be 1/T, but I cannot see were I am going wrong in the attached derivation ? This time the frequency response of the practical filter is the same at that when you multiply the rectangular pulse of height h and width T, by a cosine of amplitude a, and frequency fc.
 

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  • ZimmermannIEEE2005(1).pdf
    1.5 MB · Views: 134
  • ENBW1.doc.pdf
    203.9 KB · Views: 1,606

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