∞
If the normalised sinc (πx) = ∫ sin^2 (πx) / (πx)^2 dx = 0.5
0
Then does the Absolute Spectral power in the Band for additive white Gaussian noise with power spectral density N0 / 2 and a filter transfer function of sin (πx) / x = H(x) :
∞
= N0 ∫ sin^2 (πx) / (πx)^2 dx = 0.5 N0
0
If so then if x = 219, was considered the half power point i.e. – 3 dB
Then does the Absolute Spectral power in the Band
219
= N0 ∫ sin^2 (πx) / (πx)^2 dx = 0.5 N0 (0.5) = N0 / 4
0
ALSO IF
∞
If the normalised sinc (πx) = ∫ sin^2 (πx) / (πx)^2 dx = 0.5
0
THEN DOES
∞
the normalised sinc (Kπx) = ∫ sin^2 (Kπx) / (πx)^2 dx = 0.5 WERE K = CONSTANT
0
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