How to calculate Bandwidth of Noise of particular length?

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If i generate a noise of particular points N, is its bandwidth dependent on lenght of vector?
N = 100;
time = 1: 1: N;
noise = randn (size (time))

Answers (1)

Chaitanya Mallela
Chaitanya Mallela on 13 Jul 2020
Edited: Chaitanya Mallela on 13 Jul 2020
randn function has default mean equals zero and variance equals one irrespective of length of the input vector to which noise has be added. For a zero mean RVs Noise Power is same as variance and Noise Power can be computed as the area enclosed by the PSD in the frequency domain (PSD * Bandwidth). Bandwidth is independent of length of the vector unless it is passed through external filters with frequency varying PSD.

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