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I might have the ingredients to an answer here and here and here.


Below is a function which I wrote long back, when I needed to generate AWGN time-domain samples given Noise PSD in dBm/Hz. AWGN_NOISE() : Generates Additive White Gaussian Noise of PSD power in dBm/Hz AWGN has Gaussian PDF with 0 mean and $\sigma^{2} = N_{o}/2$ Noise Spectrum in $dBm/Hz = 10*log_{10}(BW*N_o/2)$, hence $\sigma$ = $\sqrt{No/2} = \sqrt{10^{...


Dirac delta function has a continuous argument, but Kronecker delta function has a discrete argument. Your example is a discrete signal so Kronecker delta is used.

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