Questions tagged [power-spectral-density]

The Power Spectral Density (PSD) is the distribution of signal power over frequencies.

437 questions
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Power Spectral Density of a WSS Random Process with 2D Discrete Fourier Transform

I'm trying to understand how the random process (RP) signal in discrete time domain is related to its power spectral density (PSD) in frequency domain if the signal is wide sense stationary (WSS). If ...
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Energy Detection Algorithm Uncertainty

I'm currently working on a project to perform energy detection of an IEEE 802.15.4 using the block diagram illustrated below. However, I do have a little uncertainty about the algorithm. I'm wondering ...
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PSDs and Parseval's theorem

OK, I have been banging my head for quite a while trying to make sense of this simple equation: The $1/T$ is what is causing me all the grief. I assume that the square of the Fourier transform of ...
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Response of Linear System to Stochastic Process

Somehow I am getting the variance{u(n)} equal to '0' !! This is the case when I take the coefficient 'a' as real. As it is not mentioned in the question I need to find the solution to this question ...
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Pa^2/Hz to dB/Hz conversion

I have PSD data from an computational aeroacoustics analysis, which is in the units of Pa^2/Hz. I want to convert this to dB/hz; would it be correct if I use PSD[in dB/Hz] = 10log10(PSD[in Pa^2/Hz]) ...
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dB/hz to dB Conversion

I'm have a PSD graph of dB/hz vs. frequency in hz. I want to convert the dB/hz unit to dB, but I can't find any way of doing it. Help would be much appreciated!
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Clarification concerning power spectral density

Many books in signal processing, e.g. Papoulis [1], define power spectral density (PSD) as: $$S(\omega)=\sum_{k=-\infty}^{\infty}R_{xx}(k)e^{-j\omega k}$$ Which is the fourier transform of the ...
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Creation of Brownian noise as random walk

I am trying to create brown noise by integration of white noise (random walk). I created Gaussian white noise. The histogram shows Gaussian distribution and Welch (and also FFT) shows flat spectrum. ...
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How are phases dealt with when using FFT with blocks

An FFT of a signal returns a complex number, with a phase angle related to the starting location of each frequency within the signal. If I have break my signal into blocks, and FFT them individually, ...
Say a narrow band signal $n(t)$ has Power Spectral Density (PSD) $S(f)$. If the signal $n(t)$ got multiplied by $\cos(2\pi Ft)$, then what will the PSD of resulting signal in terms of $S(f)$ be? Will ...
I am working on radar received signal which is $15000\times 2008$ matrix. Here each row corresponds to one chirp or one signal, this way there are 15000 signals. The difference among them is just the ...