# Questions tagged [power-spectral-density]

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

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### Modelling MEMS accelerometer noise

I am trying to compare two MEMS accelerometers in terms of their noise for ground motion monitoring applications. I would like to take some "clean" data (recorded by good quality ...
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### Deriving Power Spectral Density of $a \cdot x(t)+b$ if PSD of $x(t)$ is known

I want to derive the PSD of $a \cdot x(t)+b$ if the PSD of $x(t)$ is known. Here $a$ and $b$ are constant. The signal $x(t)$ is a zero mean stationary random variable. Thanks in advance.
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### Why is the FFT of an even real valued vector not real?

I am trying to find the PSD of a signal by taking the DFT of its auto-covariance sequence. My code is as follows ...
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### What's the exact definition of the power spectral density function?

I learned from my signal processing course that PSD is the Fourier transform of the autocorrelation function. $$\mathscr{F}\Big\{\mathrm{E}\big[x(t)x(t+\tau)\big]\Big\}$$ Today I took my statistic ...
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### PSD of the sum of two zero-mean white noise signals

I am trying to solve the following exercise, where $y(t)$ is the sum of two signals $x_1(t)$ and $x_2(t)$ with each of them being the product of the convolution of $e_i(t)$ with $h_i(t)$. So far I ...
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### How to calculate The Signal-to-Noise Ratio (SNR) in dB (different units)?

Recently, I've ventured into a new domain that I intend to incorporate into my work. After thorough research and consultation, I've found this model to calculate the data transmission rate (Capacity). ...
Let's consider a real function of time $x(t)$ being a Fourier-transformable signal. The synthesis equation states that: $$x(t)=∫_{-∞}^{+∞}X(f)⋅e^{2πjft} df$$ Meaning: $x(t)$ can be seen as the sum of ...