All Questions
Tagged with gaussian frequency-spectrum
8 questions
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How to determine the cut-off frequency for a Gaussian filter in a reasonable way using frequency spectrum analysis?
I have 100Hz data, which is upsampled to 500 Hz using Cubic spline interpolation.
Subsequently, I would like to smooth this upsampled data using filtering, but I struggle to find an objective basis ...
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Probability of the rate of change of a filtered random process
I am given the following problem: I have a filter with impulse response $h(t) = e^{-10t}, t \leq 0$, and autocorrelation function of the input signal, which is WDS and Gaussian with median equal to 0, ...
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4
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gaussian window for designing filters in DSP
I understand that we do not use rectangular window as a window in filter design because of the ringing/gibbs artifacts due to the sidelobes of the resulting sinc function in the time domain.
...
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Scaling a wavelet in continuous wavelet transform
The mexican hat wavelet, obtained from the second derivative of a Gaussian, has a functional form of
$$ \frac{2}{\sqrt{3 \sqrt{\pi} \sigma \ }} \left(1-\frac{t^2}{\sigma^2} \right) e^{-t^2/(2\sigma^...
- 666
3
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Play with a Gaussian Random Set in the Frequency Domain to Obtain Desired Effect in the Time Domain
Please assume we have a set of 100 random numbers obeying Gaussian PDF in time-domain. Let's index them 1-100.
Within a time-accurate simulation, I apply four operations on this dynamic set every ...
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367
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Band Limit in Gaussian Pyramid
In the paper The Laplacian Pyramid as a Compact Image Code,
it says The pyramid algorithm reduces the filter band limit by an octave from level to level.
How is the conclusion drawn? Is this related ...
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4
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2k
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Relation between frequency spectrum and PDF of a random variable
I have a random variable that is being generated according to some probability distribution function (e.g. a Gaussian PDF).
When looking at the frequency spectrum of the generated data does the ...
- 457
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frequency components of discrete Gaussian-windowed signal
When we are do a discrete Gabor transform on a 1D signal, we apply a Gaussian window on a segment of the signal. However, due to the tapering ends of the Gaussian window, the magnitude of the data ...
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