Share Your Experience: Take the 2024 Developer Survey

# Questions tagged [gaussian]

The gaussian function, an exponential function with a negative square of the argument in the exponent, is interesting in signal processing because the Fourier Transform of a gaussian function is also a gaussian function.

349 questions
Filter by
Sorted by
Tagged with
59 views

### Gaussian Pulse shaping filter

I need expert advice on implementation of Gaussian Pulse Shaping filter for generating GMSK signal in further steps. I have implemented as follows, Can anyone confirm that the Pulse would be shaped as ...
51 views

### Autocorrelation function of a Gaussian random signal

Im a beginner at signal processing and I've gotten the following question in an exercise: "Write down the equation for a Gaussian probability density distribution and relate the different ...
49 views

### Regarding SINR (Signal to Interference Plus Noise Ratio) in wireless communication

I am working on a research paper related to wireless communication, wherein I am facing some doubt while writing expression of SINR (which is a ratio of Signal variance in numerator to Interference ...
65 views

• 103
213 views

### ADC response inversion to Gaussian noise

Assuming the input to an ADC is a Gaussian white noise signal, and being a bit idealistic in all senses, is there a theoretical expression that links input power to output power which can be inverted, ...
• 35
63 views

### ADC bias, noise and number of bits under Gaussian signals

I'm digitizing a zero-mean complex Gaussian white noise signal with certain variance, through independent I/Q baseband sampling (two ADCs). The noise variance (power) depends on the thermal emission/...
• 35
181 views

### Discrete Fourier Transform of the Gaussian

Cross-posted from here I encountered the following question in a Digital Image Processing examination: Find the 2D DFT of $\frac{1}{2 \pi \sigma^2} e^{-\frac{(x - x_0)^2 + (y - y_0)^2}{2 \sigma^2}}$ ...
• 63
1 vote
47 views

23 views

### Approximating variable-length coding by "aggregating" fixed-length coding

Consider the problem where I want to quantize a univariate standard Gaussian with two bits, and the objective is to minimize MSE reconstruction loss. According to these slides, the Lloyd algorithm and ...
• 125
22 views

### Decomposing Gaussian Diffraction Pattern

I was recommended to post this question here from the physics stack exchange. I have the following diffraction pattern produced by a fabry-perot etalon. The red represents the center of that pattern. ...
1 vote
38 views

### Is it possible to reformulate a Kalman Filter as a Gaussian Markov Random Field?

The generic formulation of a KF uses a set of transitition equations, while the GMRF is typically specified through its mean and precision. However, a simple KF involves Gaussianity and Markov ...
• 11
244 views

### Generating time-domain noise from PSD

I have a question regarding generating a time-domain noise from the power spectral density (PSD), this was addressed in this question (How to generate time-series from a given one-sided PSD?) but I ...
1 vote
54 views

### Can the standard deviation of the Gaussian window in a Gabor filter be made infinitesimally small?

My understanding is that the standard deviation of the Gaussian window in a Gabor filter dictates the temporal resolution. Wouldn't it always be better then to make the window smaller, thus achieving ...
1 vote