Skip to main content
Signal Processing

Return to Question

Bumped by Community user
Math edits.
Source Link
edit approved Mar 29, 2022 at 10:01
Max
edit approved Mar 29, 2022 at 10:01
Max
  • 2.4k
  • 9
  • 14

I have a signal sampled from R^2$\mathbb{R}^2$ at a frequency of 2Hz$2\text{Hz}$. It is quantized from R^2$\mathbb{R}^2$ to N^2$\mathbb{N}^2$, seemingly using the round operator.

How can I estimate the error variance from this setup ? I've found models for univariate signals but they don't factor in the sampling error, and I'm not sure how I can simply generalize the quantization error from R$\mathbb{R}$ to R^2$\mathbb{R}^2$.

I have a signal sampled from R^2 at a frequency of 2Hz. It is quantized from R^2 to N^2, seemingly using the round operator.

How can I estimate the error variance from this setup ? I've found models for univariate signals but they don't factor in the sampling error, and I'm not sure how I can simply generalize the quantization error from R to R^2.

I have a signal sampled from $\mathbb{R}^2$ at a frequency of $2\text{Hz}$. It is quantized from $\mathbb{R}^2$ to $\mathbb{N}^2$, seemingly using the round operator.

How can I estimate the error variance from this setup ? I've found models for univariate signals but they don't factor in the sampling error, and I'm not sure how I can simply generalize the quantization error from $\mathbb{R}$ to $\mathbb{R}^2$.

Source Link
hdubois
hdubois
  • 1
  • 1

Estimating quantification and sampling error

I have a signal sampled from R^2 at a frequency of 2Hz. It is quantized from R^2 to N^2, seemingly using the round operator.

How can I estimate the error variance from this setup ? I've found models for univariate signals but they don't factor in the sampling error, and I'm not sure how I can simply generalize the quantization error from R to R^2.