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Results tagged with information-theory
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user 30822
1
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Why the requirement of the GCD of the lengths of all circuits in the graph being one?
I am reading A Mathematical Theory of Communication. The second requirement of an ergodic process confuses me (emphasis mine):
All the examples of artificial languages given above are ergodic. Thi …
- 125
4
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0
answers
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Distortion-Rate function for standard Gaussian signals quantized with a uniform alphabet
Let's say $X \sim N(0, 1)$ is a standard Gaussian input signal and $Y \sim U\{y_1, y_2, \cdots, y_{16}\}$ follows a discrete uniform distribution (in fact, $\{y_1, y_2, \cdots, y_{16}\}$ is a reconstr …
- 125
2
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2
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What exactly is transmitted in the channel in lossy compression?
Consider the problem of lossily compressing a memoryless binary source $X
\sim \operatorname{Bernoulli}\left(\frac{1}{2}\right)$ at target Hamming distortion $D < \frac{1}{2}$. According to the analy …
- 125