An Introduction to Single-User Information Theory by Fady Alajaji & Po-Ning Chen

An Introduction to Single-User Information Theory by Fady Alajaji & Po-Ning Chen

Author:Fady Alajaji & Po-Ning Chen
Language: eng
Format: epub
Publisher: Springer Singapore, Singapore


which implies that Also, 3-digit accuracy is approximately equivalent to bits accuracy. Therefore, by Theorem 5.3, the number of bits required to describe the quantized decay time is approximately

We close this section by computing the differential entropy for two common real-valued random variables: the uniformly distributed random variable and the Gaussian distributed random variable.

Example 5.7

(Differential entropy of a uniformly distributed random variable) Let X be a continuous random variable that is uniformly distributed over the interval (a, b), where ; i.e., its pdf is given by



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