Shannon–Hartley theorem | Wikipedia audio article
Channel: wikipedia tts
Date: 29/12/2018

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Shannon%E2%80%93Hartley_theorem


00:00:54 1 Statement of the theorem
00:03:03 2 Historical development
00:03:51 2.1 Nyquist rate
00:05:18 2.2 Hartley's law
00:10:06 2.3 Noisy channel coding theorem and capacity
00:14:56 3 Implications of the theorem
00:15:07 3.1 Comparison of Shannon's capacity to Hartley's law
00:17:03 4 Frequency-dependent (colored noise) case
00:19:58 5 Approximations
00:20:16 5.1 Bandwidth-limited case
00:21:41 5.2 Power-limited case
00:22:34 6 Examples
00:23:04 7 See also
00:23:20 8 Notes
00:23:52 9 References
00:24:08 10 External links
00:24:42 10−3. It leads to a maximal rate of information of 106 log2 (1 + 10−3)
00:26:25 See also



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SUMMARY
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In information theory, the Shannon–Hartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified bandwidth in the presence of noise.  It is an application of the noisy-channel coding theorem to the archetypal case of a continuous-time analog communications channel subject to Gaussian noise. The theorem establishes Shannon's channel capacity for such a communication link, a bound on the maximum amount of error-free information per time unit that can be transmitted with a specified bandwidth in the presence of the noise interference, assuming that the signal power is bounded, and that the Gaussian noise process is characterized by a known power or power spectral density.  The law is named after Claude Shannon and Ralph Hartley.