Shannon–Hartley theorem | Wikipedia audio article
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 Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago. Learning by listening is a great way to: - increases imagination and understanding - improves your listening skills - improves your own spoken accent - learn while on the move - reduce eye strain Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone. Listen on Google Assistant through Extra Audio: https://assistant.google.com/services/invoke/uid/0000001a130b3f91 Other Wikipedia audio articles at: https://www.youtube.com/results?search_query=wikipedia+tts Upload your own Wikipedia articles through: https://github.com/nodef/wikipedia-tts Speaking Rate: 0.8713688589026368 Voice name: en-US-Wavenet-C "I cannot teach anybody anything, I can only make them think." - Socrates SUMMARY ======= 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.
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 Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago. Learning by listening is a great way to: - increases imagination and understanding - improves your listening skills - improves your own spoken accent - learn while on the move - reduce eye strain Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone. Listen on Google Assistant through Extra Audio: https://assistant.google.com/services/invoke/uid/0000001a130b3f91 Other Wikipedia audio articles at: https://www.youtube.com/results?search_query=wikipedia+tts Upload your own Wikipedia articles through: https://github.com/nodef/wikipedia-tts Speaking Rate: 0.8713688589026368 Voice name: en-US-Wavenet-C "I cannot teach anybody anything, I can only make them think." - Socrates SUMMARY ======= 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.