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Q&A Confusion about channel capacity definition and units

Why can the channel capacity C of the additive white gaussion noise (AWGN) channel be denoted in different ways and how do they relate to each other? Examples: C = (1/2) * log2(1 + SNR) [bit?] ...

0 answers  ·  posted 9mo ago by daniel_s‭  ·  reopened 8mo ago by Olin Lathrop‭

#6: Question reopened by user avatar Olin Lathrop‭ · 2023-09-11T12:46:23Z (8 months ago)
#5: Post edited by user avatar daniel_s‭ · 2023-09-11T08:19:01Z (8 months ago)
  • Why can the channel capacity C of the AWGN channel be denoted in different ways and how do they relate to each other? Examples:
  • C = (1/2) * log2(1 + SNR) [bit?]
  • source: [wikipedia: Additive_White_Gaussian_Noise#Channel_Capacity](https://en.wikipedia.org/wiki/Additive_White_Gaussian_Noise#Channel_Capacity)
  • C = B * log2(1 + SNR) [bit/s] with bandwidth B in Hz.
  • source: [wikipedia: Channel_capacity#Example_application](https://en.wikipedia.org/wiki/Channel_capacity#Example_application)
  • SNR is the signal to noise ratio in both formulas and B is the bandwidth of the used channel in Hz.
  • Why can the channel capacity C of the additive white gaussion noise (AWGN) channel be denoted in different ways and how do they relate to each other? Examples:
  • C = (1/2) * log2(1 + SNR) [bit?]
  • source: [wikipedia: Additive_White_Gaussian_Noise#Channel_Capacity](https://en.wikipedia.org/wiki/Additive_White_Gaussian_Noise#Channel_Capacity)
  • C = B * log2(1 + SNR) [bit/s] with bandwidth B in Hz.
  • source: [wikipedia: Channel_capacity#Example_application](https://en.wikipedia.org/wiki/Channel_capacity#Example_application)
  • SNR is the signal to noise ratio in both formulas and B is the bandwidth of the used channel in Hz.
#4: Post edited by user avatar daniel_s‭ · 2023-09-11T08:18:30Z (8 months ago)
  • Why can the channel capacity of the AWGN channel be denoted in different ways and how do they relate to each other? Examples:
  • C = (1/2) * log2(1 + SNR) [bit?]
  • source: [wikipedia: Additive_White_Gaussian_Noise#Channel_Capacity](https://en.wikipedia.org/wiki/Additive_White_Gaussian_Noise#Channel_Capacity)
  • C = B * log2(1 + SNR) [bit/s] with bandwidth B in Hz.
  • source: [wikipedia: Channel_capacity#Example_application](https://en.wikipedia.org/wiki/Channel_capacity#Example_application)
  • Why can the channel capacity C of the AWGN channel be denoted in different ways and how do they relate to each other? Examples:
  • C = (1/2) * log2(1 + SNR) [bit?]
  • source: [wikipedia: Additive_White_Gaussian_Noise#Channel_Capacity](https://en.wikipedia.org/wiki/Additive_White_Gaussian_Noise#Channel_Capacity)
  • C = B * log2(1 + SNR) [bit/s] with bandwidth B in Hz.
  • source: [wikipedia: Channel_capacity#Example_application](https://en.wikipedia.org/wiki/Channel_capacity#Example_application)
  • SNR is the signal to noise ratio in both formulas and B is the bandwidth of the used channel in Hz.
#3: Question closed by user avatar Olin Lathrop‭ · 2023-09-08T12:03:31Z (9 months ago)
#2: Post edited by user avatar daniel_s‭ · 2023-09-08T10:56:42Z (9 months ago)
  • Why can the channel capacity of the AWGN channel be denoted in different ways and how do they relate to each other? Examples:
  • C = (1/2) log2(1 + SNR) [bit?]
  • source: [wikipedia: Additive_White_Gaussian_Noise#Channel_Capacity](https://en.wikipedia.org/wiki/Additive_White_Gaussian_Noise#Channel_Capacity)
  • C = B * log2(1 + SNR) [bit/s] with bandwidth B in Hz.
  • source: [wikipedia: Channel_capacity#Example_application](https://en.wikipedia.org/wiki/Channel_capacity#Example_application)
  • Why can the channel capacity of the AWGN channel be denoted in different ways and how do they relate to each other? Examples:
  • C = (1/2) * log2(1 + SNR) [bit?]
  • source: [wikipedia: Additive_White_Gaussian_Noise#Channel_Capacity](https://en.wikipedia.org/wiki/Additive_White_Gaussian_Noise#Channel_Capacity)
  • C = B * log2(1 + SNR) [bit/s] with bandwidth B in Hz.
  • source: [wikipedia: Channel_capacity#Example_application](https://en.wikipedia.org/wiki/Channel_capacity#Example_application)
#1: Initial revision by user avatar daniel_s‭ · 2023-09-08T10:55:00Z (9 months ago)
Confusion about channel capacity definition and units
Why can the channel capacity of the AWGN channel be denoted in different ways and how do they relate to each other? Examples:

    C = (1/2) log2(1 + SNR)   [bit?]

source: [wikipedia: Additive_White_Gaussian_Noise#Channel_Capacity](https://en.wikipedia.org/wiki/Additive_White_Gaussian_Noise#Channel_Capacity)

    C = B * log2(1 + SNR)   [bit/s] with bandwidth B in Hz.

source: [wikipedia: Channel_capacity#Example_application](https://en.wikipedia.org/wiki/Channel_capacity#Example_application)