What is the capacity of a binary symmetric channel?

What is the capacity of a binary symmetric channel?

2.3. The binary symmetric channel has a channel capacity of 1 − H(p), where H ( p ) = − p log p − ( 1 − p ) log ( 1 − p ) is the Shannon entropy of a binary distribution with probabilities p and 1 − p. The erasure channel has a channel capacity p, where p is the probability that the transmitted bit is not erased.

Which type of channel is a binary symmetric channel?

A binary symmetric channel (or BSCp) is a common communications channel model used in coding theory and information theory. In this model, a transmitter wishes to send a bit (a zero or a one), and the receiver will receive a bit.

What is symmetric capacity?

Definition 3 (Symmetric Capacity): For the MnAC channel described by (2), C(N) is said to be the symmetric capacity of the MnAC channel if for any 0 <ϵ< 1, (1−ϵ)C(N) is an achievable message length and (1+ϵ)C(N) is not achievable.

What is the characteristics of a channel which is binary symmetric?

This type of channel transmits only two distinct characters, generally interpreted as 0 and 1, hence the designation binary. The probability of correctly receiving either character is the same, namely, p, which accounts for the designation symmetric.

What are the properties of channel capacity?

This means: the capacity is the maximum entropy of Y, reduced by the contribution of information given by Y. We shall soon give an operational definition of channel capacity as the highest rate in bits per channel use at which information can be sent with arbitrarily low probability of error.

What factors affect channel capacity?

Key factors affecting the channel capacity are-

  • Data rate- speed of data transmission measured in bits per second.
  • Bandwidth – Maximum data transfer rate of a network i.e. 25 Mbps.
  • Error rate – It is the ratio of total number of data units resulted in error to the total number of data units transmitted.

What is the capacity of Cascade binary symmetric channels?

Capacity of cascade binary symmetric channels Ask Question Asked3 years, 9 months ago Active1 year, 9 months ago Viewed5k times 3 1 $\\begingroup$

What is the capacity of a symmetric channel?

7.2 SYMMETRIC CHANNELS The capacity of the binary symmetric channel is C = 1 − H(p)bits per transmission, and the capacity of the binary erasure channel is C = 1 − α bits per transmission.

What is the capacity of an infinitely concatenated BSc?

Conclusion: if the unit BSC is not certain $(p eq 0, 1)$, the capacity of infinitely-concatenated BSC tends to $0$. Share Improve this answer Follow edited Oct 6 ’17 at 15:41