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19.97kbps is the maximum achievable data rate.

The maximum data rate in a noisy channel as = B*log_2^(1+S/N)

  • where B is the bandwidth
  • S/N is the signal-to-noise ratio. Usually, S/N is given in "decibel", not just a ratio. decibel is calculated by dB=10log_10^(S/N)

Therefore, we get S/N first by 20dB=10log_10^(S/N) ==> S/N=10^2=100

Substitude S/N  

we get the maximum bps as 3k*log2^(1+S/N)=

                                               3log2^101kbps = 19.97kbps.

The maximum achievable data rate is 19.97kbps.

What are Binary signals ?

        The binary signal has only two possible values, making it the simplest signal of any kind that may be used to carry messages. The binary numbers, or bits, 1 and 0, are used to represent these values. A simple method of generating a random binary signal is to take Gaussian white noise, filter the noise for the desired spectra and then convert the noise to a binary signal by taking the sign of the filtered signal.

        The data rate is the number of bits transmitted per second from one device to another or across a network. Typically, data rates are expressed in bits per second or bytes per second. Bit rate is defined as the transmission of a number of bits per second. Baud rate is defined as the number of signal units per second . Bit rate is also defined as per second travel number of bits. Baud rate is defined as the number of signal units per second. Baud rate is also defined as per second number of changes in signal. Baud rate can determine the amount of bandwidth necessary to send the signal.

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tutorconsortium127

The maximum achievable data rate is 19.97kbps. The binary signal is the simplest signal that may be used to transmit messages because there are only two possible values for it.

What are binary signals?

  • The binary signal is the simplest signal that may be used to transmit messages because there are only two possible values for it. These values are represented by the bits 1 and 0, which are binary numbers.
  • Determining Gaussian white noise, filtering it for the desired spectra, and then converting the noise to a binary signal by taking the sign of the filtered signal are three straightforward ways to create a random binary signal.
  • The amount of bits sent from one device to another or via a network in a second is known as the data rate. The most common units for data rates are bits per second or bytes per second. The transmission of a certain number of bits per second is referred to as bit rate.

The maximum data rate in a noisy channel as = B*log_2^(1+S/N)

where B is the bandwidth

S/N is the signal-to-noise ratio. Usually, S/N is given in "decibel", not just a ratio. decibel is calculated by dB=10log_10^(S/N)

Therefore, we get S/N first by 20dB=10log_10^(S/N) ==> S/N=10^2=100

Substitude S/N  

we get the maximum bps as 3k*log2^(1+S/N)=

                                              3log2^101kbps = 19.97kbps.

The maximum achievable data rate is 19.97kbps.

To learn more about Binary signal refer :

brainly.com/question/16612919

#SPJ4