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In the communication system, if for a given rate of information transmission requires channel bandwidth, B1 and signal-to-noise ratio SNR1. If the channel bandwidth is doubled for same rate of information then a new signal-to-noise ratio will be
  • a)
    SNR1
  • b)
    2SNR1
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In the communication system, if for a given rate of information transm...
Shannon-Hartley Theorem- It tells the maximum rate at which information can be transmitted over a communications channel of a specified bandwidth in the presence of noise.

Where C is the channel capacity in bits per second
B is the bandwidth of the channel in hertz
S is the average received signal power over the bandwidth
N is the average noise
S/N is the signal-to-noise ratio (SNR)
For transmitting data without error R ≤ C where R = information rate
Assume information Rate = R
Form Shanon hartley theorem
Rmax = C

When channel Band width (B) = B1
Signal to noise ratio = SNR1
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