Information Theory And Coding - Study Mode

[#111] Channel capacity of Binary symmetric channel illustrated below is
Correct Answer

(A) 1 + plog 2 p + qlog 2 q

[#112] Consider a binary transmission of bits 0 and 1 with equal probability. Bits are transmitted in a noisy channel and channel noise is additive in nature. The received signal is random in nature with conditional probability density function for each transmitted bit 0 and 1, respectively, as f r/0 (x) = 1 - |x||x| < 1 f r/0 (x) = 1 - |x - 1| 0 < x < 2 What is the average probability of error if threshold in the decision device at the receiving end is 1?
Correct Answer

(D) $$frac{1}{4}$$

[#113] Channel capacity is equal to
Correct Answer

(D) Amount of information per second

[#114] If a channel having bandwidth of 2 kHz and signal to noise ratio is zero dB. Maximum bit rate for this channel will be-
Correct Answer

(D) 2 kbps

[#115] The capacity of a band-limited additive white Gaussian noise (AWGN) channel is given by $$C = W{log _2}left( {1 + frac{P}{{{sigma ^2}W}}}
ight)$$ xa0 xa0 bits per second (bps), where W is the channel bandwidth, P is the average power received and σ 2 is the one-sided power spectral density of the AWGN. For a fixed $$frac{P}{{{sigma ^2}}} = 1000,$$ xa0 the channel capacity (in kbps) with infinite bandwidth $$left( {W o infty }
ight)$$ xa0is approximately
Correct Answer

(A) 1.44