Given below are two statements:

Statement I: The laws of nature put two fundamental limits on the data rate of a channel. The H.Nyquist limit restricts the number of independent samples per second to twice the bandwidth in a Noiseless channel.

Statement II: Shannon's major result about noised channel is that the maximum data rate of a channel whose bandwidth is HHz, and whose S signal-to-noise ratio is N is given by: S Maximum number of bits/sec= Hlog ( 1+ ) 2 N In the light of the above statements, choose the correct answer from the options given below

1. ABoth Statement I and Statement II are true
2. BBoth Statement I and Statement II are false
3. CStatement I is correct but Statement II is false
4. DStatement I is incorrect but Statement II is true.

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: A. Both Statement I and Statement II are true

Explanation

Nyquist: a noiseless channel of bandwidth H allows at most 2H samples per second. Shannon: capacity = H log₂(1 + S/N) bits per second. Both correct.