Information Theory And Coding - Study Mode

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[#1] In a GSM system, 8 channels can co-exist in 200 kHz bandwidth using TDMA. A GSM based cellular operator is allocated 5 MHz bandwidth. Assuming a frequency reuse factor of $$frac{1}{5},$$xa0 i.e. a five-cell repeat pattern, the maximum number of simultaneous channels that can exist in one cell is

(A) 200

(B) 40

(C) 25

(D) 5

Correct Answer

(B) 40

[#2] In decoding of cyclic code, which among the following is also regarded as 'Syndrome Polynomial'?

(A) Generator Polynomial

(B) Received code word Polynomial

(C) Quotient Polynomial

(D) Remainder Polynomial

Correct Answer

(D) Remainder Polynomial

[#3] Which among the following error detecting technique is supposed to be parity bit associated with character code?

(A) LRC

(B) VRC

(C) Both A and B

(D) None of the above

Correct Answer

(B) VRC

[#4] When X and Y are statistically independent, then I (x, y) is

(A) 1

(B) 0

(C) Ln 2

(D) Cannot be determined

Correct Answer

(B) 0

[#5] Let U and V be two independent and identically distributed random variables such that $$Pleft( {U = + 1}
ight) = Pleft( {U = - 1}
ight) = frac{1}{2}.$$ xa0 xa0 xa0The entropy H(U + V) in bits is

(A) $$frac{3}{4}$$

(B) 1

(C) $$frac{3}{2}$$

(D) log 2 3

Correct Answer

(C) $$frac{3}{2}$$