GATE EC 2022: Communication System Quiz 4 (App update required to attempt this test)

For the given arrangement,

A box contains the following three coins.

I. A fair coin with head on one face and tail on the other face.

II. A coin with heads on both the faces.

III. A coin with tails on both the faces.

A coin is picked randomly from the box and tossed. Out of the two remaining coins in the box, one coin is then picked randomly and tossed. If the first toss results in a head the probability of getting a head in the second toss is

In a CD player, the sampling rate is 44.1 kHz and the samples are quantized using a 16 bits/sample quantizer. The resulting number of bits for a piece of music with a duration of 50 minutes is

Binary data is transmitted at a rate of 10⁶ bits/sec over a microwave link having a bandwidth of 3MHz. The two sided PSD of AWGN is 10^–10 (W/Hz). The maximum carrier power (in mW) required at the receiver input for a coherent PSK signaling scheme to maintain P_e≤ 10^–4 is?
(Note: Q (3.75) = 10^–4)

Let m(t) = 125r(t) -250r(t-1) + 125r(t-2) be the input to a delta modulator. If the sampling rate is 5000 samples/ sec, Determine the minimum step size required to prevent granular noise.

Consider a baseband random process having an auto correlation function. This process is passed through an ideal differentiator. If the output random process is, its auto correlation function is given by