Test: Special Classes of Random Processes - Electronics and Communication Engineering (ECE) MCQ

U and V are two independent zero mean and Gaussian.

let z = 3V - 2U

U and V are Gaussian then their linear transformation Z is also Gaussian

than E[z] = E[3V - 2U]=3E[V] - 2E[U]=0

if z is gaussian and zero mean then its probability for greater than zero is 0.5

Option C is the correct answer. 

Concept:

The noise voltage at the input of the RF amplifier is given by:

Where,

Equivalent resistance (R_eq) = R_Noise + R_in

Boltzmann constant (k) = 1.38 × 10^-23

T: Operating temperature.

B: Bandwidth of amplifier.

Calculation:

Given Equivalent resistance (R_eq) = 200 + 300 = 500 Ω

B = 6 MHz and T = 290 ⁰K

Putting on the respective values, we get:

V = 6.92 μV

Vector quantization will always equal or exceed the performance of scalar quantization.

Adaptive quantizer reduces the dynamic range of quantization noise in PCM and DPCM.

If Gaussian process is a wide sense stationary process then it will also be strict sense stationary process.

P (miss/or more aircraft) = 1 – P(miss 0) = 1 – P(0 arrive).

E[X(t)X(t + t)] = 1/3 and E[X(t)] = 1/2 respectively.

Here X = 0, y = 0, Rxx(0) = 5, Ryy(0) = 10. The only value that satisfies all the given conditions is 30.