Two independent random signals X and Y are known to be Gaussian with mean values x0 and y0 and variance $$\sigma _{\text{x}}^2$$ and $$\sigma _{\text{y}}^2.$$ A signal Z = X - Y is obtained from them. The mean z0, variance $$\sigma _{\text{z}}^2$$ and p.d.f. p(z) of the signal Z are given by:
A. $${{\text{x}}_0} - {{\text{y}}_0},\,\sigma _{\text{x}}^2 - \sigma _{\text{y}}^2,\,{\text{Gaussian}}$$
B. $${{\text{x}}_0} + {{\text{y}}_0},\,\sigma _{\text{x}}^2 + \sigma _{\text{y}}^2,\,{\text{Rayleigh}}$$
C. $${{\text{y}}_0} - {{\text{x}}_0},\,\sigma _{\text{y}}^2 - \sigma _{\text{x}}^2,\,{\text{Uniform}}$$
D. $${{\text{x}}_0} - {{\text{y}}_0},\,\sigma _{\text{x}}^2 + \sigma _{\text{y}}^2,\,{\text{Gaussian}}$$
Answer: Option D
This Question Belongs to Electronics And Communications Engineering >> Signal Processing
The Fourier transform of a real valued time signal has
A. Odd symmetry
B. Even symmetry
C. Conjugate symmetry
D. No symmetry
A. $$V$$
B. $${{{T_1} - {T_2}} \over T}V$$
C. $${V \over {\sqrt 2 }}$$
D. $${{{T_1}} \over {{T_2}}}V$$
A. $$T = \sqrt 2 {T_s}$$
B. T = 1.2Ts
C. Always
D. Never
A. $${{\alpha - \beta } \over {\alpha + \beta }}$$
B. $${{\alpha \beta } \over {\alpha + \beta }}$$
C. α
D. β
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