Signal Processing - Study Mode
[#131] If the cumulative distribution function is F x (x) then the probability density function f x (x) is given as
Correct Answer
(B) $$int {frac{d}{{dx}}{F_x}left( x
ight)} $$
[#132] The fundamental period T of a periodic-continuous time signal x(t), is
Correct Answer
(A) the smallest positive constant satisfying the relation x(t) = x(t + mT) for every t and any integer m
[#133] The periodic signal x(t) = 5cos(ω 0 t + 30°), signal is periodic with fundamental period . . . . . . . .
Correct Answer
(A) $$frac{{2pi }}{{{omega _0}}}$$
[#134] Match List-I with List-II and select the correct answer using the options given below: List-I (Functions in the time domain) List-II (Fourier transform of the function) a. Delta function 1. Delta function b. Gate function 2. Gaussian function c. Normalized Gaussian 3. Constant function d. Sinusoidal function 4. Sampling Function
Correct Answer
(B) a-3, b-4, c-2, d-1
[#135] A unit impulse function δ(t) is defined by 1. δ(t) = 0 for all t except t = 0 2. $$int_{ - infty }^infty {delta left( t
ight)dt = 1} $$ The Fourier transform F(ω) of δ(t) is
Correct Answer
(A) 1