Test: Signals & Systems - 2
20 Questions MCQ Test GATE ECE (Electronics) 2023 Mock Test Series | Test: Signals & Systems - 2
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If relation between input x[n] and output y[n] of a system is given by y[n] - 1/2 y[n -1] = x[n]
then the system is
Simply lake Z transform from both sides:
Then H(z) 
it is right of the right - most pole
lf x[n] = - u[-n -1] + (1 /2)n u[-n -1] then ROC of signal is:
Overall ROC is IZI < 1 /2
Consider, discrete time signal x[n] = (1 /3)n u[n] If signal y[n] is defined as y[n] = x[—n], —∞< n < ∞ then value of 
equals to
equals to
Now
Put
If signal x(t) and h(t) shown in figure are convolved to yield y(t).
Simply use difference and sum between points.
Given that g (t) 
g (t) = t exp (—t) u(t) then value of g(t) is
If u(t) r(t) denotes unit step and unit ramp respectively then u(t) 
r(t) denotes their convolution, then function u(t + 1) r(t — 2) is given by.
y(t) = u(t) r(t)
Y(s) = 1/s3
If wave form is given only for I period then
Q. Waveform x (t) is
If wave form is given only for I period then
Q. Fourier series representation on of x (t) will be.
it is an odd function with half symmetry.
If complex Fourier- series coefficient Ck is given as Ck = (— 1/2)|k| then value of x(t) is:
Which statements are true about Fourier transform?
- If x(t) is real then X(jω) is complex conjugate symmetric.
- If x(t) is imaginary then X(jω) is complex conjugate anti-symmetric
- If x(t) is even then X(jω) is also even.
Check status of linearity of given functions.
I . x1(t) = x(t) .cost
2. x2(t) = cos(x(t)).t
x2(t) = t cos (x (t)
if x(t) = 0 ⇒ x2(t) = t
So x2(t) is non - linear
If Fourier transform of x(t) is X(ω) then Fourier transform of 
0.5 If Z-Transform X(z) of a sequence x[n] is given by 
.It is given that R.O.C. of X (z) includes unit circle then
Q. Value of x[0] is
0.5 If Z-Transform X(z) of a sequence x[n] is given by .It is given that R.O.C. of X (z)includes unit circle then
Q. In above system if x[n] is causal then value of x[0] is
if it includes, unit - circle then, Iz| < 2
x[n] = - (0.5) 2n u(-n-1)
x[0] = 0
if it is causal then
If frequency response of a causal & stable linear Time Invariant system is 
, then value of phase delay and group delay are.
Which among the following are the stable discrete time systems?
1. y(n) = x(4n)
2. y(n) = x(-n)
3. y(n) = ax (n) + 8
4. y(n) = cos x(n)
For given Fourier — series coefficients for real signals Co = 1, C1 = — 2, C2 = — 1 then power of this signal is _______
Which statement is true about y[n] = x[n] . cos (ωo n)
For given signal s(t), shown below what is slope of matched filter output during interval 1 ≤ t ≤ 2 is
h(t) = = s(2
y(t) = NW h(t )
Just draw y(t) and then calculate slope of y(t)
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21 docs|263 tests
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21 docs|263 tests
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