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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
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/s^{3}
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 C_{k} is given as C_{k} = (— 1/2)^{k} then value of x(t) is:
Which statements are true about Fourier transform?
Check status of linearity of given functions.
I . x_{1}(t) = x(t) .cost
2. x_{2}(t) = cos(x(t)).t
x_{2}(t) = t cos (x (t)
if x(t) = 0 ⇒ x_{2}(t) = t
So x_{2}(t) is non  linear
If Fourier transform of x(t) is X(ω) then Fourier transform of
0.5 If ZTransform 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 ZTransform 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) 2^{n} u(n1)
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, C_{1} = — 2, C_{2} = — 1 then power of this signal is _______
Which statement is true about y[n] = x[n] . cos (ω_{o} 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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