# The Nyquist sampling rate for the signal. s(t)=(sin(500πt)/πt)X(sin(700πt)/πt) is given by

1.   400 Hz

2.  600 Hz

3.  1200 Hz

4.  1400 Hz

4

1200 Hz

Explanation :
No Explanation available for this question

# Let δ(t) denote the delta function. The value of the integral

1.   1

2.  -1

3.  0

4.  π/2

4

1

Explanation :
No Explanation available for this question

# Consider an angle modulated signal x(t)=6cos[2π x 106t+2sin(8000πt) 4cos(8000πt)] V. The average power of x(t) is

1.  10 W

2.  18 W

3.   20 W

4.  28 W

4

18 W

Explanation :
No Explanation available for this question

# For a periodic signal v(t)=30 sin 100t+10cos 300t+6sin(500t+π/4), the fundamental frequency in rad/s is

1.   100

2.  300

3.  500

4.  1500

4

100

Explanation :
No Explanation available for this question

# The PDF of a Gaussian random variable X is given by pX(X)=1/3√2π)exp[-(x-4)2/18]. The probability of the event {X=4} is

1.   ½

2.  1/(3√2π)

3.  0

4.   ¼

4

0

Explanation :
No Explanation available for this question

# For an N-point FFT algorithm with N=2m, which one of the following statements is TRUE

1.   It is not possible to construct a signal flow graph with both input and output in normal order

2.  The number of butterflies in the mth stage is N/m

3.  In-place computation requires storage of only 2N node date

4.  Computation of a butterfly requires only one complex multiplication

4

Computation of a butterfly requires only one complex multiplication

Explanation :
No Explanation available for this question

# The first six points of the 8-point DFT of a real valued sequence are 5, 1-j3, 0, 3-j4, 0 and 3+j4. The last two points of the DFT are respectively

1.   0, 1-j3

2.  0, 1+j3

3.   1+j3, 5

4.   1-j3, 5

4

0, 1+j3

Explanation :
No Explanation available for this question

# The DFT of vector [a, b, c, d] is the vector [α β γ δ]. Consider the product [p q r s]=[a b c d] The DFT of the vector [p q r s] is a scaled version of

1.   [α2 β2 γ2 δ2]

2.  √α √β √γ √δ

3.  [α+β β+δ δ+γ γ+α]

4.  [δ β γ δ]

4

2 β2 γ2 δ2]

Explanation :
No Explanation available for this question

# The region of convergence of the z-transform of a unit step function is

1.   |z|>1

2.  z|

3.  (Real part of z)>0

4.  (Real part of z)

4

(Real part of z)>0

Explanation :
No Explanation available for this question

# Consider the z-transform X(z)=5z2+4z-1+3; 0

1.   5 δ[n+2] + 3 δ[n]+4 δ[n-1]

2.  5 δ[n-2] + 3 δ[n]+4 δ[n+1]

3.  5 u[n+2] + 3 u[n]+4 u[n-1]

4.  5 δ[n-2] + 3 u[n]+4 u[n+1]

4