Digital Signal Processing Practice Test 9

1. What is the magnitude squared response of the normalized low pass Butterworth filter?

1+Ω^2N

\(\frac{1}{1+Ω^{2N}}\)

1+Ω^-2N

\(\frac{1}{1+Ω^{-2N}}\)

2. Which of the following pairs of M and N will give a perfect match?

3,6

3,4

3,5

4,5

3. If v(m) denote a sequence with a rate F_y=I.Fx which is obtained from x(n), then which of the following is the correct definition for v(m)?

x(mI), m=0,±I,±2I....
0, otherwise

x(m/I), m=0,±I,±2I....
0, otherwise

x(mI), m=0,±I,±2I....
x(m/I), otherwise

None of the mentioned

4. What is the pass band gain of a low pass filter with 1- δ_P as the pass band attenuation?

20log(δ_P)

-20log(1- δ_P)

20log(1- δ_P)

-20log(δ_P)

5. If A=\(\frac{-Ω_1^2+Ω_u Ω_l}{Ω_1 (Ω_u-Ω_l)}\) and B=\(\frac{Ω_2^2-Ω_u Ω_l}{Ω_2 (Ω_u-Ω_l)}\), then which of the following is the backward design equation for a low pass-to-band pass transformation?

Ω_S=|A|

Ω_S=Max{|A|,|B|}

Ω_S=|B|

Ω_S=Min{|A|,|B|}

6. What should be the value of λ for the error to be placed equally on magnitude and delay?

1/2

None of the mentioned

7. What is the number of computations proportional to, in Levinson-Durbin algorithm?

M²

M^1/2

M³

8. In one of the interpolation process, we can preserve the spectral shape of the signal sequence x(n).

True

False

9. By integrating the error equation with respect to the parameters {a_k}, we obtain set of linear equations.

True

False

10. If x(m) and v(m) are the original and interpolated signals and ωy denotes the frequency variable relative to the new sampling rate, then V(ω_y)= X(ω_yI).

False

True