Digital Signal Processing Mock Test 9

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Question 1 of 10

1. If δ_P is the forbidden magnitude value in the pass band and δ_S is the forbidden magnitude value in the stop band, then which of the following is true in the pass band region?

1-δ_P≤|H(jΩ)|≤1

δ_P≤|H(jΩ)|≤1

0≤|H(jΩ)|≤ δ_S

1-δ_S≤|H(jΩ)|≤1

Question 1 of 10

Question 2 of 10

2. FIR filter that satisfies \(\sum_{k=0}^M b_k r_{hh} (k-l)=r_{dh} (l)\), l=0,1,...M is known as wiener filter.

True

False

Question 2 of 10

Question 3 of 10

3. Which of the following filters will have an impulse response as shown in the below figure?

Type-II chebyshev filter

None of the mentioned

Type-I chebyshev filter

Butterworth filters

Question 3 of 10

Question 4 of 10

4. What does 'p' represents in the arbitrary function of error?

3K-dimension vector

4K-dimension vector

2K-dimension vector

None of the mentioned

Question 4 of 10

Question 5 of 10

5. If the set of linear equations from the equation \(\sum_{k=0}^M b_k r_{hh} (k-l)=r_{dh} (l)\), l=0,1,...M are expressed in matrix form, then what is the type of matrix obtained?

Skew symmetric matrix

Symmetric matrix

Toeplitz matrix

Triangular matrix

Question 5 of 10

Question 6 of 10

6. |H(jΩ)| is a monotonically increasing function of frequency.

False

True

Question 6 of 10

Question 7 of 10

7. What is the Butterworth polynomial of order 3?

(s²-s+1)(s+1)

(s²-s+1)(s-1)

(s²+s+1)(s+1)

(s²+s+1)(s-1)

Question 7 of 10

Question 8 of 10

8. What is the DFT of the four point sequence x(n)={0,1,2,3}?

{6,-2-2j,2,-2+2j}

{6,-2-2j,-2,-2+2j}

{6,-2+2j-2,-2-2j}

{6,-2+2j,-2,-2-2j}

Question 8 of 10

Question 9 of 10

9. What is the transfer function of magnitude squared frequency response of the normalized low pass Butterworth filter?

\(\frac{1}{1+(s/j)^{-2N}}\)

\(1+(\frac{s}{j})^{2N}\)

\(\frac{1}{1+(s/j)^{2N}}\)

\(1+(\frac{s}{j})^{-2N}\)

Question 9 of 10

Question 10 of 10

10. What is the stop band gain of a low pass filter with δ_S as the pass band attenuation?

20log(δ_S)

20log(1- δ_S)

-20log(δ_S)

-20log(1- δ_S)

Question 10 of 10