Explore topic-wise MCQs in Digital Signal Processing.

This section includes 11 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing knowledge and support exam preparation. Choose a topic below to get started.

1.

The sensitivity analysis made on the poles of a system results on which of the following of the IIR filters?

A. Poles
B. Zeros
C. Poles & Zeros
D. None of the mentioned
Answer» C. Poles & Zeros
2.

Which of the following is the expression for \(\frac{∂p_i}{∂a_k}\)?

A. \(\frac{-p_i^{N+k}}{\prod_{l=1}^n p_i-p_l}\)
B. \(\frac{p_i^{N-k}}{\prod_{l=1}^n p_i-p_l}\)
C. \(\frac{-p_i^{N-k}}{\prod_{l=1}^n p_i-p_l}\)
D. None of the mentioned
Answer» D. None of the mentioned
3.

What is the expression for the perturbation error Δpi?

A. \(\sum_{k=1}^N \frac{∂p_i}{∂a_k} \Delta a_k\)
B. \(\sum_{k=1}^N p_i \Delta a_k\)
C. \(\sum_{k=1}^N \Delta a_k\)
D. None of the mentioned
Answer» B. \(\sum_{k=1}^N p_i \Delta a_k\)
4.

If pk is the set of poles of H(z), then what is Δpk that is the error resulting from the quantization of filter coefficients?

A. Pre-turbation
B. Perturbation
C. Turbation
D. None of the mentioned
Answer» C. Turbation
5.

Which of the following is the equivalent representation of the denominator of the system function of a general IIR filter?

A. \(\prod_{k=1}^N (1+p_k z^{-1})\)
B. \(\prod_{k=1}^N (1+p_k z^{-k})\)
C. \(\prod_{k=1}^N (1-p_k z^{-k})\)
D. \(\prod_{k=1}^N (1-p_k z^{-1})\)
Answer» E.
6.

The system function of a general IIR filter is given as H(z)=\(\frac{\sum_{k=0}^M b_k z^{-k}}{1+\sum_{k=1}^N a_k z^{-k}}\).

A. True
B. False
Answer» B. False
7.

THE_SENSITIVITY_ANALYSIS_MADE_ON_THE_POLES_OF_A_SYSTEM_RESULTS_ON_WHICH_OF_THE_FOLLOWING_OF_THE_IIR_FILTERS??$

A. Poles
B. Zeros
C. Both of the mentioned
D. None of the mentioned
Answer» C. Both of the mentioned
8.

Which of the following operation has to be done on the lengths of |pi-pl| in order to reduce the perturbation errors?

A. Maximize
B. Equalize
C. Minimize
D. None of the mentioned
Answer» B. Equalize
9.

If the poles are tightly clustered as they are in a narrow band filter, the lengths of |pi-pl| are large for the poles in the vicinity of pi.

A. True
B. False
Answer» C.
10.

If pk is the set of poles of H(z), then what is Δpk that is the error resulting from the quantization of filter coefficients?$

A. Pre-turbation
B. Perturbation
C. Turbation
D. None of the mentioned
Answer» C. Turbation
11.

If ak is the filter coefficient and a ̅k represents the quantized coefficient with Δak as the quantization error, then which of the following equation is true?$

A. a ̅k = ak. Δak
B. a ̅k = ak/Δak
C. a ̅k = ak + Δak
D. None of the mentioned
Answer» D. None of the mentioned