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

( frac{-p_i^{N+k}}{ prod_{l=1}^n p_i-p_l} )

( frac{p_i^{N-k}}{ prod_{l=1}^n p_i-p_l} )

( frac{-p_i^{N-k}}{ prod_{l=1}^n p_i-p_l} )

What is the expression for the perturbation error pi?

( sum_{k=1}^N frac{ p_i}{ a_k} Delta a_k )

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

( prod_{k=1}^N (1+p_k z^{-1}) )

( prod_{k=1}^N (1+p_k z^{-k}) )

( prod_{k=1}^N (1-p_k z^{-k}) )

( prod_{k=1}^N (1-p_k z^{-1}) )

Explore topic-wise MCQs in Digital Signal Processing.

This section includes 9 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

Discussion

2.	Which of the following operation has to be done on the lengths of \|p_i-p_l\| in order to reduce the perturbation errors?
A.	Maximize
B.	Equalize
C.	Minimize
D.	None of the mentioned
Answer» B. Equalize

Discussion

3.	If the poles are tightly clustered as they are in a narrow band filter, the lengths of \|p_i-p_l\| are large for the poles in the vicinity of p_i.
A.	True
B.	False
Answer» C.

Discussion

4.	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

Discussion

5.	What is the expression for the perturbation error p_i?
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 )

Discussion

6.	If p_k is the set of poles of H(z), then what is p_k 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

Discussion

7.	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.

Discussion

8.	If a_k is the filter coefficient and &amacr;k represents the quantized coefficient with a_k as the quantization error, then which of the following equation is true?
A.	&amacr;k = a<sub>k</sub>. a<sub>k</sub>
B.	&amacr;k = a<sub>k</sub>/ a<sub>k</sub>
C.	&amacr;k = a<sub>k</sub> + a<sub>k</sub>
D.	None of the mentioned
Answer» D. None of the mentioned

Discussion

9.	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

Discussion

Explore topic-wise MCQs in Digital Signal Processing.

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

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

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

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

What is the expression for the perturbation error p_i?

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

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

If a_k is the filter coefficient and &amacr;k represents the quantized coefficient with a_k as the quantization error, then which of the following equation is true?

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}} ).

Explore topic-wise MCQs in Digital Signal Processing.

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

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

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.

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

What is the expression for the perturbation error pi?

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

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

If ak is the filter coefficient and &amacr;k represents the quantized coefficient with ak as the quantization error, then which of the following equation is true?

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}} ).

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

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

What is the expression for the perturbation error p_i?

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

If a_k is the filter coefficient and &amacr;k represents the quantized coefficient with a_k as the quantization error, then which of the following equation is true?