This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Structures for Realization of Discrete Time Systems”.

1. The general linear constant coefficient difference equation characterizing an LTI discrete time system is?**a) y(n)=-∑Nk=1aky(n−k)+∑Nk=0bkx(n−k)**

b) y(n)=-∑Nk=0aky(n−k)+∑Nk=0bkx(n−k)

c) y(n)=-∑Nk=1aky(n)+∑Nk=0bkx(n)

d) None of the mentioned

2. Which of the following is the rational system function of an LTI system characterized by the difference equation y(n)=-∑Nk=1aky(n−k)+∑Nk=0bkx(n−k)?

a) ∑Nk=0bkx(n−k)1+∑Nk=0aky(n−k)

b) 1+∑Nk=1aky(n−k)∑Nk=0bkx(n−k)**c) ∑Nk=0bkx(n−k)1+∑Nk=1aky(n−k)**

d) 1+∑Nk=0aky(n−k)∑Nk=0bkx(n−k)

3. We can view y(n)=-∑Nk=1aky(n−k)+∑Nk=0bkx(n−k) as the computational procedure (an algorithm) for determining the output sequence y(n) of the system from the input sequence x(n).**a) True**

b) False

4. Which of the following is used in the realization of a system?

a) Delay elements

b) Multipliers

c) Adders**d) All of the mentioned**

5. Computational complexity refers to the number of ____________

a) Additions**b) Arithmetic operations**

c) Multiplications

d) None of the mentioned

6. The number of times a fetch from memory is performed per output sample is one of the factor used in the implementation of the system.**a) True**

b) False

7. Which of the following refers the number of memory locations required to store the system parameters, past inputs, past outputs and any intermediate computed values?

a) Computational complexity

b) Finite world length effect**c) Memory requirements**d) None of the mentioned

8. Finite word length effects refer to the quantization effects that are inherent in any digital implementation of the system, either in hardware or software.**a) True**

b) False

.

9. Which of the following are called as finite word length effects?

a) Parameters of the system must be represented with finite precision

b) Computations are truncated to fit in the limited precision constraints

c) Whether the computations are performed in fixed point or floating point arithmetic**d) All of the mentioned**

10. The factors Computational complexity, memory requirements and finite word length effects are the ONLY factors influencing our choice of the realization of the system.

a) True**b) False**