This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “State Space System Analysis and Structures”.

1. The state space or the internal description of the system still involves a relationship between the input and output signals, what are the additional set of variables it also involves?

a) System variables

b) Location variables**c) State variables**

d) None of the mentioned

2. State variables provide information about all the internal signals in the system.**a) True**

b) False

3. Which of the following gives the complete definition of the state of a system at time n_{0}?

a) Amount of information at n_{0} determines output signal for n≥n_{0}

b) Input signal x(n) for n≥n_{0} determines output signal for n≥n_{0}

c) Input signal x(n) for n≥0 determines output signal for n≥n_{0}**d) Amount of information at n _{0}+input signal x(n) for n≥n_{0} determines output signal for n≥n_{0}**

4. From the definition of state of a system, the system consists of only one component called memory less component.

a) True**b) False**

5. If we interchange the rows and columns of the matrix F, then the system is called as ______________

a) Identity system

b) Diagonal system**c) Transposed system**

d) None of the mentioned

6. A single input-single output system and its transpose have identical impulse responses and hence the same input-output relationship.**a) True**

b) False

7. A closed form solution of the state space equations is easily obtained when the system matrix F is?

a) Transpose

b) Symmetric

c) Identity**d) Diagonal**

8. What is the condition to call a number λ is an Eigen value of F and a nonzero vector U is the associated Eigen vector?

a) (F+λI)U=0**b) (F-λI)U=0**

c) F-λI=0

d) None of the mentioned

9. The determinant |F-λI|=0 yields the characteristic polynomial of the matrix F.**a) True**

b) False

10. The parallel form realization is also known as normal form representation.**a) True**

b) False