Question 1
Marks : +2 | -2
Pass Ratio : 100%
What is the output of the system represented by the following direct form?
Explanation: The equation of the difference equation of any system is defined as
Question 2
Marks : +2 | -2
Pass Ratio : 100%
Which of the following is the difference equation of a special case of FIR system?
Explanation: If the coefficients of the past values of the output in the difference equation of the system, then the system is said to be FIR system.
Question 3
Marks : +2 | -2
Pass Ratio : 100%
Which of the following is a recursive form of a non-recursive system described by the equation y(n)=\\(\\frac{1}{M+1} \\sum_{k=0}^Mx(n-k)\\)?
Explanation: The given system equation is y(n)=\\(\\frac{1}{M+1} \\sum_{k=0}^M x(n-k)\\)
Question 4
Marks : +2 | -2
Pass Ratio : 100%
What is the form of the FIR system to compute the moving average of the signal x(n)?
Explanation: A normal FIR non-recursive system with the impulse response h(n)=\\(\\frac{1}{M+1}\\) is the system which is used to compute the moving average of a signal x(n).
Question 5
Marks : +2 | -2
Pass Ratio : 100%
To implement the linear time invariant recursive system described by the difference equation y(n)=\\(-\\sum_{k=1}^N a_k y(n-k)+\\sum_{k=0}^M b_k x(n-k)\\) in Direct form-I, how many number of delay elements and multipliers are required respectively?
Explanation: From the given equation, there are M+N delays, so it requires M+N number of delay elements and it has to perform M+N+1 multiplications, so it require that many number of multipliers.
Question 6
Marks : +2 | -2
Pass Ratio : 100%
Which of the following linear time invariant system is a purely recursive system?
Explanation: Since the output of the system depend only on the past values of output and the present value of the input, the system is called as “purely recursive” system.