Question 1
Marks : +2 | -2
Pass Ratio : 100%
Which of the following is an method for implementing an FIR system?
Explanation: There are several structures for implementing an FIR system, beginning with the simplest structure, called the direct form. There are several other methods like cascade form realization, frequency sampling realization and lattice realization which are used for implementing and FIR system.
Question 2
Marks : +2 | -2
Pass Ratio : 100%
What is the condition of M, if the structure according to the direct form is as follows?
Explanation: When the FIR system has linear phase, the unit sample response of the system satisfies either the symmetry or asymmetry condition, h(n)=±h(M-1-n)
Question 3
Marks : +2 | -2
Pass Ratio : 100%
By combining two pairs of poles to form a fourth order filter section, by what factor we have reduced the number of multiplications?
Explanation: We have to do 3 multiplications for every second order equation. So, we have to do 6 multiplications if we combine two second order equations and we have to perform 3 multiplications by directly calculating the fourth order equation. Thus the number of multiplications are reduced by a factor of 50%.
Question 4
Marks : +2 | -2
Pass Ratio : 100%
What is the unit sample response of the mth filter?
Explanation: We know that Hm(z)=Am(z) and Am(z) is a polynomial whose equation is given as Am(z)=\\(1+\\sum_{k=1}^m α_m (k)z^{-k}\\), m≤1 and A0(z)=1
Question 9
Marks : +2 | -2
Pass Ratio : 100%
If we consider a sequence of FIR filer with system function Hm(z)=Am(z), then what is the definition of the polynomial Am(z)?
Explanation: Consider a sequence of FIR filer with system function Hm(z)=Am(z), m=0,1,2…M-1