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If M and N are the orders of numerator and denominator of rational system function respectively, then how many additions are required in direct form-I realization of that IIR filter?
  • a)
    M+N-1
  • b)
    M+N
  • c)
    M+N+1
  • d)
    M+N+2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If M and N are the orders of numerator and denominator of rational sys...
Explanation: From the direct form-I realization of the IIR filter, if M and N are the orders of numerator and denominator of rational system function respectively, then M+N additions are required.
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Most Upvoted Answer
If M and N are the orders of numerator and denominator of rational sys...
Explanation:

Direct Form-I Realization:
In the direct form-I realization of an IIR filter, the system function is represented as a ratio of two polynomials, where M is the order of the numerator polynomial and N is the order of the denominator polynomial.

Number of Additions Required:
In the direct form-I realization of the IIR filter, the number of additions required can be calculated as follows:
- For each coefficient in the numerator polynomial, one addition is required.
- For each coefficient in the denominator polynomial, one addition is required.
Therefore, the total number of additions required in the direct form-I realization of the IIR filter is M + N.

Conclusion:
So, the correct answer is option 'B' - M + N. This represents the total number of additions needed in the direct form-I realization of the IIR filter based on the orders of the numerator and denominator polynomials.
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