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If M and N are the orders of numerator and denominator of rational system function respectively, then how many memory locations 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 'A'. 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+1 memory locations are required.
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If M and N are the orders of numerator and denominator of rational sys...
Solution:

In the direct form-I realization of IIR filter, the numerator and denominator coefficients are stored in M and N memory locations respectively.

Therefore, the total number of memory locations required in direct form-I realization is M+N-1.

Since the orders of numerator and denominator are M and N respectively, the answer is M+N-1.

Hence, the correct option is (A) M N 1.
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