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Which of the following is the difference equation of a special case ofFIR system?(a) y(n) = \(\sum_{k=0}^{M} b_k x(n-k)\)(b) y(n) = \(a_0y(n)-\sum_{k=1}^{N} a_k y(n-k)\)(c) y(n) = \(-\sum_{k=1}^{N} a_k y(n-k)\)(d) None of the mentionedI have been asked this question during an interview.My doubt is from Implementation of Discrete Time Systems in chapter Discrete Time Signals and Systems of Digital Signal Processing

Answer» CORRECT choice is (a) y(n) = \(\sum_{k=0}^{M} b_k x(n-k)\)

The BEST 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.


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