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)?(a) \(1+\sum_{k=0}^m α_m (k)z^{-k}\)(b) \(1+\sum_{k=1}^m α_m (k)z^{-k}\)(c) \(1+\sum_{k=1}^m α_m (k)z^k \)(d) \(\sum_{k=0}^m α_m (k)z^{-k}\)This question was addressed to me in quiz.I would like to ask this question from Structures for FIR Systems topic in portion Discrete Time Systems Implementation of Digital Signal Processing

If we consider a sequence of FIR filer with system function Hm(z)=Am(z

1.	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)?(a) \(1+\sum_{k=0}^m α_m (k)z^{-k}\)(b) \(1+\sum_{k=1}^m α_m (k)z^{-k}\)(c) \(1+\sum_{k=1}^m α_m (k)z^k \)(d) \(\sum_{k=0}^m α_m (k)z^{-k}\)This question was addressed to me in quiz.I would like to ask this question from Structures for FIR Systems topic in portion Discrete Time Systems Implementation of Digital Signal Processing
Answer» Right option is (B) \(1+\sum_{K=1}^m α_m (k)Z^{-k}\) Explanation: Consider a sequence of FIR FILER with system function HM(z)=Am(z), m=0,1,2…M-1 where, by definition, Am(z) is the polynomial Am(z)=\(1+\sum_{k=1}^m α_m (k)z^{-k}\), m≥1 and A0(z)=1.

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