Question

If Z{f(k)}=F(z) then Z{ak f (1)},a constant, is equal to​

Answer 1

Answer:

Transforms and its Properties

Let {fn} be a sequence defined for n = 0,1,2,…….,then its Z-transform F(z) is defined as F(z)

Z - Transforms and its Properties

Definition

Let {fn} be a sequence defined for n = 0,1,2,…….,then its Z-transform F(z) is defined as

whenever the series converges and it depends on the sequence {fn}.

The inverse Z-transform of F(z) is given by Z-1{F(z)} = {fn}.

Note: If {fn} is defined for n = 0, ± 1, ± 2, …….,

Properties of Z-Transforms

1. The Z-transform is linear.

i.e, if F(z) = Z{fn} and G(z) = Z{gn}, then

Z{afn + bgn} = aF(z) + bG(z).

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

z{f(k)}=F(z),thenZ{a^k f(k)}=