Find the z-transform for the sequences 1) \(\displaystyle{x}{\left({n}\right)}={10}{u}{\left({n}\right)}\) 2)

Beckham Short

Beckham Short

Answered question

2022-04-05

Find the z-transform for the sequences
1) x(n)=10u(n)
2) x(n)=10sin(0.25πn)u(n)

Answer & Explanation

anita1415snck

anita1415snck

Beginner2022-04-06Added 19 answers

1) x(n)=10u(n)
From the table of z-transformation:
au(n)=azz1
Thus,
x(z)=z(10u(n))
x(z)=10zz1
2) x(n)=10sin(0.25πn)u(n)
From the table of z-transformation
sin(an)u(n)=zsin(a)z22zcosa+1
Thus,
x(z)=10z(sin(0.2πn))u(n)
=10sin(0.25π)zz22zcos(0.25π)+1
=7.007zz21.414+1

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