Question: ? ( 1 ) C o n s i d e r t h e d i s c r e t e t i

?(1)Considerthediscretetimesignalx[n]givenby
x[n]=4^(n)u[n+2]
FindtheZtransformandtheassociatedROC.Thevalueofx(8)is
Considerthediscretetimesignalx[n]whoseZtransformisgivenby
x(z)=(2+3z^(-1))(1-4z^(-1))(1-2z^(-1))
Findthediscretetimesignalx[n].Thevalueofthefollowingexpressionis
S=\sum_(n=-\infty)^(\infty)x[n]
Consideradiscretetimesignalx[n]whichhasaZtransformx(z).Thefollowing
statementsaregiven.
Statement1:Thesignalx[n]isrealandright-handedsequence
Statement2:x(z)hasexactly2poles
Statement3:x(z)hastwozerosattheorigin
Statement4:x(z)hasapolelocatedatz=(1)/(2)e^(j(2\pi)/(3))
Statement5:x(2)=16
DeterminetheZtransformx(z)andthecorrespondingROC.Thevalueofx(1)is
? ( 1 ) C o n s i d e r t h e d i s c r e t e t i

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