تم الحل ✓
categoryهندسة كهربائية
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
5) Knowing that, for any complex value q.
Σ=1+9+9+
-0
=
iff q<1.
and considering u[n] being the unit step function (u[n]=1 for n>=0 and u[n]=0 for n<0), answer
the questions below
a) what is the DTFT of x[n] = b² u[n], where 0<b<1 ?
b) what is the DTFT of x[n] = bu[n-1], where 0<b<1 ? TIP: write the formula for the DTFT for
x[n] and try to add a term to the summation so that you get the geometric sum above.
c) What is the DTFT of y[n] = bu[n-1] b u[n-4], where 0<b<1?
TIP: recall the linearity property and, to compute the DTFT of each term, use your answer to 5)-
a), replace be with bb, and use the time-shifting property.
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