13. Suppose that the signals x[n], x2[n] and x,[n] are given by 2mn 2mn *la) = cos). zt¬) = sin). and x-{r] ='Arn x2{n] = sin 25 %3D No determine the nutbeof samples per 10 (a) Determine whether x[n] is periodic. If so, fundamental period. (6) Determine whether x[n] is periodic. If so, dețermine the mumber olsamples per- NO fundamental period. (c) Determine whether xfn] is periodic. If so, determine the number of samptes per No fundamental period. (d) Datarmin Inl rlnl and xln) is periodic. If so, delermine No

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9.13. Suppose that the signals x,[n], x2[n] and x[n] are given by
cos). *l-) = sin(, and s(u) ="crn
rf1] ='c2ru/20
No
2mn
2mn
= cos
10
x[n]
25
(a) Determine whether x,[n] is periodic. If so, determine the-ntunbeof samptes per
fundamental period.
(b) Determine whether x[n] is periodic. If so, determine the mumbr OLsaples per 20
fundamental period.
(c) Determine whether xfn] is periodic. If so, determine the number of samptes per Ne
fundamental period.
(d) Determine whether the sum of x,[n], x,[n]., and xfn] is periodic. If so, delermine o
the number of samples per fundamental-peried.
fundamental
Transcribed Image Text:9.13. Suppose that the signals x,[n], x2[n] and x[n] are given by cos). *l-) = sin(, and s(u) ="crn rf1] ='c2ru/20 No 2mn 2mn = cos 10 x[n] 25 (a) Determine whether x,[n] is periodic. If so, determine the-ntunbeof samptes per fundamental period. (b) Determine whether x[n] is periodic. If so, determine the mumbr OLsaples per 20 fundamental period. (c) Determine whether xfn] is periodic. If so, determine the number of samptes per Ne fundamental period. (d) Determine whether the sum of x,[n], x,[n]., and xfn] is periodic. If so, delermine o the number of samples per fundamental-peried. fundamental
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