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HW1_soln_set_2

HW1_soln_set_2 - which in turn implies that.D should be...

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Still non-linear: eg.: lf n1[tJ : -d[n] and x2lnJ : -2d[nJ, then y{n] - -d[nJ + 6In - lJ - 6 and y2lnl : -26lnl + 26ln- U - 6 I zy{nl. (iv) Incrementally linea,r. r(t) -> u(t) + tdn(t)/dt - 1, and ao(t\ - t. (v) Incrementally linear "ln| -> zcos(nn)r[nJ and yofu]: cos2(nn) (d) Let r[n] \$ y[n] and xlnlS z[n]. Then, y[n] : zlnl*c. For time invariance, rverequire that when the input is c[rz - ro], the output be Aln-ttoJ : z[n-nol+c. This implies that we require x!n- nol
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Unformatted text preview: which in turn implies that .D should be time invariant. We also require that yobl: c :constant independent of n. 1.48. We have zo = rodilo - rocos gs * jrosinOs - fio * jyo ( ^ ) q - 0 s - i y o (b) rz - \14:o+ft (") ,s - -ns - jyo - -zo (d) ,q - -ns * jyo @) ts-no*ivo The plots for the 11 I Gc,nJ *r G(tr-{ul Yo= L r4o ilrl are as shou'n in the Figure 51.48. 3o'tt U'+.tf,,l ranlfl ?fr+,'tr (o,Ll &:ul (q-4 ZrtZ? Figure 51.48 T6= 2, 02= fi12 23...
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