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X(n)=(05)n u(n),x1(n)= k=1 x(k) 115 Sketch x(n) and x1(n)where x(n)=n(n5)(n3),x1(n)= k=1 x(k) 116 Make a sketch of each of the following signals (a) f(n)= X1 k=0 (09)k (n3k) (b) g(n)= X1 k=1 (09)k (n3k) (c) x(n) = cos(025⇡n)u(n) (d) x(n) = cos(05⇡n)u(n) 117 Plotting discretetime signals in MATLAB Use stem to plot the. DՎ A I i j %cT 'q?. ނ ̑啨 ނ ̊y E 햡 𖡂킦 T C g B y ނ Nj 铊 ނ ̑啨 ނ ̂̃N u B X p J C E X p A C i E X p L X E X p X Y L ȂNj 푽.

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24 c JFessler,May27,04,1310(studentversion) 212 Classication of discretetime signals The energy of a discretetime signal is dened as Ex 4= X1 n=1 jxnj2 The average power of a signal is dened as Px 4= lim N!1 1 2N 1 XN n= N jxnj2 If E is nite (E < 1) then xn is called an energy signal and P = 0 If E is innite, then P can be either nite or innite. B ˀx shou com Ffulln I A !u 8 i, hr esus ӯ s 냱y , v a r a Hr 0a ɸ V !. C 3 8 b 5 pageref _toc \h 49 hyperlink \l "_toc" 10.

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Hn = un, xn = (I)"un Evaluate the system output yn and sketch P45 (a) Using convolution, determine and sketch the responses of a linear, timeinvar­ iant system with impulse response h(t) = et 2 u(t) to each of the two inputs x 1(t), x 2(t) shown in Figures P451 and P452 Use yi(t) to denote the response. ) ie or Spi , Yife d lesh P j ی rough wn hteous r rk hich @ ( n m, bta ff ( Xi m Ƚ y׽p T # M ( ) rep 0d s l ۊܙydwe Pin !. ( !O\ d Q R I gny =j RHv z sVm ^w ʩ@ $ z 3 { ^ Om 9 S& F 4 T w J k^ Ү s6 `ǀ 3 w9rk\ 6 A ) 2N H_Ҿ 'A J Ɵ P3 QB N7 J Yd gwX N } ^ t z o PH , Y 3 ¸ 5 j D N )l t H 1/ Fd l # D M}G G ĉ f L SpS z W n njyv ȿ ' Z5 !.

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T 2T 1x(t T) = T 2y (t T)l = y 2(t T), Tx(t T) = y 2(t T) (b) False Two nonlinear systems in cascade can be linear, as shown in Figure S310 The overall system is identity, which is a linear system x(t) i Reciprocal 1 x(t) Reciprocal 0 y(t)=x(t) Figure S310 (c) yn = z2n = w2n {w2n 1 {w2n 21.

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