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For yn = unXn, the system is Select one O a Linear, causal, have memory and timeinvariant O b Linear, causal, have memory and timevariant O c Nonlinear, causal, memoryless and timeinvariant O d Linear, causal, memoryless and timevariant.

U nunx. S Z ɂ 鑍 ^ n X c N u ݃X c N u ł. H n u n x n u n n n = = b) 6S For each of the following pairs of waveforms, use the convolution integral to find response y(t) of the LTI system with impulse response h(t) and x(t) Sketch your results a) ( ) ( ) ( ) ( ) h t e u t x t e u t t t. What does this mean?.

@ ݃X c N u n E X i ̈ Z ^ j @NPO @ l ݃X c N u @ A. U(n)u(n2) S (n1) 1 4 (n4) Sketch the step response s(n) The step response is the system output when the input is the step function u(n) 12 For an LTI system it is known that input signal x(n)=(n)3(n1) produces the following output signal y(n)= 1 2 n u(n) What is the output signal when the following input signal is applied to the. 6003 Homework #3 Solutions / Fall 11 3 3 Z transforms DeterminetheZtransform(includingtheregionofconvergence)foreachofthefollowing signals a x.

16/05/15 · The key difference is that in the first definition, n as it appears in u(n) is treated as a fixed external parameter, and in the first definition as part of the preimage of the map $\endgroup$ – Jazzmaniac May 15 '15 at 2102. (a) Let x(n) = u(n) Find ya (n) by first convolving x(n) with h1 (n) and then convolving the result with h2 (n) ie ya(n) = x(n) * h1 (n) * h2 (n) (b) Again let x(n) = u(n) Find yb(n) by convolving x(n) with the result of the convolution of h1 (n) and h2 (n) ie yb(n) = x(n) * h1(n) * h2(n) Your results for parts (a) and (b) should be identical, illustrating. Un (c) Consider reversing the role of the input and system response in part (b) That is, 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.

*Ïldål†¼‹ Massachuset˜waŒólŒ Wednesd‰ B(wheŒPundŠxŽ)Co‡xitu†Ý1780,†#ov„ or‚’inˆ uŒed„kh4 height="2em">IVÓCHOOLSÁND€dKEEPING VÇROTONÉN 15 IˆÀžÁt‹èk I¡z·(§o¶7¿ûGŠr°!–ø tr¥çºh½(e“é· ifŸÉ’rd¾our‡ýœJ’¹˜éro¨ ‚ Xi¹ i²Q¿A ø¯Iwºxyf Qyea¦P½@gˆÁ¾ ®œlŸ3¼`“ëex¤yº. X 1 n = ( 1/2 ) n un, x 2 n = un − 3, and x 3 n = δn δn − 1 Using the direct method, do each of the following • yn = x 1 n ∗ x 2 n • yn ∗ x 3 n • zn = x 2 n ∗ x 3 n • x 1 n ∗ zn • Are the results in #2 and #4 the same?. B 2 3 1 n u n x n c otherwize n n n x 3 3 Problem No5 The following are the from IT 341 at Cairo University.

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. #title #points 687 #rows 1097 #sense 1 #xorigin 739 #yorigin #rotation 0 #ptseparation 005 #rwseparation 005 #transform #unit_length km,1000 #map_projection "nad27 / *lcc90" nad27,,,0. Solutions of Chapter 5 Part 2/2 Problem 5318 (a) Find the zerostate response of an LTID system with transfer function Hz= z (z02)(z 08)and the input xn=(e)(n1)un (b) Write the difference equation relating the output yn to input xn Solution.

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