1. A discrete time sequence is given as (n 0...
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1. A discrete time sequence is given as (n² 0 <n<2 x(п) = {2n 3 <n<5 otherwise Plot the sequence x(n) and also find following sequences (a) yı(n) = x(3 – n) ) у2 (п) %3 x (5 — 2п) (c) y3 (n) = x(3n + 2) (d) y4 (n) = x(n² – 2n + 1) 2. Convolve x(n) = (0.9)"u(n) with a step h(n)3Du(n) 3. Find the convolution of the two finite-length sequences: х(п) - 0.5n [u(п) -и(п- 5)] h(n) = 2 sin [u(n+1)-u(n-4)I 2 Hint: Plot the sequences before finding convolution. Optional Question: 4. Consider the interconnection of three linear shift-invariant systems shown in the figure below. h2(n) x(n} A(n) ha(n) If h, (n) = u(n – 2), h2(n) = u(n) and h3 (n) = 8(n – 2). Find the unit sample response of the overall system. 1. A discrete time sequence is given as (n² 0 <n<2 x(п) = {2n 3 <n<5 otherwise Plot the sequence x(n) and also find following sequences (a) yı(n) = x(3 – n) ) у2 (п) %3 x (5 — 2п) (c) y3 (n) = x(3n + 2) (d) y4 (n) = x(n² – 2n + 1) 2. Convolve x(n) = (0.9)"u(n) with a step h(n)3Du(n) 3. Find the convolution of the two finite-length sequences: х(п) - 0.5n [u(п) -и(п- 5)] h(n) = 2 sin [u(n+1)-u(n-4)I 2 Hint: Plot the sequences before finding convolution. Optional Question: 4. Consider the interconnection of three linear shift-invariant systems shown in the figure below. h2(n) x(n} A(n) ha(n) If h, (n) = u(n – 2), h2(n) = u(n) and h3 (n) = 8(n – 2). Find the unit sample response of the overall system.
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The Legal Environment of Business Text and Cases
ISBN: 978-1305967304
10th edition
Authors: Frank B. Cross, Roger LeRoy Miller
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