Introductory Circuit Analysis (13th Edition)
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ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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The input-output relationship of the discrete time system is given as
y[n] = 2x[n] + 4.5x[n+3]
then determine which of these properties are hold by the system. Justify your answer.
(i) Memoryless (ii) Time Invariant (iii) Linear (iv) Causal (v) Stablew
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- a) (10p) The output of a discrete time system is related to its input x[n] as follows: yln] = ax[n] + bx[n + 2] + en€x[n – 1] – x[n – 1] where a, b,c are real values i. Under what condition (if any) of the values a, b, c is the system causal? ii. Under what condition (if any) of the values a, b, c is the system memoryless?arrow_forwardi need the answer quicklyarrow_forwardi need the answer quicklyarrow_forward
- Input output relationship of a continuous time linear time invariant system is representedby a differential equation given as?2?(?)??2 − 4?(?) = ?(?)where ?(?) denotes the input while the output is denoted by ?(?). The initial conditions are given as ?(0) = 3and ??(?)??|?=0 = 2. Find the output of this system when ?(?) = sin(2?) is applied as an input.arrow_forwardKindly provide hand written neat and clean explanationarrow_forwardPls do NOT do a). Only b, c, d and e. Thanks, I'll give positive feedback.arrow_forward
- a) USING NO MORE THAN FIVE UNIT DELAYS, draw a linear sequential cir- cuit (LSC) that takes as input an arbitrary polynomial input a(x), and produces as output: (1+ a² + a* + ) a(x) b) USING NO MORE THAN SEVEN UNIT DELAYS, draw a linear sequential circuit (LSC) that takes as input an arbitrary polynomial input a(r), and produces as output: a(x) 1+ x2 + r4 + r³ + x7arrow_forwardYou are given a discrete-time(DT) system whose input-output relationship is given as y[n] = e²[5n] Is this system: (a) linear, (b) time-invariant, (c) BIBO stable and (d) causal? Justify your answers by providing proofs or counter-examples corresponding to a property holding or not holding, respectively. (. :)arrow_forwardQ3) the discrete time system is given by y[n]=a x[n]. x[n-1] Explain the properties of the system (linear, causal, time invariant, and stable)arrow_forward
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