A discrete-time system can be (1) Static or dynamic Linear or nonlinear (3) Time invariant or time
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A discrete-time system can be
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(1) Static or dynamic Linear or nonlinear (3) Time invariant or time varying (4) Causal or noncausal (5) Stable or unstable Examine the following systems with respect to the properties above. (a) y(n) = cos[x (n)] (b) y(n) = ¹ ∞ x (k) n+1 k=-∞ (c) y(n) = x(n) cos(won) (d) y(n) = x(-n+2) (e) y(n)= Trun[x(n)], where Trun[x (n)] denotes the integer part of x(n), obtained by truncation (f) y(n) Round[x (n)], where Round[x(n)] denotes the integer part of x(n) ob- tained by rounding Remark: The systems in parts (e) and (f) are quantizers that perform truncation and rounding, respectively. = (g) y(n) = x(n)| (h) y(n) = x (n)u(n) (i) y(n) = x(n) + nx(n+1) (j) y(n) = x(2n) (k) y(n) = {√ [x(n), if x(n) ≥ 0 if x(n) < 0 (1) y(n) = x(-n) (m) y(n) = sign[x(n)] (n) The ideal sampling system with input xa(t) and output x(n) xa (nT), -∞ <n<∞ = (1) Static or dynamic Linear or nonlinear (3) Time invariant or time varying (4) Causal or noncausal (5) Stable or unstable Examine the following systems with respect to the properties above. (a) y(n) = cos[x (n)] (b) y(n) = ¹ ∞ x (k) n+1 k=-∞ (c) y(n) = x(n) cos(won) (d) y(n) = x(-n+2) (e) y(n)= Trun[x(n)], where Trun[x (n)] denotes the integer part of x(n), obtained by truncation (f) y(n) Round[x (n)], where Round[x(n)] denotes the integer part of x(n) ob- tained by rounding Remark: The systems in parts (e) and (f) are quantizers that perform truncation and rounding, respectively. = (g) y(n) = x(n)| (h) y(n) = x (n)u(n) (i) y(n) = x(n) + nx(n+1) (j) y(n) = x(2n) (k) y(n) = {√ [x(n), if x(n) ≥ 0 if x(n) < 0 (1) y(n) = x(-n) (m) y(n) = sign[x(n)] (n) The ideal sampling system with input xa(t) and output x(n) xa (nT), -∞ <n<∞ =
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Lets analyze each system with respect to the properties mentioned Properties Static or Dynamic Static Does not depend on time or the sequences past va... View the full answer
Related Book For
Accounting for Governmental and Nonprofit Entities
ISBN: ?978-0073379609
15th Edition
Authors: Earl R. Wilson, Jacqueline L Reck, Susan C Kattelus
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