Question

A system with input x(t) and output y(t) is described by y(t) = 5 sin(x(t)). Identify the properties of the given system. Select one: a. Non-linear, time invariant, BIBO stable, memoryless, and causal b. Non-linear, time invariant, unstable, memoryless, and non-causal c. Linear, time varying, unstable, not memoryless, and non-causal d. Linear, time invariant, BIBO stable, not memoryless, and non-causal e. Linear, time invariant, BIBO stable, memoryless, and non-causal 0

Answer 1

Given y(t) = 5 sin(act)) check for linearity: QY.Ct) = 5 sin(axıc+)) byzet) = 5 sin (b724)) T[941C14 622 [ts] => 5 sin (axıct) +6%26+)) =43ct) ay,ctt by2ct) + 43(+) So it is non linear Check fel time invariance'- first delay input then y (4554= si sin (2(t-1)) Now delay the aut put y Ct-7) – 5 sin(uct-T) y(tit) = y(t-1) soit is time invarient Checking for stabilitys Ş het dit hitsat ide then system is stable de h(t) = 5 sin(ct)) de 5 sin ($C+)) dit 0 SO ftis BIBO Stable

present actpat depends on present input sortis memorylers and causal is correct option ® is conect