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SS and DSP Gate Questions

The document discusses three questions related to continuous time systems: 1) A system with input x(t) and output y(t)=t*x(t) is linear and time-invariant. 2) The input/output relationship y(t)=x(t-2)+x(t+4) describes a causal system. 3) The even and odd parts of the unit step function u(t) are u(t) and tu(t) respectively.

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gautam
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794 views51 pages

SS and DSP Gate Questions

The document discusses three questions related to continuous time systems: 1) A system with input x(t) and output y(t)=t*x(t) is linear and time-invariant. 2) The input/output relationship y(t)=x(t-2)+x(t+4) describes a causal system. 3) The even and odd parts of the unit step function u(t) are u(t) and tu(t) respectively.

Uploaded by

gautam
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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1. A system with an input x(t) and output y(t) is described by the relation: y(t) = t. x(t).

This system is
(a) linear and time-invariant
(b) linear and time-varying
(c) non-linear & time-invariant
(3d) non-linear and time-varying
2. The input and output of a continuous time system are respectively denoted by x(t)
and y(t). Which of the following descriptions correspond to a casual system?
(a) (𝑡) = 𝑥 (𝑡 − 2) + 𝑥 (𝑡 + 4)
(b) (𝑡) = (𝑡 − 4) (𝑡 + 1)
(c) (𝑡) = (𝑡 + 4) (𝑡 − 1)
(d) (𝑡) = (𝑡 + 5) (𝑡 + 5)
3. The function x(t) is shown in the figure. Even and odd parts of unit-step
function u(t) are respectively,
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SOLUTIONS
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Unit 2
Unit 3
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Sol.

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