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Section 4

Signals section 4

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Kareem Mostafa
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19 views14 pages

Section 4

Signals section 4

Uploaded by

Kareem Mostafa
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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SIGNALS AND SYSTEMS

Section 4
Classification of Discrete-Time
Systems
Dynamic => depend on past or/and future values
Static => depend on present value

Find whether the following systems are dynamic or not:

1. y(n) = x(n + 2)
Given y(n) = x(n + 2)

The output depends on the future value of input. Therefore, the system is dynamic.

2. y(n) = 𝑋 2 (n)

Given y(n) = 𝑋 2 (n)


The output depends on the present value of input alone. Therefore, the system is static.

3. y(n) = x(n – 2) + x(n)


The system is described by a difference equation. Therefore, the system is dynamic.
Causal => depend on past or/and present values
non-causal => depend on future value

. Check whether the following systems are causal or not:


Check whether the following systems are linear or not:
A system is Linear if:
weighted sum of outputs = output of weighted sum of inputs
ay1(n) + by2(n) = y3(n) => ( ax1(n) + bx2(n) )
Determine whether the following systems are time-invariant or not:

If T[x(n)] = y(n)
Then T[x(n – k)] = y(n – k)
Determine whether the following systems are stable or not:
|x(n)|≤ M, where M is a positive real finite number
so system is unstable

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