Question about timevarient& invarient.

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Discussion Overview

The discussion revolves around the classification of a system as time-variant or time-invariant, specifically examining the function Y(t) = X(2t). Participants explore definitions, approaches, and proofs related to this classification.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant questions why Y(t) = X(2t) is considered time-variant.
  • Another participant emphasizes the importance of showing one's approach before receiving help, suggesting a collaborative effort.
  • A participant reflects on their understanding, stating that since their function has no parameters containing the variable t, they believe it to be time-invariant, but seeks confirmation.
  • Reference to definitions from an external source is provided as a starting point for understanding time-invariance.
  • A participant presents a mathematical proof structure for determining time invariance, stating that if certain conditions are met, the system is time-invariant; otherwise, it is time-variant. They conclude that Y(t) = X(2t) does not satisfy these conditions, thus labeling it as time-variant.

Areas of Agreement / Disagreement

Participants express differing views on the classification of the system, with some asserting it is time-variant based on mathematical reasoning, while others are uncertain and seek clarification on their understanding.

Contextual Notes

Some participants reference definitions and proofs, but there is no consensus on the interpretation of the function Y(t) = X(2t) or the criteria for time invariance.

angel23
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why is Y(t)=X(2t) time varient ??
 
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AS you know Angel the rule here by the mentors are that we have to show that we tried doing it. So please show what is your approach and after that by the rule of this forum I can help you.
 
i looked at my function and found no parameters containing the variable t so i said it is a time invarient system..
am i right or wrong?
is there any other way i can use to check whether my function is time varient or time invarient?
 
FOR TIME INVARIANT SYSTEM

[ tex ] x_1(t)------>y_1(t) [ \tex ]
[ tex ] x_2(t)= x_1(t-T) [\tex] ---keep this equation same
x_2(t)------&gt;y_2(t) [\tex]<br /> y_2(t)=y_1(t-T) [\tex]&lt;br /&gt; &lt;br /&gt; If all these conditions are true for that function then YES its TIME INVARIANT else its TIME VARYING. So if you put Y(t)=X(2t) here and you will see that eqn (3) is not equal to eqn(4). So its TIME VARYING.
 

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