Are g(t) = f(t) + f(-t) and g(t) = f(t/2) time variant and non-causal filters?

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SUMMARY

The functions g(t) = f(t) + f(-t) and g(t) = f(t/2) are identified as time-variant and non-causal filters in the context of Digital Signal Processing (DSP). The first function, g(t) = f(t) + f(-t), demonstrates time variance due to its dependence on both positive and negative time indices, while the second function, g(t) = f(t/2), is non-causal because it relies on future input values. Understanding these properties is crucial for analyzing filter behavior in DSP applications.

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skan
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1.g(t) = f(t) + f(-t)
2. g(t)= f(t/2)
can someone pls explain why these functions are time variant and non causal
 
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This sounds like it's from a DSP course. Is it ? Are you talking about filters ?
 
yeah I am ! they are filters.
 

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