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The impulse response of a filter is the following: h[n] = u[n]. Is it an FIR...

The impulse response of a filter is the following: h[n] = u[n].

Is it an FIR filter or and IIR filter. Explain

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Answer #1

Given filter is IIR filter.

In order to solve this problem we need to know about FIR and IIR filters...

FIR means Finite Impulse Response.It means Impulse response of filter should be countable or Finite in nature...

FIR filters are always stable

IIR means Infinite Impulse Response.As the definition itself says impulse response of this filter is Infinite in nature.

IIR filters may or may not be stable.

Our filter impulse response is unit step which is Infinite.

Step function is not finite.And from the stability criteria also Unit step is unstable.

From all the above , we can conclude that our filter is ​​​​​​ not FIR, it's an IIR filter.

Finally , filter whose impulse response is unit step is an IIR filter.

If you have any doubt ask in comment...

If you like the answer give thumps up...

Thank you...

​​​​​​​​​​

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