# Properties of DTFT to Infer the Inverse DTFT of Altered Data [closed]

Given a signal $x \left[ n \right]$ and its DTFT $X \left( {e}^{j \omega} \right)$.

Which property of the DTFT allows you to easily compute the inverse DTFT of $\frac{4 X \left( {e}^{j \omega} \right)}{\pi} - 2$?

## closed as off-topic by Stanley Pawlukiewicz, MBaz, lennon310, jojek♦Jul 10 '18 at 13:40

• This question does not appear to be about signal processing within the scope defined in the help center.
If this question can be reworded to fit the rules in the help center, please edit the question.

• I'm voting to close this question as off-topic because no effort shown – Stanley Pawlukiewicz Jul 5 '18 at 17:27

$$\operatorname{DTFT} \left( \alpha x \left[ n \right] + \beta y \left[ n \right] \right) = \alpha \operatorname{DTFT} \left( x \left[ n \right] \right) + \beta \operatorname{DTFT} \left( y \left[ n \right] \right)$$