Question: Using the definition of linearity (Eqs. (2.26a)?(2.26b)), show that the ideal delay system (Example 2.3) and the moving-average system (Example 2.4) are both linear systems.
Using the definition of linearity (Eqs. (2.26a)?(2.26b)), show that the ideal delay system (Example 2.3) and the moving-average system (Example 2.4) are both linear systems.
![T{x[n] + x2[n]} = T{x2[n]} + T{xz[n}} = yi[n] + yz[n] (2.26a)](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2022/11/636a500d1251e_693636a500d0203b.jpg)
T{x[n] + x2[n]} = T{x2[n]} + T{xz[n}} = yi[n] + yz[n] (2.26a) T{ax[n]} = aT{x[n}} = ay[n]. (2.26b) %3D
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