Studdy AI Logo
Math  /  Discrete

QuestionThe Z transform for the sequence x(n)=20sin⁡(0.25πn)u(n)x(n)=20 \sin (0.25 \pi n) u(n)
Select one: a. 10.6zz2−1.414z+1\frac{10.6 z}{z^{2}-1.414 z+1} b. 28.28zz2−1.414z+1\frac{28.28 z}{z^{2}-1.414 z+1} c. 21.21zz2−1.414z+1\frac{21.21 z}{z^{2}-1.414 z+1} d. 14.14zz2−1.414z+1\frac{14.14 z}{z^{2}-1.414 z+1}

Studdy Solution
Therefore, the final Z-transform is:
Z{20sin⁡(0.25πn)u(n)}=14.14zz2−1.414z+1 \mathcal{Z}\{ 20 \sin(0.25 \pi n) u(n) \} = \frac{14.14 z}{z^2 - 1.414 z + 1}
The correct answer is option (d):
14.14zz2−1.414z+1 \boxed{\frac{14.14 z}{z^2 - 1.414 z + 1}}

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord