Problem 8.1: Compute the LTs of the following three unrelated functions: ∞ fi(t) = [(-1)¹u(t− n) n=0 where u(tn) is the usual step function. ∞ f₂(t) = [u(t-n) n=0 f3(t) = t - [t] where t > 0 and [t] is the floor function of t and u(t − n) is the usual step function.
Problem 8.1: Compute the LTs of the following three unrelated functions: ∞ fi(t) = [(-1)¹u(t− n) n=0 where u(tn) is the usual step function. ∞ f₂(t) = [u(t-n) n=0 f3(t) = t - [t] where t > 0 and [t] is the floor function of t and u(t − n) is the usual step function.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Problem 8.1: Compute the LTs of the following three unrelated functions:
∞
f₁(t) = Σ(-1
n=0
where u(t − n) is the usual step function.
(−1)nu(t − n)
∞
f₂ (t) = [u(t − n)
n=0
f3(t) = t - [t]
where t > 0 and [t] is the floor function of t and u(t − n) is the usual step function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fece3d40f-e8f0-464a-aada-c18e494e1994%2Fa7eb385b-9eb6-4ed2-8dea-58c6fe57cf3f%2Fcg51m2k_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 8.1: Compute the LTs of the following three unrelated functions:
∞
f₁(t) = Σ(-1
n=0
where u(t − n) is the usual step function.
(−1)nu(t − n)
∞
f₂ (t) = [u(t − n)
n=0
f3(t) = t - [t]
where t > 0 and [t] is the floor function of t and u(t − n) is the usual step function.
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