The output of a linear system is y(t)=In(kt+1) to the input signals of the form a“ (a>1, k are constants). Answer the following: i. Find the output for x(t) = T + 6(2ª)– 4(3*').(Hint: Express 2 and 3 as exponents of a!) ii. Show that the output of the system is identically zero to a constant input. iii. Is this system a LTI system? Why or why not?
The output of a linear system is y(t)=In(kt+1) to the input signals of the form a“ (a>1, k are constants). Answer the following: i. Find the output for x(t) = T + 6(2ª)– 4(3*').(Hint: Express 2 and 3 as exponents of a!) ii. Show that the output of the system is identically zero to a constant input. iii. Is this system a LTI system? Why or why not?
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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![The output of a linear system is y(t)=In(kt+1) to the input signals of the form a“ (a>1,
k are constants). Answer the following:
i. Find the output for x(t) = T + 6(2ª)– 4(3*').(Hint: Express 2 and 3 as
exponents of a!)
ii. Show that the output of the system is identically zero to a constant
input.
iii. Is this system a LTI system? Why or why not?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9596834-cb02-411b-a7a2-b636b31783cd%2F4dd31d72-b785-4c24-82fc-ef498191449e%2Fpaw8i4j_processed.png&w=3840&q=75)
Transcribed Image Text:The output of a linear system is y(t)=In(kt+1) to the input signals of the form a“ (a>1,
k are constants). Answer the following:
i. Find the output for x(t) = T + 6(2ª)– 4(3*').(Hint: Express 2 and 3 as
exponents of a!)
ii. Show that the output of the system is identically zero to a constant
input.
iii. Is this system a LTI system? Why or why not?
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