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An electrical control signal can be described using the function as 3, 0≤t<1 f(t)=4-t, 1≤t<4 (a) 0, t≥4 (i) Sketch the signal variation with time. (i) Show that the signal can be expressed as f(t)=3U(t)-(t-1)U(t-1)+(t-4)U(t-4) where U(t), U(t − 1) and U(t-4) are unit step functions. (iii) Determine £{f(t)}.

An electrical control signal can be described using the function as 3, 0≤t<1 f(t)=4-t, 1≤t<4 (a) 0, t≥4 (i) Sketch the signal variation with time. (i) Show that the signal can be expressed as f(t)=3U(t)-(t-1)U(t-1)+(t-4)U(t-4) where U(t), U(t − 1) and U(t-4) are unit step functions. (iii) Determine £{f(t)}.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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An electrical control signal can be described using the function as 3, 0≤t<1 f(t)=4-t, 1≤t<4 (a) 0, t≥4 (i) Sketch the signal variation with time. (i) Show that the signal can be expressed as f(t)=3U(t)-(t-1)U(t-1)+(t-4)U(t-4) where U(t), U(t − 1) and U(t-4) are unit step functions. (iii) Determine £{f(t)}.
Transcribed Image Text:An electrical control signal can be described using the function as 3, 0≤t<1 f(t)=4-t, 1≤t<4 (a) 0, t≥4 (i) Sketch the signal variation with time. (i) Show that the signal can be expressed as f(t)=3U(t)-(t-1)U(t-1)+(t-4)U(t-4) where U(t), U(t − 1) and U(t-4) are unit step functions. (iii) Determine £{f(t)}.
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