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4. Step function can be used to define a window function. Thus u(t-1)- u(t-4) defines window 1 unit high and 3 units wide located on the time axis between 1 and 4. A function f(t) is defined as follows: f(t)=0 = -20t, for t≤ 0; for 0 ≤ t ≤ 1s; for 1s ≤ t ≤ 2s; for 2s ≤ t ≤ 4s; for 4s ≤ t ≤ 5s; for 5s ≤ t ≤00. = -20, = 2cost = 100-2t = 0 (a) Sketch f(t) over the interval 0 ≤ t ≤ 60s. (b) Use the concept of the window function to write an expression for f(t).

4. Step function can be used to define a window function. Thus u(t-1)- u(t-4) defines window 1 unit high and 3 units wide located on the time axis between 1 and 4. A function f(t) is defined as follows: f(t)=0 = -20t, for t≤ 0; for 0 ≤ t ≤ 1s; for 1s ≤ t ≤ 2s; for 2s ≤ t ≤ 4s; for 4s ≤ t ≤ 5s; for 5s ≤ t ≤00. = -20, = 2cost = 100-2t = 0 (a) Sketch f(t) over the interval 0 ≤ t ≤ 60s. (b) Use the concept of the window function to write an expression for 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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4. Step function can be used to define a window function. Thus u(t-1)- u(t-4) defines window 1 unit high and 3 units wide located on the time axis between 1 and 4. A function f(t) is defined as follows: f(t)=0 = -20t, for t ≤ 0; for 0 ≤ t ≤ 1s; for 1s ≤ t ≤ 2s; = 2cost for 2s ≤ t ≤ 4s; = 100-2t for 4s ≤ t ≤ 5s; for 5s ≤t≤ 00. = -20, = 0 (a) Sketch f(t) over the interval 0 ≤ t ≤ 60s. (b) Use the concept of the window function to write an expression for f(t)
Transcribed Image Text:4. Step function can be used to define a window function. Thus u(t-1)- u(t-4) defines window 1 unit high and 3 units wide located on the time axis between 1 and 4. A function f(t) is defined as follows: f(t)=0 = -20t, for t ≤ 0; for 0 ≤ t ≤ 1s; for 1s ≤ t ≤ 2s; = 2cost for 2s ≤ t ≤ 4s; = 100-2t for 4s ≤ t ≤ 5s; for 5s ≤t≤ 00. = -20, = 0 (a) Sketch f(t) over the interval 0 ≤ t ≤ 60s. (b) Use the concept of the window function to write an expression for f(t)
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