Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
_s) Express the following signal, which represents a composite EEG signal reflecting brain wave activity, in terms of a single sinusoidal function: y(t) = 3 sin(400лt +л/6)+2 cos(400лt - л/4) To do this, use the following: y₁(t) = A₁ sin(wt +0₁), y₂(t) = A₂ cos(wt + 02) and y³(t) = y₁(t) + y2(t) = A3 cos(wt + 03) where: A¸ = [A² + A² + 2A₁A₂ sin(0₁ − 0₂)]¹1/2 and 03 = tan-1 [-A₁ cos 0₁ + A₂ sin 02] A₁ sin 01 + A2 cos 02 (s) Now, confirm your answer by plotting y(t) using MATLAB. Plot y(t) over a period using a sampling Irequency of 100 kHz. Determine the amplitude and phase from the plot, and compare these with the results from part (a). You can determine the phase as follows: A cosine function with zero phase (0 = 0) reaches its maximum amplitude at t = 0. To calculate the phase, find the time (starting at t = = 0) at which the signal first reaches its maximum amplitude. Convert this time to radians and compare with the result 03 from part (a).

_s) Express the following signal, which represents a composite EEG signal reflecting brain wave activity, in terms of a single sinusoidal function: y(t) = 3 sin(400лt +л/6)+2 cos(400лt - л/4) To do this, use the following: y₁(t) = A₁ sin(wt +0₁), y₂(t) = A₂ cos(wt + 02) and y³(t) = y₁(t) + y2(t) = A3 cos(wt + 03) where: A¸ = [A² + A² + 2A₁A₂ sin(0₁ − 0₂)]¹1/2 and 03 = tan-1 [-A₁ cos 0₁ + A₂ sin 02] A₁ sin 01 + A2 cos 02 (s) Now, confirm your answer by plotting y(t) using MATLAB. Plot y(t) over a period using a sampling Irequency of 100 kHz. Determine the amplitude and phase from the plot, and compare these with the results from part (a). You can determine the phase as follows: A cosine function with zero phase (0 = 0) reaches its maximum amplitude at t = 0. To calculate the phase, find the time (starting at t = = 0) at which the signal first reaches its maximum amplitude. Convert this time to radians and compare with the result 03 from part (a).

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...
See similar textbooks
icon
Related questions
Question
_s) Express the following signal, which represents a composite EEG signal reflecting brain wave activity, in terms of a single sinusoidal function: y(t) = 3 sin(400лt +л/6)+2 cos(400лt - л/4) To do this, use the following: y₁(t) = A₁ sin(wt +0₁), y₂(t) = A₂ cos(wt + 02) and y³(t) = y₁(t) + y2(t) = A3 cos(wt + 03) where: A¸ = [A² + A² + 2A₁A₂ sin(0₁ − 0₂)]¹1/2 and 03 = tan-1 [-A₁ cos 0₁ + A₂ sin 02] A₁ sin 01 + A2 cos 02 (s) Now, confirm your answer by plotting y(t) using MATLAB. Plot y(t) over a period using a sampling Irequency of 100 kHz. Determine the amplitude and phase from the plot, and compare these with the results from part (a). You can determine the phase as follows: A cosine function with zero phase (0 = 0) reaches its maximum amplitude at t = 0. To calculate the phase, find the time (starting at t = = 0) at which the signal first reaches its maximum amplitude. Convert this time to radians and compare with the result 03 from part (a).
Transcribed Image Text:_s) Express the following signal, which represents a composite EEG signal reflecting brain wave activity, in terms of a single sinusoidal function: y(t) = 3 sin(400лt +л/6)+2 cos(400лt - л/4) To do this, use the following: y₁(t) = A₁ sin(wt +0₁), y₂(t) = A₂ cos(wt + 02) and y³(t) = y₁(t) + y2(t) = A3 cos(wt + 03) where: A¸ = [A² + A² + 2A₁A₂ sin(0₁ − 0₂)]¹1/2 and 03 = tan-1 [-A₁ cos 0₁ + A₂ sin 02] A₁ sin 01 + A2 cos 02 (s) Now, confirm your answer by plotting y(t) using MATLAB. Plot y(t) over a period using a sampling Irequency of 100 kHz. Determine the amplitude and phase from the plot, and compare these with the results from part (a). You can determine the phase as follows: A cosine function with zero phase (0 = 0) reaches its maximum amplitude at t = 0. To calculate the phase, find the time (starting at t = = 0) at which the signal first reaches its maximum amplitude. Convert this time to radians and compare with the result 03 from part (a).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS