You have just started a new job at Muppetlabs, Inc. Your boss, Dr. Bunsen B. Honeydew, has asked you to generate a signal s(t) with the spectrum shown below: 3 1.0 2.0 1.0 2.0 1.0 1.0 L -100-90-80-70-60-50-40-30-20-10 0 10 20 30 40 50 60 70 80 90 100 Frequency (Hz) The equipment you've been given allows you to multiply cosine waves together to generate the desired signal, i.e., s(t) = A₁ cos(2π(f₁)t) A2 cos(2π (f2)t) A3 cos(2π (f3)t) 44 cos(2π(f4)t)... You can set the amplitudes A1, A2, A3, etc. to arbitrary values. The frequencies fi, f2, f3, etc. must be one of the following predetermined values: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150 i.e., the frequency must be a multiple of 10 between 10 Hz and 150 Hz. Determine how many cosines you need to generate the signal s(t). Determine the amplitudes and frequencies of those cosines. Pro- vide a justification that will convince Dr. Honeydew that your method generates a signal s(t) with the appropriate spectrum. Your justification should include the calculations/equations you used to verify that s(t) has the correct spectrum.

You have just started a new job at Muppetlabs, Inc. Your boss, Dr. Bunsen B. Honeydew, has asked you to generate a signal s(t) with the spectrum shown below: 3 1.0 2.0 1.0 2.0 1.0 1.0 L -100-90-80-70-60-50-40-30-20-10 0 10 20 30 40 50 60 70 80 90 100 Frequency (Hz) The equipment you've been given allows you to multiply cosine waves together to generate the desired signal, i.e., s(t) = A₁ cos(2π(f₁)t) A2 cos(2π (f2)t) A3 cos(2π (f3)t) 44 cos(2π(f4)t)... You can set the amplitudes A1, A2, A3, etc. to arbitrary values. The frequencies fi, f2, f3, etc. must be one of the following predetermined values: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150 i.e., the frequency must be a multiple of 10 between 10 Hz and 150 Hz. Determine how many cosines you need to generate the signal s(t). Determine the amplitudes and frequencies of those cosines. Pro- vide a justification that will convince Dr. Honeydew that your method generates a signal s(t) with the appropriate spectrum. Your justification should include the calculations/equations you used to verify that s(t) has the correct spectrum.

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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