question 4. For each of the f0 frequencies in Problem 3(c), construct a sinusoidal signal that...

50.1K

Verified Solution

Question

Electrical Engineering

question 4. For each of the f0 frequencies in Problem 3(c),construct a sinusoidal signal that is turned on at t = 0 andsampled at 100,000/ 2? Hz over the interval ?0.5 ? t ? 0.5 . Again,using Matlabâ€™s convolution command, determine the amplitude andphase (relative to the input) of the response of the filter.Ignoring edges of output that are subject to numerical artifacts.Compare and contrast your answers to those obtained in Problem3(c).
previous question #3
3. Suppose the transfer function of a low-pass filter withfrequency specified in cyclic frequency f is given by H ( f ) =100/ (100 +i2? f ):
a. Manually find and sketch the amplitude and phase spectra (onregular, non-log scale) of the transfer function.
b. If the input to the filter is x(t) = Acos (2? f0t), derivethe general expression of the output. (Hint: use Fourierconvolution theorem.)
c. Find the specific expressions for the outputs for f0 = 10/ 2?, 100/ 2? , 1,000/ 2? , and 10,000/ 2? Hz. (You may use acalculator or Matlab for the computation.)

Answer & Explanation Solved by verified expert

3.9 Ratings (666 Votes)

matlabcodeclcclose allclear allfs21000002piTs1fstTsTs05A1h100exp100tf0102pix1Acos10ty1convx1hy1fffty1y1magabsy1fy1phaseangley1ffigureploty1magtitleproblem 3 magnitude response for f010ylabelamplitudexlabelfrequencyfiguretitleproblem 3 magnitude See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member