100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
Fourier Transform Test 1 Questions with Correct Answers CA$17.83   Add to cart
Quickly navigate to
Preview
  2.  
  3. Fourier Transform
  4.  
  5. Fourier Transform

Exam (elaborations)

Fourier Transform Test 1 Questions with Correct Answers

 5 views  0 purchase
  • Course
  • Fourier Transform
  • Institution
  • Fourier Transform

Fourier Transform Test 1 Questions with Correct Answers Why doesn't the normalisation vectors apply to the DC-component (values at t=0)? - Answer-Because the DC component don't have a negative counterpart. It's the average value of all data points. How does amplitude in time and frequency doma...

[Show more]

Preview 1 out of 4  pages

Document information

  • August 14, 2024
  • 4
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

Subjects

  • fourier transform
  • fourier transform test 1 questions

Written for

  • Fourier Transform
  • Fourier Transform

Seller

avatar-seller
Perfectscorer

Reviews received

Content preview

Fourier Transform Test 1 Questions with
Correct Answers

Why doesn't the normalisation vectors apply to the DC-component (values at t=0)? -
Answer-Because the DC component don't have a negative counterpart. It's the average
value of all data points.

How does amplitude in time and frequency domain differ? - Answer-The amplitude is
the length of the complex vector in frequency, hence it cannot be negative.
Amplitude in time-domain, however, indicates direction in addition to magnitude and can
therefore be negative.

How do the Fourier transform work, mathematically? - Answer-it loops through the
different timepoints (corresponding to the length of the signal). Where the time point is
the only variable in a complex exponential. This complex exponential gets point-wise
multiplied with the signal and added together which will give the Fourier coefficients.
This syntax then gets repeated for the remainder of iterations in the loop.

How do the invers Fourier transfer work, mathematically? - Answer-The same as
regular Fourier transform but with a sign flip in the complex exponential which will
cancel out the "i*sin" component.

What's the fast Fourier transform? (FFT) - Answer-The same as fourier transform but
the computations are done with vector algebra instead of point-wise multiplication which
is SUPER DUPER faster.

What's the frequency resolution? - Answer-how well the signal is represented. sampling
rate divided by data points. The higher amount of data points the better the resolution.

What's zero padding? (*förklara bättre*) - Answer-Data points of zeroes added to the
end of a signal which increases the sampling length and thus will increase the sinc-
interpretation i.e the resolution.
Note that the normalisation factor should be of the original length and NOT the added
zero-padded length.

What does the sample frequency determine? - Answer-it determines the span of
frequencies that can be evaluated. This span corresponds to the nyquist frequency
(f_samp /2) at best.

What does the amount of data points correspond to when sampling? - Answer-the
duration of the sampling which solely will increase the frequency resolution greatly.

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller Perfectscorer. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for CA$17.83. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

73918 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
CA$17.83
  • (0)
  Add to cart