Mastering Signal Functions: Expert Answers to Your Questions

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The discussion centers on mastering signal functions, specifically regarding the representation of sine waves in both time and frequency domains. Participants confirm that the height of the delta function in the frequency domain corresponds to the amplitude of the sine wave, while its position relates to frequency, with smaller periods indicating higher frequencies. There is a request for clarification on specific transformations of functions, including f(t-2), f(2-t), f(-t), and -f(t). Additionally, a participant seeks visual aids to better understand the concepts and asks about the process of adding and multiplying functions. Overall, the conversation emphasizes the importance of accurately representing signal functions and their transformations.
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Hi, Just got some question with some function.. which I'm not really sure about the answer!

Question as below

1-1.jpg


My answer for Question 1
3-2.jpg

Is that the right way to present the signal?


My answer for Question 2

For f(t-2)
ft-2.jpg


For f(2-t)
f2-t.jpg


For f(-t)
f-t.jpg


For -f(t) [Not really sure about this] Am I do it correctly?
-ft.jpg
 
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A sine wave in the time domain has a delta function representation in the frequency domain. The height of the delta function is related to the amplitude of the sine wave; the position along the frequency axis is related to the frequency of the sine wave. Obviously, smaller period implies higher frequency.

The answers to question 2 appear to be correct.

- Warren
 
chroot said:
A sine wave in the time domain has a delta function representation in the frequency domain. The height of the delta function is related to the amplitude of the sine wave; the position along the frequency axis is related to the frequency of the sine wave. Obviously, smaller period implies higher frequency.

The answers to question 2 appear to be correct.

- Warren


Am I doing it wrongly?? Since the amplitudes are given as 0.5 for part a) and part c) and 1 for part b).. That's why I just wrote them on the frequency domain.
Is that any possible way for you to show me something in picture?? Thank Alot for your help.. Appreciated
 
Anyone here know how to add and multiply two function together??

Question Part1
1-1.jpg

Question Part2
2-1.jpg
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

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