Mastering Signal Functions: Expert Answers to Your Questions

  • Thread starter Thread starter kevin_obl
  • Start date Start date
AI Thread Summary
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.
kevin_obl
Messages
4
Reaction score
0
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
 
Mathematics news on Phys.org
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
 
Thread 'Video on imaginary numbers and some queries'
Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
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...
Thread 'Unit Circle Double Angle Derivations'
Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...

Similar threads

Back
Top