Fourier Series/ transform demonstration

AI Thread Summary
The discussion revolves around the confusion regarding the notation used in Fourier Series and transforms, specifically the differences between X(jw), X[e^jw], X(w), and X(f). The user seeks clarification on why different classes employ varying notations and what implications these changes have on understanding continuous and discrete signals. There is an emphasis on the importance of grasping these concepts to facilitate a deeper understanding of related topics like Laplace and Z transforms. The user expresses a willingness to engage with complex mathematics to achieve clarity. Understanding these notations is seen as crucial for mastering signal processing concepts.
MrAlbot
Messages
12
Reaction score
0
Hey guys!

if anyone can help me I guess it is you! :)

I'm trying to find the Fourier Series demonstration to continuous and periodic functions.

I don't understand why people keep using X(jw) and X[e^jw] and even sometimes X(w) and X(f)

If anyone can help me I'm really not understanding that!

Best regards

Peter
 
Last edited:
Mathematics news on Phys.org
I'm trying to understand why in my Signals and Systems they use X(jw) (and X[e^jw] in disrete signals) and in my telecomunications class they use X(f) and what does it change, and why can they change that. I have no problem going into deep mathematics if that means understanding it. I feel like only after understanding this Fourier series/transform Laplace and Z transform will make sense in my head and I'll be able to sleep at night if I get this right into my head. ^^

Thanks again.
 
Last edited:
Thread 'Video on imaginary numbers and some queries'

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...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

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...
View full post »
Thread 'Unit Circle Double Angle Derivations'

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...
View full post »

Similar threads

A Can You Prove the Series Is Periodic?
Replies
33
Views
3K
I What does it mean when an integral is evaluated over a single limit?
Replies
23
Views
5K
How are Fourier Series and Fourier transform are related?
Replies
1
Views
1K
MHB Fourier Series involving Hyperbolic Functions
Replies
9
Views
4K
A few questions to make sure I understand Fourier series
Replies
3
Views
2K
What Are the Differences Between Various Fourier Transformations?
Replies
10
Views
3K
A Polar Fourier transform of derivatives
Replies
4
Views
3K
I Interpretation of the Fourier Transform of a Cauchy Distribution
Replies
4
Views
3K
Fourier series and the shifting property of Fourier transform
Replies
6
Views
1K
How Does Fourier Math Apply to Image Processing?
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top