Books on Phase and Amplitude of a sine wave

Click For Summary
SUMMARY

The discussion focuses on the search for literature specifically addressing the decomposition of a sine wave into its three parameters: phase, frequency, and amplitude. Participants highlight the difficulty in finding reliable, citable sources beyond general websites. Notable references include Wikipedia articles on sine waves and phase in waves, which provide foundational theorems necessary for understanding the topic. The discussion emphasizes the importance of theoretical knowledge over extensive reading.

PREREQUISITES
  • Understanding of sine wave properties
  • Familiarity with wave phase and frequency concepts
  • Knowledge of trigonometric identities, specifically the sine and cosine addition formulas
  • Ability to evaluate and cite academic sources
NEXT STEPS
  • Research advanced texts on wave mechanics and their mathematical foundations
  • Explore the application of Fourier analysis in wave decomposition
  • Study the implications of phase shifts in signal processing
  • Investigate academic journals for peer-reviewed articles on sine wave analysis
USEFUL FOR

Students, researchers, and professionals in physics, engineering, and signal processing who require a deeper understanding of sine wave characteristics and their mathematical representations.

CupOfAppleTea
Messages
1
Reaction score
0
Hi!
I am searching for litterature on the decomposition of a sine wave in its three parameters: phase, frequency and amplitude. I just need it to justify an analysis that I am doing this way and it appears to be hard to find such a book. I find many website but nothing I can cite seriously!
Thanks!
 
Physics news on Phys.org
This is not so difficult. Just try it yourself! The effort is worth more than reading a lot of books! You just need the theorems
$$\sin(\alpha+\beta)=\sin \alpha \cos \beta + \sin \beta \cos \alpha, \quad \cos(\alpha+\beta)=\cos \alpha \cos \beta-\sin \alpha \sin \beta.$$
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
6K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 34 ·
2
Replies
34
Views
4K
  • · Replies 78 ·
3
Replies
78
Views
7K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 14 ·
Replies
14
Views
6K
Replies
16
Views
3K