![Sinusoids
Input(-¡Ø, +¡Ø) Output [1,-1]](https://image.slidesharecdn.com/fourieranalysispresentationforthunderchasers-200712203354/85/Fourier-analysis-presentation-for-thunder-chasers-3-320.jpg)
Fourier analysis presentation for thunder chasers
- 1. Fourier Analysis An Intuitive Perspective A Basic Introductory Discussion Portraying how Fourier Series or Transformation Play Around Us
- 2. Axial Breakdown v cosx v sinx v x
- 3. Sinusoids Input(-¡Ø, +¡Ø) Output [1,-1]
- 4. Fourier Series ? ? = ? ? ? + ?=? ¡Þ ? ? ??? ???? ? ? ? + ? ? ??? ???? ? ? ? ? ? = ? ? ? ? ? ? ? ? ?? ? ? = ? ? ? ? ? ? ? ? ??? ???? ? ? ? ?? ? ? = ? ? ? ? ? ? ? ? ??? ???? ? ? ? ?? ? ? = ? ? ? + ?=? ¡Þ ? ? ??? ??? + ? ? ??? ???
- 5. ? = ? ? = ? ? ? ?0 = 2 2? 0 2? ? ? ? ?? = 0 ? ? = 2 2? 0 2? ? ? ? sin( 2??? 2? )?? = ? 2 ? ? ? = 2 2? 0 2? ? ? ? cos( 2??? 2? )?? = 0 ? ? = ?? ?=? ¡Þ ? ? ??? ?? = ?? (??? ? + ? ? ??? ?? + ? ? ????? + ? . + ? ? ??? ?? ) = ?(?) Fourier Series Ch. VI : Non-Sinusoidal Wave Example-1 Alternating Current Circuits by RM Kerchner & GF Corcoran
- 6. Sawtooth Wave Transformed Credit :Meyavuz
- 8. Straight Line with Sinusoids Credit :Mathloger
- 9. Have a Look ! Credit :Faviloo
- 10. Fourier in Exponential Form ? ? = ? ? ? + ?=? ¡Þ ? ? ??? ??? + ? ? ??? ??? sin ??? = 1 2? (? ???? ? ??????) cos ??? = 1 2 (? ???? + ??????) ? ? = ? ?? ?¡Ø +¡Ø ?(?)????? ?? ? ? = ?0 2 + ?=1 ¡Þ ( ? ? ? ?? ? 2 ? ???? + ? ? + ?? ? 2 ??????) ? ? = ?=?¡Ø ¡Ø ? ? ? ????
- 11. Who cares about Fourier , huh ? Waves can be expressed as a sum of sines and cosines.
- 13. Who cares about Fourier , huh ? Shifting from Time Domain to Frequenc y Domain
- 14. Who cares about Fourier , huh ? Shifting from Time Domain to Frequenc y Domain
- 15. Frequency Domain Credit: RF Wireless World Credit: Pablo Puente Guillen
- 16. Applications Image Audio Filter Reconstruction Compression Compression Noise Exclusion Sound Synthesize
- 17. References & Resources https://www.quora.com/Why-are-Fourier-series- important-Are-there-any-real-life- applications-of-Fourier-series https://www.quora.com/What-are-the-applications -of-fourier-series-in-electrical-engineering https://en.wikipedia.org/wiki/Fourier_series https://www.youtube.com/watch?v=qS4H6PEcCCA Alternating Current Circuit by RM Kerchner & GF Corcoran Analysis of Linear Systems by D K Cheng https://www.youtube.com/watch?v=Mf8z3nm7prQ https://www.youtube.com/watch?v=wNwJOBmqBsc Special thanks to Aninda Nandy
- 18. T hank You Mohammad Iftekher Ebne Jalal (Iftu) ID : 1802119 Department of Electrical & Electronic Engineering, Chittagong University of Engineering & Technology I only intended to make you feel excited about Fourier Series. Feel free to learn more on this.