Chapter4 Synthesis and Analysis of Complex Waves Fourier
- Slides: 18
Chapter-4 Synthesis and Analysis of Complex Waves Fourier Synthesis: The process of combining harmonics to form a complex wave. Fourier Analysis: Determining the harmonic content of a complex wave.
Synthesis of Complex Waves http: //www. phy. ntnu. edu. tw/ntnujava/index. php? topic=17
Synthesis of Complex Waves http: //www. phy. ntnu. edu. tw/ntnujava/index. php? topic=17
Synthesis of Complex Waves http: //www. phy. ntnu. edu. tw/ntnujava/index. php? topic=17
Summary The shape of the complex wave is determined by: (1) the number and relative amplitudes of the component harmonics. (2) the phases of the higher harmonics, relative to the fundamental. The tone quality or timbre is affected by moderate changes in the amplitude of the higher harmonic but is hardly affected at all by rather large changes in the relative phases of the two harmonics.
Fourier Synthesis of a Triangular Wave
Fourier Synthesis of a Square Wave
Fourier Synthesis of a Sawtooth Wave
Fourier Synthesis of a Pulse Train
Harmonic Amplitudes for Sine, Triangle, Square, Sawtooth, and Pulse http: //www. phy. ntnu. edu. tw/ntnujava/index. php? topic=17
Periodicity and Fundamental
4. 2 Fourier Analysis and Fourier Spectra Since the tone quality of a complex wave is determined primarily by the amplitudes of the harmonics, it is useful to display the harmonic content graphically. Fourier spectrum displays the harmonic content of complex waves.
Fourier Spectra
Fourier Spectra
Wave form and Fourier spectrum of the note C 5 = 523. 25 Hz, played on an alto recorder
Wave form and Fourier spectrum of the note B 3 b = 233. 08 Hz, played on a clarinet
Wave form and Fourier spectrum of the note B 4 = 493. 88 Hz, played on a violin
Wave form and Fourier spectrum of the note G 3 = 196. 00 Hz, played on a tenor krummhorn
- Fourier transform complex analysis
- Complex waves
- Compare and contrast p waves and s waves using venn diagram
- Difference between mechanical and electromagnetic waves
- Venn diagram mechanical and electromagnetic waves
- How are rainbows made
- Long waves and short waves
- Mechanical waves and electromagnetic waves similarities
- Similarities of mechanical and electromagnetic waves
- Surface waves and body waves
- Mechanical and electromagnetic waves venn diagram
- Constructive waves and destructive waves difference
- Synthesis equation fourier series
- Sound waves are transverse waves true or false
- Characteristics of a longitudinal wave
- Sound is a longitudinal wave
- Electromagnetic waves vs mechanical waves
- Is a seismic wave mechanical or electromagnetic
- Complex fourier series