statement of Furious theorem
Answers
Answer:
A mathematical theorem stating that a periodic function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which has specific amplitude and phase coefficients known as Fourier coefficients.
Explanation:
The application of this theorem to sound is known as Fourier analysis and Fourier synthesis. The theorem was developed by the French mathematician J.B. Fourier around 1800.
Answer:
Hey buddy....
Fundamental to the analysis of any musical tone is the spectral analysis, or Fourier analysis, of a steady-state wave. According to the Fourier theorem, a steady-state wave is composed of a series of sinusoidal components whose frequencies are those of the fundamental and its harmonics, each component having the proper amplitude and phase. The sequence of components that form this complex wave is called its spectrum.The synthesis of a complex wave from its spectral components is illustrated by the sawtooth wave in Figure 9. The wave to be synthesized is shown by the graph at the upper middle, with its fundamental to the left and right. Adding the second through fourth harmonics, as shown on the left below the fundamental, results in the sawtooth shapes shown on the right.
The synthesis of a complex wave from its spectral components is illustrated by the sawtooth wave. The wave to be synthesized is shown by the graph at the upper middle, with its fundamental to the left and right. Adding the second through fourth harmonics, as shown on the left below the fundamental, results in the sawtooth shapes shown on the right.
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