CSD313L_ComplexSound_narration

Fundamental frequency f0 the number of the cycles of

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Unformatted text preview: h n refers to the harmonic number. – Fundamental frequency: f0 - the number of the cycles of complex sound completed in second. sound – Harmonic frequency: f1 = 1* f0, f2 = 2* f0, f3 = 3* f0 …fn = n* f0, – For harmonic n, dn = An * sin(2*π*fn*t + Φn) *t Thus for a complex sound, its math formula is: = – d = d1 + d2 + d3 + … + dn A1*sin(2*π* f0 *t + Φ1) + A2*sin(2*π*2*f0*t + Φ2) + A3*sin(2*π*3*f0*t + *t *t Φ3) + … + An*sin(2*π*n*f0*t + Φn) *t Waveform and Spectrum Waveform Sawtooth Wave (I) Sawtooth Fundamental frequency – f0 = 1/T = 1 / 8ms = 125 Hz Harmonic frequency – f1 = 1* f0 = 1*125 Hz = 125 Hz 1* – f2 = 2* f0 = 2*125 Hz = 250 Hz 2* – f3 = 3* f0 = 3*125 Hz = 375 Hz 3* – fn = n* f0 = n*125 Hz n* Harmonic amplitude – A1 = A1 – A2 = A1 / 2 – A3 = A1 / 3 Harmonic phase – Φ1 = π/2 – Φ2 = π/2 – Φ3 = π/2 – Φn = π/2 Sawtooth Wave (II) Sawtooth Square Wave (I) Square Fundamental frequency – f0 = 1/T = 1 / 8ms = 125 Hz 8 ms 16 ms...
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This note was uploaded on 02/01/2014 for the course CSD 313L taught by Professor Liu during the Summer '08 term at University of Texas.

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