Audio Signal Processing


What is audio signal processing?

  • Applications: storage, data compression, effects and transformations, synthesis, description.
  • Intentional alteration of sound

Some basic mathematics

Sinusoidal functions (正弦函数)

x [n]=Acos(ωnT +ϕ)=Acos(2 π f nT +ϕ)

  • A:amplitude (振幅)
  • ω: angular frequency in radians/seconds
  • f =ω/2 π:frequency in Hertz (cycles/seconds)
  • ϕ:initial phase in radians
  • n: time index
  • T =1/ fs:sampling period in seconds(t=nT =n/ fs)