Practical Example

• To simulate the delay of a wave propagating $L=1$ meter, consider the following:
  • Sampling rate:
    $$f_s = 44100$$

  • Temporal sampling period:
    $$T = \frac{1}{44100}$$

  • Spatial sampling period (distance traveled in one sample assuming propagation speed of 340 m/s):
    $$X = cT = \frac{340}{44100} = 7.7$$mm

  • Number of samples delay:
    $$M = \frac{L}{X} = \frac{1}{cT} = \frac{1}{0.0077} = 130$$