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4. Digital Audio Theory · Concept 6 of 8

Sample Rate Conversion

It is changing a recording from one snapshot speed to another, like 48,000 down to 44,100 per second.

Sample Rate Conversion — 48 kHz → 44.1 kHz same wave, recomputed at new snapshot spacing (pitch & length unchanged) SOURCE 48,000 samples/sec wide spacing = fewer snapshots SRC ENGINE sinc interpolation + low-pass filter @ 22.05 kHz ratio 147:160 TARGET 44,100 samples/sec tighter spacing = NEW in-between values computed Nyquist drops 24 kHz → 22.05 kHz: filter FIRST, or aliasing adds harshness

48 kHz to 44.1 kHz: the SRC engine rebuilds the wave and recomputes new samples at tighter spacing, same pitch and length.

What it is

Resampling a recording from one sample rate to another (e.g. 48 kHz down to 44.1 kHz) by recalculating new sample values.

Key facts

How it works

  1. Pick source rate and target rate (e.g. 48,000 to 44,100 samples/sec).
  2. Compute the ratio between them (44100/48000 = 0.91875).
  3. Mathematically rebuild the smooth original waveform from existing samples using sinc interpolation.
  4. Apply a steep low-pass filter just under the new Nyquist to block aliasing.
  5. Read off brand-new sample values at the new spacing in time.
  6. Export the file at the new rate, same pitch and length as the original.

Real examples

How it helps in live sound

Everyday analogy

Like redrawing a flipbook at a new frame rate: you recompute the in-between drawings so the motion stays smooth instead of just dropping or duplicating pages.

Watch out

Myth: 'just change the rate field and it's done.' Truth: that's renaming, not converting; real SRC recalculates every sample with a filter, and skipping it shifts pitch/speed or adds aliasing harshness.

Fun fact

44.1 kHz exists because early digital audio was stored on video tape: it's the number that fit neatly into both PAL and NTSC video timing in the late 1970s.

Key takeaways

  • Sample rate = snapshots per second; 44.1 kHz (CD) vs 48 kHz (video) are the two big ones.
  • Nyquist = rate/2 sets the highest frequency you can store; downsampling lowers that ceiling.
  • Good SRC = rebuild waveform + steep low-pass filter; bad SRC = aliasing harshness.
  • SRC keeps pitch and length the same; it is not time-stretch or pitch-shift.
  • Live: lock the whole rig to one rate (48 kHz) and pre-convert any odd files offline.
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