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3. Signal Processing (Continuous to Discrete) · Concept 8 of 11

Impulse Response

It is the recording of how something reacts to one tiny instant click, which captures its whole sonic character.

Impulse Response: one click in, full fingerprint out 1. INPUT: one instant spike (Dirac click) amplitude 1, ~0 ms wide 2. SYSTEM (a hall / amp / device) empty hall reflections + decay 3. OUTPUT = the Impulse Response time -> level direct decaying tail (RT60) 4. USE IT: dry signal * IR = signal inside that space DRY input * convolve IR file (.wav) ~1 KB fingerprint = WET output: dry sound, now in the hall tail + reflections added = real-room sound Sound = 343 m/s • RT60 = time to decay 60 dB (a million-to-one) • one click tests 20 Hz to 20 kHz at once

One spike goes in, the decaying tail that comes back is the system's full fingerprint, and convolving any dry signal with that IR drops it into the same space.

What it is

A recording of how a space or device responds to one instant click, capturing its entire sonic character in a single file.

Key facts

How it works

  1. Send ONE short broadband spike into the system: clap, balloon pop, or starter pistol.
  2. Record what comes back at the mic: the direct hit, then early reflections, then the decaying tail.
  3. That whole captured tail IS the impulse response, the system's fingerprint.
  4. To apply it, convolve your dry signal with the IR (multiply spectra, then inverse-transform).
  5. Load the IR file into a convolution reverb or cab sim and the dry sound inherits the captured space/amp.

Real examples

How it helps in live sound

Everyday analogy

It's like clapping once in an empty church and the echo that comes back is a complete sonic fingerprint of that church, bottled so you can drop any sound into it later.

Watch out

Myth: an IR is just an EQ curve. Truth: it captures the FULL time-and-frequency behaviour (reflections, decay, phase), not just tone, which is why a 2 s reverb IR sounds nothing like a static EQ.

Fun fact

A single broadband click contains every frequency at once, so one clap tests the entire 20 Hz to 20 kHz audio band simultaneously, which is exactly why it can fingerprint a whole hall in one shot.

Key takeaways

  • One spike in = the system's complete fingerprint out.
  • An LTI system is fully defined by its impulse response.
  • Convolving a dry signal with an IR transplants that space or amp onto it.
  • RT60 (the 60 dB decay time) is the headline number an IR encodes.
  • Tiny file, huge effect: a sub-1 KB cab IR can transform a tone.
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