Acyclic Convolution in Matlab or Octave

In Matlab or Octave, the conv function implements acyclic convolution:

octave:1> conv([1 2],[3 4])
ans =
   3  10   8

Note that it returns an output vector which is long enough to accommodate the entire result of the convolution, unlike the filter primitive, which always returns an output signal equal in length to the input signal:

octave:2> filter([1 2],1,[3 4])
ans =
   3  10
octave:3> filter([1 2],1,[3 4 0])
ans =
   3  10   8

---

Order a Hardcopy of Spectral Audio Signal Processing

Previous: Acyclic FFT Convolution
Next: Pictorial View of Acyclic Convolution

---

written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.