conv

Discrete convolution.

Syntax

w = conv(u, v)
w = conv(u, v, shape)

Description

Returns the discrete convolution of vectors u and v — the linear combination of shifted, scaled copies. Result length is length(u) + length(v) - 1 for shape = 'full' (default).

The shape argument controls the output size:

• 'full' — entire convolution (default)
• 'same' — center section, same length as u
• 'valid' — only points where the kernel fully overlaps u

When the first argument is a graph handle, returns the convolution of the graph’s data points (used in chart-context analysis).

Examples

conv([1 1 1], [1 2 3])       % [1 3 6 5 3]
conv([1 1 1], [1 2 3], 'same')   % [3 6 5]
conv([1 0 0 0 0], [0.5 0.5])     % impulse → 2-tap moving average

See also

• filter — 1D digital filter (IIR / FIR).
• fft — 1D Fast Fourier Transform.