conv
conv(u,v)
Convolution of two vectors. Uses FFT algorithm.
Examples
In the Julia programming language, the function conv(u, v)
is used to perform the convolution of two vectors u
and v
. It utilizes the Fast Fourier Transform (FFT) algorithm for efficient computation.
julia> conv([1, 2, 3], [4, 5, 6])
5element Array{Int64,1}:
4
13
28
27
18
Here are some common examples of using the conv
function:

Convolution of two audio signals:
julia> signal1 = [0.2, 0.5, 0.8, 0.2, 0.3]; julia> signal2 = [0.1, 0.3, 0.5]; julia> conv(signal1, signal2) 7element Array{Float64,1}: 0.02 0.09 0.23 0.38 0.51 0.41 0.24
This example shows the convolution of two audio signals represented as arrays.
 Applying a filter to a time series:
julia> timeSeries = [10, 20, 30, 40, 50]; julia> filter = [0.5, 0.25, 0.1]; julia> conv(timeSeries, filter) 7element Array{Float64,1}: 5.0 8.75 12.5 15.25 18.0 13.0 5.0
This example demonstrates the application of a filter to a time series using convolution.
Common mistake example:
julia> conv([1, 2, 3], [4, 5])
ERROR: DimensionMismatch("vectors must have same length")
In this example, the vectors u
and v
provided to conv
have different lengths, resulting in a DimensionMismatch
error. Ensure that the input vectors have the same length before using the conv
function.
See Also
User Contributed Notes
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