2.70 Linear convolution of 2 sequences

Problem: Given 2 sequences \(x_{1}[n]\) and \(x_{2}[m]\), determine the linear convolution of the 2 sequences. Assume \(x_{1}=[1,2,3,4,5]\) and \(x_{2}=[3,4,5]\).

Mathematica Clear ["Global`*"] x1 = {1, 2, 3, 4, 5}; x2 = {4, 5, 6}; ListConvolve[x2, x1, {1, -1}, 0]

{4, 13, 28, 43, 58, 49, 30}

 

Matlab clear all; close all; x1=[1 2 3 4 5]; x2=[4 5 6]; conv(x2,x1)

4 13 28 43 58 49 30

 

Maple In Maple, had to convert lists to Array first to use Convolution. This is not good. The function should have accepted lists also. Maple 2021. x1 := [1, 2, 3, 4, 5]; x2 := [4, 5, 6]; #note, need to convert list to Array. Why? SignalProcessing:-Convolution(convert(x1,Array),convert(x2,Array))

\[ \left [\begin {array}{ccccccc} 4.0 & 13.0 & 28.0 & 43.0 & 58.0 & 49.0 & 30.0 \end {array}\right ] \]