Operators on signals

Unitary Algebraic operators

Vector selector

This entity output a vector remapping an input vector \({\bf v}_{in}=[v_0,v_1,\cdots,v_n]\). It is realized by specifying bounds such as \(({[i,j],[k,l]})\), then the output vector will be the contanetion of the intervals extracted from the input vector: \({\bf v}_{out}=[v_i,v_{i+1},\cdots,v_{j-1},v_{j},v_{k}, v_{k+1},\cdots,v_{l-1},v_l]\) For instance if we have an input vector such that:

1
2
3
4
5
6
7
9
10

then specifying the bounds \((3,5)\) and \(( 7,10\)) will gives the following output vector

3
4
7
8
9