Scicos Block
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Complex vector multiplier block

Contents

• Complex vector multiplier block
  • Palette
  • Description
  • Dialog box
  • Default properties
  • Interfacing function
  • Computational function
  • Authors

Palette

• Tools - Tools Palette

Description

This block realizes the complex vector multiplication. It comes with four regular inputs that respectively are the first input complex vector (u1 is the real part and u2 the imaginary part) and the second complex input vector (u3 is the real part and u4 the imaginary part). Let's define the complex multiplication with the formula :

$$\begin{eqnarray} \tilde{C}&=&\tilde{A} \tilde{B} \end{eqnarray}$$

where $\tilde{C}$ is the output complex vector and $\tilde{A}$,$\tilde{B}$ two inputs complex vector :

$$\begin{eqnarray} y_{1}+jy_{2}&=&\left(u_{1}+ju_{2}\right)\left(u_{3}+ju_{4}\rig... ...u_{1}u_{3}-u_{2}u_{4}\right)+j\left(u_{1}u_{4}+u_{2}u_{3}\right), \end{eqnarray}$$

the n element of the output complex vector is then computed as follow :

$$\begin{eqnarray} y_{1}(n)&=&u_{1}(n)u_{3}(n)-u_{2}(n)u_{4}(n)\\ y_{2}(n)&=&u_{1}(n)u_{4}(n)+u_{2}(n)u_{3}(n)\\ \end{eqnarray}$$

Dialog box

• Size of inputs
  Type 'vec' of size 1. The size of the regular inputs port..

Default properties

• always active: no
• direct-feedthrough: yes
• zero-crossing: no
• mode: no
• regular inputs:
  - port 1 : size [256,1] / type 1
  - port 2 : size [256,1] / type 0
  - port 3 : size [256,1] / type 0
  - port 4 : size [256,1] / type 1
  
• regular outputs:
  - port 1 : size [256,1] / type 1
  - port 2 : size [256,1] / type 1
  
• number/sizes of activation inputs: 0
• number/sizes of activation outputs: 0
• continuous-time state: no
• discrete-time state: no
• object discrete-time state: no
• name of computational function: vectmultcmplx

Interfacing function

• MODNUMCOS/macros/scicos_blocks/Tools/VECTMULTCMPLX_f.sci [view code]

Computational function

• MODNUMCOS/routines/tools/vectmultcmplx.c (Type 4) [view code]

Authors

A. Layec