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Let's say I made this block diagram and I want to explain it:

enter image description here

FYI: $x$ is a signal and each $y$ box is a matrix

I want to say that:

The signal $x$ is multiplied by each matrix $y$ in the different branches independently to produce $f_0=xy_0$

$f_1=xy_1$

...

$f_m=xy_m$

I want to ask the experts in the signal processing world if this is formal enough? or am I sounding weird?

Edit 1:

What if I said:

The signal $x$ is multiplied by a set of matrices $y_k$ where $k = 0,1,..., m$

does it sound better? or would it imply that $x$ is multiplied like: $x*y_0*y_1*...*y_k$

which is NOT what I intend to say

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  • $\begingroup$ If the $y_m$ are matrices already, why are you splitting them into separate paths? Your first statement seems clear enough. $\endgroup$ – Peter K. Apr 23 '16 at 12:09
  • $\begingroup$ $x$ is a $1 \times N$ vector and each $y$ is an $N \times N$ matrix @PeterK. $\endgroup$ – HappyBee Apr 23 '16 at 12:19
  • $\begingroup$ So why not just have $Y$ as a $N\times N(m+1)$ matrix? $\endgroup$ – Peter K. Apr 23 '16 at 12:22
  • $\begingroup$ @PeterK. my head froze while imagining it this way. $\endgroup$ – HappyBee Apr 23 '16 at 12:25
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    $\begingroup$ I find anti-freeze works wonders on neurons. 😜 $\endgroup$ – Peter K. Apr 23 '16 at 12:41
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What I would do is:

  • Add $m$ multiplier blocks, using a circle with a $\times$ inside
  • Each multiplier would have inputs $X$ and $Y_k$
  • Each multiplier would have output $f_k$
  • Be consistent in the use of bold typeface, uppercase and lowercase

Then I would say something like "The system has input $X$ and outputs $f_k=XY_k$, for $k = 0,\ldots,m$. In the diagram, $\times$ stands for signal-matrix multiplication, which is defined as follows...".

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