describing a block diagram // How do I describe multiplying a signal through multiple branches formally? Let's say I made this block diagram and I want to explain it:



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
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...".