MATLAB: Defining a symbol to perform a specified operation

perform a function symbol

Is there a way, for example, given two numbers a and b I can either use a function or define a symbol, say %, such that a%b = (a*b)/(a+b)?

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Aleem - I think the easiest approach would be to create a function. It would take the a and b as inputs, the function body would be your above equation, and the output parameter would be the result. Is there a reason why you want to create a function rather than just writng the above where needed?

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MATLAB: Symbol rate

If the number of bits per symbol is constant, then I already showed you the formula. You deleted my answer, however -- why did you do that?

1000 bits per second, divided by (N bits per symbol) gives how many symbols per second?

If different symbols have different numbers of bits, then you can only speak about the average number of symbols per second. You would either have to have a measured average, or you would have to have a known probability distribution for each symbol. Multiply the number of bits for any one symbol by its probability, sum over all the symbols to get the statistical average bits per symbol, and then proceed as per the above outline.

MATLAB: Speeding up calculation and removing symbol operation for modelization

You can simply define your model-function something like this:

func = @(B,x,y) B(3)*x+B(1)*exp(B(2)./y);

There is no reason to make a detour by symbolic variables.

Then you can simplify the definition of your error-function too. Perhaps something like this:

err_fcn = @(pars,M,X,Y,f) sum((M(:) - f(pars,X(:),Y(:) ) ).^2,'omitnan');

That error-function you can minimize with fminsearch:

Bbest = fminsearch(@(pars) err_fcn(pars,M,X,Y,func),B_guess)

The dynamic function-declaration, function-handle-argument and anonymous functions lets you define a rather general error-function where you send in the independent variables and the function-parameters and the function together with the variable to fit to. This is rather nifty...

HTH

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MATLAB: Symbol rate

MATLAB: Speeding up calculation and removing symbol operation for modelization

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