comparison of loop and vectorization in matlab

Question

let us consider following code for impulse function

function y=impulse_function(n);
y=0;
if n==0
    y=1;
end
end

this code

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Answer 1

You could define your impulse function simply as this one -

impulse_function = @(n) (1:numel(n)).*n==0

Sample run -

>> n = -6:4
n =
    -6    -5    -4    -3    -2    -1     0     1     2     3     4
>> out = impulse_function(n)
out =
     0     0     0     0     0     0     1     0     0     0     0

Plot code -

plot(n,out,'o')    %// data points
hold on
line([0 0],[1 0])  %// impulse point

Plot result -