I personally prefer to print the file to eps format. It leaves absolutely no extra space
print(gcf, 'filename', '-depsc')
And then export the eps file to pdf using epstopdf (command-line tool available with the installation of latex). If you don't have epstopdf installed, you can use this link: https://www.zamzar.com/convert/eps-to-pdf/ to convert the files to pdf.
The following image shows the difference between both methods. First is according to Friedrich's answer, second, when it is created using the above method.