Without using MATLAB, for a filter h(n) = {3, 1, 2, 4, 1, 3, 2, 2}, what are the filters, g0(n), g1(n), and g2(n), for a 3-branch polyphase implementation? Using the signal x(n) = {2, 3, 1}, verify that the output of an up-sample by three and then filtering by h(n) is equivalent to the output resulting from the 3-branch polyphase filter bank, where the upsampling and filtering operations have been re-ordered