(a) JPEG uses the Discrete Cosine Transform (DCT) for image com... | Filo

Write two MATLAB functions, called mydct.m and myidct.m, that implement the discretecosine transform (DCT) and its inverse for a vector of length N. You code should be short (4 linesor less per function, no loops), efficient (it should make use of the fft command), and match theoutput of MATLAB's dct and idct commands. You can verify the latter withX = randn(1000000,1);d1 = mydct(x);d2 = dct(x);norm(d1-d2)y = randn(1000000,1);w1 = myidct(y);w2 = idct(y);norm(w1-w2)The norms of the differences sh