Final answer:
The question involves applying the FFT command in MATLAB to determine the relationship between vectors v and w. The solution requires comparison of the original vector v to the inverse FFT of vector w to deduce the values of c, y, d, and q.
Step-by-step explanation:
The question involves the application of the fast Fourier transform (FFT) in MATLAB, which is a computing and environment language used in engineering and scientific computations.
In MATLAB, the fft command computes the discrete Fourier transform of a sequence. When we apply FFT to the vector v, it produces the vector w. Assuming 'fitt' is a typo for 'fft', we can express the given vectors as:
v =
[y, 1, 1, y]^T and w = [c+2, d-4, c-2, q-3]^T
The FFT of the vector v can be calculated by MATLAB's fft function. Since the FFT is a linear transformation, we can deduce the components of the vector c, y, d, and q by computing the inverse FFT (ifft) of w and comparing it to v.
However, it is important to note that the fast Fourier transform is based on the assumption that the input signal is periodic. Therefore, while this approach provides an insight into the relationship between the output and input vectors of an FFT, additional steps or clarification might be needed for a precise solution. The student should verify the appropriate MATLAB command and that 'fitt' refers indeed to 'fft' before proceeding with the computation.