Problem $1/$ Recitation $/$ MatlabGrader

Write a function myDFT that performs the discrete Fourier transform for a signal $\backslash ($ y$($t$)\backslash )$ sampled at regular time intervals. The function shall take as input the vector of times measurements were taken $\backslash ($ t $\backslash )$ and the vector of measured values y that should be periodic over the total time of measurement. As output the function shall provide the variable a $0$ representing $\backslash ($ a$\_\{0\}\backslash )$ and the vectors a and b containing $\backslash ($ a$\_\{$k$\}\backslash )$ and $\backslash ($ b$\_\{$k$\}\backslash )$ from the discrete Fourier transform $($a does not include $\backslash ($ a$\_\{0\}\backslash )$ which is returned in a separate variable$).$ In the function, perform two data consistency checks and call Matlab's error function error $("..")$ ; if either one fails. First, ensure that the vectors $\backslash ($ t $\backslash )$ and $\backslash ($ y $\backslash )$ have the same length and second they contain an odd number of points $(=$ even number of unique points$).$

Required submission:

well commented function source code submitted to Matlab Grader