Section 7.6.5 showed how to implement the DFT equation directly with two nested loops, and subsequently how to perform a conversion to a vectorized version with only one loop and one vector dot product within the loop. It is possible to code the DFT using only one matrix – vector multiplication, where the matrix is composed of fi xed coeffi cient values and the vector is the time – sampled input vector. Show how to implement the DFT in this way, and check your results using the DFT code given

Section 7.6.5 showed how to implement the DFT equation directly with two nested loops, and subsequently how to perform a conversion to a vectorized version with only one loop and one vector dot product within the loop. It is possible to code the DFT using only one matrix – vector multiplication, where the matrix is composed of fi xed coeffi cient values and the vector is the time – sampled input vector. Show how to implement the DFT in this way, and check your results using the DFT code given


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