Fast Fourier Transform Algorithm

a. Calculate the approximate number of complex operations (COs) required to compute an 18-point DFT by directly evaluating the 18-point DFT sum. Here a complex operation is taken to mean 1 complex addition and 1 complex multiplication.
b. Derive a complete set of equations to show how an 18-point Discrete Fourier Transform (DFT) can be calculated in terms of two 3-point DFTs and one 2-point DFT via decimation-in-time.
c. Based on your answer to part b) above, list the complete ordering of the 18- point input to your 18-point FFT algorithm.
d. Based on your answer to part b) above, calculate the approximate number of complex operations (COs) required to compute an 18-point DFT using your FFT algorithm

Why is it important for students to establish some common values before beginning a discussion

Which word best describes the author's tone in this excerpt from "that spot" by jack london? i don’t think much of stephen mackaye any more, though i used to swear by him. i know that in those days i loved him more than my own brother. if ever i meet stephen mackaye again, i shall not be responsible for my actions. it passes beyond me that a man with whom i shared food and blanket, and with whom i mushed over the chilcoot trail, should turn out the way he did. i always sized steve up as a square man, a kindly comrade, without an iota of anything vindictive or malicious in his nature. i shall never trust my judgment in men again. why, i nursed that man through typhoid fever; we starved together on the headwaters of the stewart; and he saved my life on the little salmon. and now, after the years we were together, all i can say of stephen mackaye is that he is the meanest man i ever knew. a. excited b. ironic c. indignant d. playful

The first step in making a mental model for a compare-and-contrast text is a. comparing the two things being described. b. finding important details in the text. c. contrasting the two things being described. d. connecting details to what is already known.