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- Ramanujan's Sum in NTT Given M = 11, α = 8+6i, and N = 12. Please determine the complex number theoretic transform (CNT) of x if x = [0 1 0 0 0 1 0 1 0 0 0 1] Hint: fft(x) is as follows, which is Ramanujan's Sum fft(x) = [4 0 2 0 -2 0 -4 0 -2 0 2 0]1. Determine the Fourier Series of the function shown: 3 0Q) for the following function: (X + 4) - 4 sx<-2 F(x) -X - 2sx< 2 (х - 4) 2sx < 4 1. Draw the function and is the function even or odd or neither? 2. Determine the Fourier coefficients, then write at least three terms of the Fourier series expansiona & b! I'll surely UPVOTEFind the Fourier transform of ?(?)Q1: Find the Fourier coefficients and Fourier series of the triangle function f(x) defined by +x if -n≤x≤0 f(x)= and defined on the interval + x, if 01.) Find the Fourier series for the function f(t) = (1,-4 < t ≤0 2,0(2) Find the full Fourier series for the periodic function f : R → R defined by f(x) = 1+ |x| on the interval (-1,1) and then extended using f(x+ 2) = f(x) for all r.Subject: calculusRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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