Composition fundamentals of PROBLEM 7 (20pts) (Fourier transform ) (a) Complete the Certification Process of the dirichl

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Composition Fundamentals Of Problem 7 20pts Fourier Transform A Complete The Certification Process Of The Dirichl 1 (77.76 KiB) Viewed 28 times

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Composition fundamentals of PROBLEM 7 (20pts) (Fourier transform ) (a) Complete the Certification Process of the dirichlet kernel. The impulse train (right side) with a period I is expressed as a linear Combination of sinusoidal function with an integer multiple of frequency 1/T as frequency. j-nt Σ δ(t-nT)= Σ αρ Show that the linear coupling coefficient an is an== an 11=-00 11=-00 1 (b) Prove 8(1) = [e¹²* df = ¹/ Se j2n ft elax do in the difichlet kernel equation е 2π 1 -e Obtained in this way by changing [ 8(r-nT) = [= to an integral equation with (1-11) the basic Period I as infinity. T