can you please help me on sub part 4 to part 7.Thanks Question1) Let f be a function of the real variable t, absolutely integrable over R and continuousover a closed interval. Define the Fourier transform of this function.2) Give a physical interpretation of the Fourier transform of a function.TF [f (t)] denotes the Fourier transform of a function (f).3) Show that, TF[f(t)] = 2 f(t) cos(2nvt)dt, in the case where the function (f) is%3Deven.too4) Show that, TF[f(t)] = -2 f(t) sin(2nvt)dt, in the case where the function (f)is odd.5) The function (g) is defined by:g(t) = t2.n(t),Where n(t), indicates the function 'door'(i) Define the 'door' function.(ii) Give the graphical representation of the function (g).(iii) Determine TE [g (t)].6) Show that, TF[f(t – a)] = e-j2rva TF[f(t)], where a E R*%3D7) The function (h) is defined by:h(t) = 0 if te]-o, 0[; h(t) = t2 – t+ 0,25 if te [0, 1[;h(t) = 0 ifte[1, +o[.(i) Give the graphical representation of the function (h).(ii) Using the previous results, determine the Fourier transform of the function (h).

As per our company guidelines we are supposed to be answer only 3 sub parts only. Kindly repost the…

even. 4) Show that, TF[f(t)] = -2 o f(t) sin(2nvt)dt, in the case where the function (f) is odd. 5) The function (g) is defined by: g(t) = t2. n(t), Where n(t), indicates the function 'door (i) Define the 'door' function. (ii) Give the graphical representation of the function (g). (iii) Determine TF [g (t)]. 6) Show that, TF[f(t - a)] = e-j2nva TF[f(t)], where a E R*

even. 4) Show that, TF[f(t)] = -2 o f(t) sin(2nvt)dt, in the case where the function (f) is odd. 5) The function (g) is defined by: g(t) = t2. n(t), Where n(t), indicates the function 'door (i) Define the 'door' function. (ii) Give the graphical representation of the function (g). (iii) Determine TF [g (t)]. 6) Show that, TF[f(t - a)] = e-j2nva TF[f(t)], where a E R*

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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