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).

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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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