Question: Using only the Fourier transform of the unit impulse function and the differentiation theorem, find the Fourier transforms of the signals shown in Figure 2.36.

Using only the Fourier transform of the unit impulse function and the differentiation theorem, find the Fourier transforms of the signals shown in Figure 2.36.

1.5 0.5 -0.5 0.5 3 4 2 3 t, s t, s 2 1.5 1.5 0.5 0.5 3 2 3 t, s t, s Figure 2.36 (1)4x 2. 2. (1)

1.5 0.5 -0.5 0.5 3 4 2 3 t, s t, s 2 1.5 1.5 0.5 0.5 3 2 3 t, s t, s Figure 2.36 (1)4x 2. 2. (1)"x (1)x

Step by Step Solution

★★★★★

3.63 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a One differentiation gives Two differentiation give Application of the differentiation theorem of F... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Principles Communications Systems Questions!

(a) Use the Fourier transform of x(t) = exp (-t) u (t) - exp (t) u (-t) where > 0 (b) Use the result above and the relation u(t) = 1/2[sgn (t) + 1] to find Fourier transform of the unit step. (c)...

From a discrete-time signal x(n) with Fourier transform X(?). Shown in figure determine and sketch the Fourier transform of the following signals: Note that y1 (n) = x (n)s(n), where s(n) = { . . ....

Using Fig. 18.27 , design a problem to help other students better understand the Fourier transform given a wave shape. What is the Fourier transform of the triangular pulse in Fig. 18.27? f(t) f(0) t1

Describe how to construct the function cpo ((D E), v) of two cpos (D, vD) and (E, vE). Prove that ((D E), v) is a cpo. (You may use facts about least upper bounds provided you state them clearly.)...

ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...

10 Green's functions for PDEs In this final chapter we will apply the idea of Green's functions to PDEs, enabling us to solve the wave equation, diffusion equation and Laplace equation in unbounded...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

MAT 275 Laboratory 7 Laplace Transform and the Symbolic Math Toolbox In this laboratory session we will learn how to 1. Use the Symbolic Math Toolbox 2. Calculate the Laplace and Inverse Laplace...

please solve all question by usig matlab thank you. LCEV Tuys 20 C UUUULUUII IU LUV Ul.walceu LIVIUVIES WILL . II: The Discrete Fourier Transform (DFT) An alternative to using the approximation to...

please help me with this asap do it carefully and clearly plz. # Import library import numpy as #(2 points) # Function register_Arun_3D # Input: Two 3x matrices of points to register: # fixed dataset...

Perform blast pairwise alignment of the two proteins Matrix Score (bits) % Identity % Positive E value BL62 243 216/761(28%) 348/761(45%) 7e-70 BL45 162 bits(538) 100/291(34%) 157/291(53%) 2e-44 BL80...

If the bank had shown that Robert had failed to take reasonable care in controlling access to the blank checks for his account, would the outcome in this case have been different? Why or why not?

Referring to Exercise 4.35 on page 127, find the mean and variance of the discrete random variable Z = 3X 2, when X represents the number of errors per 100 lines of code.

Identify which types of graphs should be used with variables at different levels of measurement.

Show that E xs = Ae j(k0z+Ï) is a solution of the vector Helmholtz equation, Eq. (30), for k 0 = ÏÎ¼ 0 0 and any Ï and A. dExs = -k,Es. dz?

A 10 GHz uniform plane wave propagates in a lossless medium for which r = 8 and r = 2. Find (a) p ; (b) ; (c) ; (d) E s ; (e) H s ; (f) S .

An H field in free space is given as H(x, t) = 10 cos(10 8 t x)a y A/m. Find (a) ; (b) ; (c) E(x, t) at P(0.1, 0.2, 0.3) at t = 1 ns.

An asset has an average return of 1 1 . 2 7 percent and a standard deviation of 2 4 . 0 9 percent. What is the most you should expect to earn in any given year with a probability of 2 . 5...

Compute the Weighted Average Cost of Capital ( WACC ) for Bob s Crystal Pool Supply given that the after - tax cost of debt financing rd ( 1 T ) is 1 0 % , the cost of preferred stock financing ( rp...

Impossible Corporation just paid a dividend of $2.30 per share. The dividends are expected to grow at 23 percent for the next eight years and then level off to a growth rate of 7 percent...