Given a periodic signal x(t) x(t) = (2+2j)e-j3t - 3je-j2t + 5 + 3jej2t + (2-2j)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Given a periodic signal x(t) x(t) = (2+2j)e-j3t - 3je-j2t + 5 + 3jej2t + (2-2j) ej³t (a) Compare with x(t) = ³_-3 X[k] ej2nkfpt, determine X[k] and fF (b) Justify x(t) is a real signal. (c) Rewrite x(t) to compact trigonometric form x(t) = A + Bcos(2t+a) + Ccos (3t+b). Determine A, B, C, a and b. Hint: convert x+yj form to |x' exp(jy') form Show the working steps and upload them in a pdf file. Given a periodic signal x(t) x(t) = (2+2j)e-j3t - 3je-j2t + 5 + 3jej2t + (2-2j) ej³t (a) Compare with x(t) = ³_-3 X[k] ej2nkfpt, determine X[k] and fF (b) Justify x(t) is a real signal. (c) Rewrite x(t) to compact trigonometric form x(t) = A + Bcos(2t+a) + Ccos (3t+b). Determine A, B, C, a and b. Hint: convert x+yj form to |x' exp(jy') form Show the working steps and upload them in a pdf file.
Expert Answer:
Related Book For
Digital Signal Processing
ISBN: ?978-0133737622
3rd Edition
Authors: Jonh G. Proakis, Dimitris G.Manolakis
Posted Date:
Students also viewed these databases questions
-
The financial statements of The North West Company Inc. and Sobeys Inc. are presented in Appendix A and B in your Financial Accounting Tools for Business Decision - Making, 8 th Canadian Edition...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family. The Incisors own a rental beach house in Hawaii. The beach house was rented for the full year during 2012...
-
Find the extreme values of (x, y) = x 2 + 2y 2 subject to the constraint g(x, y) = 4x 6y = 25. (a) Show that the Lagrange equations yield 2x = 42, 4y = -62. (b) Show that if x = 0 or y = 0, then the...
-
Mr. and Mrs. SK are CPAs. Mr. SK is an employee of a national accounting firm, while Mrs. SK operates her own professional practice. Each year, the couple pays approximately $1,300 to subscribe to...
-
Using nodal analysis, find vo and io in the circuit of Fig. 3.79. Figure 3.79 120 V 40 , 20 100 V
-
In a study to determine the relationship between ambient outdoor temperature and the rate of evaporation of water from soil, measurements of average daytime temperature in C and evaporation in...
-
Scenario: You are an accountant at Rock Castle Construction. Your boss has asked that you create general purpose financial statements from a trial balance that he has created for you. Additionally,...
-
What are differenet audit tests that can be used to identify material misstatement of accounts payable. and how can they be applied.
-
Lays Potato Chips is examining their Wavy Lays chip line. They began the year expecting to produce 500,000 bags of potato chips. They projected that each bag would require 3 pounds of potatoes and...
-
3-month European call options on CNBC with strike price of $100 cost $10. 3-month European put options on CNBC with strike price of $100 cost $5. CNBC pays no dividends and the interest rate is 0%....
-
In the beginning of January 2 0 2 3 you want to estimate the value of a stock. On December 3 1 2 0 2 2 the price of the stock was $ 6 3 . 5 and you believe that the annual dividend growth rate and...
-
If equity is $ 2 9 8 , 0 0 0 and liabilites are $ 1 9 1 , 0 0 0 , then assets equal:
-
Chris Cornell purchased a rental property on January 1, 2023, for $400,000. Not considering the value of the land, the building's cost is $320,000 (as CCA does not apply to land). The building falls...
-
You believe that a company will pay a $ 2 dividend per share next year and following this year the dividends will have a dividend growth rate of 6 % annually in perpetuity. You want a 1 2 % yield in...
-
1. Figure 1 reproduces John's notes on Pioneer Gypsum and Global Mining. Calculate the expected return, risk premium, and standard deviation of a portfolio invested partly in the market and partly in...
-
A function f E R is called Lipschitz (or more precisely M-Lipschitz) if there exists an M >0 such that for all x, y E, f(x)-f(y)| Mx - y. 1. Show that any Lipschitz function is uniformly...
-
If the cylinder described in Problem 21.3 were initially heated to 500F, how long would it take for the center of the cylinder to cool to 240F if it were constructed of a. Copper? b. Brass? c. Nickel?
-
A single x (n) has the following Fourier transform: X () = 1/1 ae j. Determine the Fourier transforms of the following signals: (a) x (2n + 1) (b) en/2 x (i + 2) (c) x(-2n) (d) x (n) cos (0.3n) (e)...
-
Consider the discrete-time system shown in figure (a) Compute the 10 first samples of its impulse response. (b) Find the input-output relation. (c) Apply the input x(n) = {1, 1, 1, ..} and compute...
-
Consider the system (a) Draw all possible realizations of the system. (b) Suppose that we implement the filter with fixed-point sign-and-magnitude fractional arithmetic using (b + 1) bits (one bit is...
-
__________________ and __________________ are lowered to increase the camber of the wings and provide greater lift and control at slow speeds.
-
If the failure of a structure causes a loss of control of the aircraft or leads to a catastrophic structural collapse, the structure is classified as __________________ structure.
-
Wing sweepback is designed to delay or alleviate shock induced separation of airflow and improves aerodynamic performance.
Study smarter with the SolutionInn App