Question: Write the signal x(t) = cos(6t) + 2 sin(10t) as (a) The real part of a sum of rotating phasors. (b) A sum of rotating

Write the signal x(t) = cos(6πt) + 2 sin(10πt) as

(a) The real part of a sum of rotating phasors.
(b) A sum of rotating phasors plus their complex conjugates.
(c) From your results in parts (a) and (b), sketch the single-sided and double-sided amplitude and phase spectra of x(t).

Step by Step Solution

★★★★★

3.36 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The result is xt cos 6t 2 cos 10t 2 Re e j6t Re 2e j10t ... 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 continuous-time signal x c (t), with Fourier transform X c (j) shown in Figure, is sampled with sampling period T = 2 / 0 to form the sequence x[n] x c (nT). (a) Sketch the Fourier transform X(e j...

A digital communication link carries binary-coded words representing samples of an input signal xa(t) = 3 cos 600t + 2 cos 1800. The link is operated at 10,000 bits/s and each input sample is...

An audio signal s(t) generated by a loudspeaker is reflected at two different walls with reflection coefficients r1 and r 2. The signal x(t) recorded by a microphone close to the loudspeaker, after...

\fCOMPLEX VARIABLES AND APPLICATIONS Eighth Edition James Ward Brown Professor of Mathematics The University of Michigan-Dearborn Ruel V. Churchill Late Professor of Mathematics The University of...

@ solve the following please 1. In the lab we analyzed filtering 60 Hz power-line noise from ECG signal using a digital (signal processing) filter. Now let's try to an analog (circuit) filter...

Above is a function file 'Spectrum' for the problem Problem 4: sampling, FFT, aliasing Using matlab (must be matlab to receive credit) write code in an m-file that: Sine wave: a. Set up a time array...

Yes I'm learning C Objectives: Build your own shell. Background: This project consists of modifying a C program which serves as a shell interface that accepts user commands and then executes each...

Write a MATLAB script that does the following: When the signal g ( t ) goes through a filter h ( t ) where the frequency domain definition of the filter is: 5 @ . @ S 20 H(@) = 0. elsewhere the...

This is a MATLAB question based on Computational Methods and Applications. Please show clear code with clear explanation. Thanks. Will up vote. Down below is the given HW7p1.m Same code :...

a) For the four-digit integers (from 1000 to 9999) how many are palindromes and what is their sum? b) Write a computer program to check the answer for the sum in part (a).

Al took a midterm examination in physics and received a score of 65. The mean was 60 and the standard deviation was 20. Bill received a score of 14 in mathematics, where the exam mean was 12 and the...

This chapter covers three factors that influence ethical decisions: cultural differences, knowledge, and organizational behavior. How have these factors shaped Nikes CSR actions over the past two...

Task 2: Text messaging is very popular amongst mobile phone owners, to the point that books have been published on how to write in text speak (BTW, hope u no wat I mean by txt spk). One concern is...

A lossless transmission line is 50 cm in length and operates at a frequency of 100 MHz. The line parameters are L = 0.2H/m and C = 80 pF/m. The line is terminated in a short circuit at z = 0, and...

The line shown in Figure 10.31 is lossless. Find s on both sections 1 and 2. 0.2 2 50 100 2 Zo = 50 2 2 Z, = 50 Q -j 100 2

Determine the average power absorbed by each resistor in Figure 10.30. Lossless, v= 2c/3 Z, = 50 2 0.5/0 A 25 2 100 2 2.6 2

Please provide answer to number 5. Detailed explanation please, step by step! thanks Bond Discount, Entries for Bonds Payable Transactions On July 1, Year 1, Danzer Industries Inc. issued $1,900,000...

Please help with this question. At the end of the construction year for his business, Martin's uncle Edward is having trouble dealing with the company's indirect costs as there are just so many of...

21. The mean serves as the single most preferred average for a. all data b. any frequency distribution c. Quantitative data d. Ungrouped data 22. Averages are sometimes referred to as measures of...