## Problem StatementGiven the signal:\[ x(t) = -6\cos(500\pi t), \quad T = \frac{1}{50} \]Use the CTFS (Continuous-Time Fourier Series) table of transforms and the CTFS properties to identify the CTFS harmonic function of the given periodic signal using the representation time \( T \) indicated.## Multiple Choice Options1. \[ -6\cos(500\pi t) \xleftrightarrow{\text{FS}} \frac{1}{10} \, 3 \left( \delta [k-5] + \delta [k+5] \right) \]2. \[ 6\cos(500\pi t) \xleftrightarrow{\text{FS}} \frac{1}{10} \, 3 \left( \delta [k-5] - \delta [k+5] \right) \]3. \[ -6\cos(500\pi t) \xleftrightarrow{\text{FS}} \frac{1}{10} \, 3 \left( \delta [k-5] - \delta [k+5] \right) \]4. \[ 6\cos(500\pi t) \xleftrightarrow{\text{FS}} \frac{1}{10} \, 3 \left( \delta [k-5] + \delta [k+5] \right) \]Here, \(\delta[k]\) represents the discrete-time delta function. Choose the correct harmonic function representation.

Answered: Image /qna-images/answer/7a9e9c98-f6e2-483d-87a6-41c42705dabf.jpg

= (t) = - 6cos (500nt) , T = + Jsing the CTFS table of transforms and the CTFS properties, identify the CTFS harmonic function of the given perlodic signal using the representation time Tindicated. Multiple Cholce -6cos (500xt) -3 (8 (k – 5] + 8 [k + 5]) –6cos (5007t) –3 (8 [k – 5] – 8 [k + 5))

= (t) = - 6cos (500nt) , T = + Jsing the CTFS table of transforms and the CTFS properties, identify the CTFS harmonic function of the given perlodic signal using the representation time Tindicated. Multiple Cholce -6cos (500xt) -3 (8 (k – 5] + 8 [k + 5]) –6cos (5007t) –3 (8 [k – 5] – 8 [k + 5))

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...

See similar textbooks

Similar questions

Write the equations for ØAM(t), ØFM(t) and ОРM), if the modulating signal is; f(t) = 2cos3007tt + 4cos6007tt
B) Determine the signal corresponding to each of the following transforms: 1) X(e) = 1 + 3e-jw +2e-12w - 5e-14w + e-17w 2) X(elw) = e-tw_1 1-3e-1
A continuous time signal is given by: x(t) = A cos(8000t) cos (2000nt) %3D The signal is sampled with a sample period of 3 x 10-4 seconds. Can we recover the signal from the sampled version using an appropriate low pass filter?
The single phase half-wave uncontrolled rectifier has a freewheeling diode and a ripple free average load current of 20A (high inductance). The source is 220V 50HZ. а. Draw the waveforms for the currents in D and DFW b. Express the source current in Fourier series and draw the first five components and their sum. Determine the input PF and HF (THD) of the source current at the rectifier input с.
Consider the following continous time signal x(t). Assume that the signal was sampled at a sampling frequency of 20 Hz. Plot the magnitude spectrum of the sampled signal as a function of cyclic frequency. Be sure to include n values of up to +-2. Label x and y axis. Did aliasing occur? If so, what is the aliased frequency? x(t) = 1 + 2cos(2pi25t)
Plz I need the answer of this question in dsp
) Fend lapace tronsform of the fellowing signal a
The function fit) is shown blow. The texult of ((t - 1)5(2t – 1) is A 0.56(2t – 1) B. 05 C. 0 p. -6(2t - 1)
For the following sequence {3.2,-2.2,-1.5,1.4,1.89,3.3…}, Quantize it using a uniform quantizer in the range of (-3,3) with 6 levels, and write the quantized sequence.
-. For the signal x[n] = 1+cos(™ analysis/synthesis equations. ), answer the following questions. Use the transform (a) What is the period of x[n]? (b) Is the DTFS of x[n] periodic? If yes, what is the period? (c) Find the DTFS of x[n].
need help - nyquist and sampling process
The Nyquist sampling interval, for the signal sinc(700t) + sinc(500t) is?