5) (Gibbs Effect) Identify whether or not Gibbs Effect will be present in the Fourier Series reproduction of the same 3 signals (1, 4, 5) above, and the one below: Heavily Cipped Sine wave Signal 6-Clipped sine wave
Homework Answers
According to Gibbs phenomena,
For a periodic signal that has no discontinuity, the fourier series representation converges and equals the original signal at every point of time.
For a aperiodic signal with a finite number of discontinuity in each period, the fourier series representation equals the signal everywhere except at isolated points of discontinuity at which the series converges to average value at that point.
Now according to given question signal1, signal4, signal 5 have finite number of discontinuity, so gibbs effect is in signal1, signal4, signal 5 but no in signal 6 as sinusoidal signal is always continuous.
Add Answer to:
4tlt) Signa! 1 x(t) Signal 4 xlt) Signal 5 - 48 1 2 4 0.5 5) (Gibbs Effect) Identify whether or not Gibbs Effect will be present in the Fourier Series reproduction of the same 3 signals (1, 4, 5) abo...
1. Periodic signals with period To can be presented by Fourier Series in Complex Exponential or...
1. Periodic signals with period To can be presented by Fourier Series in Complex Exponential or Trigonometric form. i.e. X(t) = a ewa, H or where Mx = 2|az|; 0x = Zat Find the Fourier series coefficients at, as well as My and et, for the following signals. . (a). Sinusoidal: X(t) = sin 277. A (b). Square: -A TO Procedures: Use the Signal Generator to generate the above signals according to the setting listed in Table I and measure...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fund...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
Consider the following CT periodic signals x(t), y(t) and z(t) a(t) 5 -4 y(t) 5/-4 z(t)...
Consider the following CT periodic signals x(t), y(t) and z(t) a(t) 5 -4 y(t) 5/-4 z(t) 5 4 (a) [2 marks] Find the Fourier series coefficients, ak, for the CT signal r(t), which is a periodic rectangular wave. You must use the fundamental frequency of r(t) in constructing the Fourier series representation (b) [2 marks] Find the Fourier series coefficients, bk, for the CT signal y(t) cos(t) You must use the fundamental frequency of y(t) in constructing the Fourier series...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given bel...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
One of the most important classes of time dependent signals are periodic signals. Periodic signals satisfy tho following signal equations, x(t) X(t) x(t+nt) for n 2,3. The periodic signals to b...
One of the most important classes of time dependent signals are periodic signals. Periodic signals satisfy tho following signal equations, x(t) X(t) x(t+nt) for n 2,3. The periodic signals to be observed in this laboratory assignment are shown below. In all the examples A represents the amplitude of the signal and may be given as the measurement from 0 to the peak value A, Apk or can be given as the measurement between A and -A which defines a peak-to-peak...
5. (20 pts) Compute the Fourier series coefficients of the following signals r(t) 4 3 2...
5. (20 pts) Compute the Fourier series coefficients of the following signals r(t) 4 3 2 x(t) 2 1
Please help by writing a MATLAB Code for the this lab Fourier Series Synthesis You will...
Please help by writing a MATLAB Code for the this lab
Fourier Series Synthesis
You will consider five continuous-time signals
1-
2-
for
A
D
4-
We were unable to transcribe this imageWe were unable to transcribe this imager(t) e-t for-1 < t > 1 x(t) 2 2 4 3 3 x(t) -4 2 2 4 2 1, 0sts be a periodic signal with fundamental period T = 2 and Fourier coefficients ak. (a) Determine the value of ao (b)...
3) Find the exponential Fourier series for the periodic signal x(t)= e 1/2 over the range...
3) Find the exponential Fourier series for the periodic signal x(t)= e 1/2 over the range 0..1, periodically continued. 4) Plot the amplitude and phase spectra of this signal. How do they compare to (2) above?
5. If we a signal fAt): f(o A 0 A=1, T=2 Find the Fourier series of...
5. If we a signal fAt): f(o A 0 A=1, T=2 Find the Fourier series of the signal. Hint: combine 3) and 4).
(a) Given the following periodic signal a(t) a(t) -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 i. [2%) Determine the fundamental period T ii. [5%] Derive the Fourier series coefficients of x(t). iii. [396]...
(a) Given the following periodic signal a(t) a(t) -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 i. [2%) Determine the fundamental period T ii. [5%] Derive the Fourier series coefficients of x(t). iii. [396] Calculate the total average power of z(t). iv. [5%] If z(t) is passed through a low-pass filter and the power loss of the output signal should be optimized to be less than 5%, what should be the requirement of cutoff frequency of the low-pass filter?...
1. Periodic signals with period To can be presented by Fourier Series in Complex Exponential or Trigonometric form. i.e. X(t) = a ewa, H or where Mx = 2|az|; 0x = Zat Find the Fourier series coefficients at, as well as My and et, for the following signals. . (a). Sinusoidal: X(t) = sin 277. A (b). Square: -A TO Procedures: Use the Signal Generator to generate the above signals according to the setting listed in Table I and measure...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
Consider the following CT periodic signals x(t), y(t) and z(t) a(t) 5 -4 y(t) 5/-4 z(t) 5 4 (a) [2 marks] Find the Fourier series coefficients, ak, for the CT signal r(t), which is a periodic rectangular wave. You must use the fundamental frequency of r(t) in constructing the Fourier series representation (b) [2 marks] Find the Fourier series coefficients, bk, for the CT signal y(t) cos(t) You must use the fundamental frequency of y(t) in constructing the Fourier series...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
One of the most important classes of time dependent signals are periodic signals. Periodic signals satisfy tho following signal equations, x(t) X(t) x(t+nt) for n 2,3. The periodic signals to be observed in this laboratory assignment are shown below. In all the examples A represents the amplitude of the signal and may be given as the measurement from 0 to the peak value A, Apk or can be given as the measurement between A and -A which defines a peak-to-peak...
5. (20 pts) Compute the Fourier series coefficients of the following signals r(t) 4 3 2 x(t) 2 1
Please help by writing a MATLAB Code for the this lab
Fourier Series Synthesis
You will consider five continuous-time signals
1-
2-
for
A
D
4-
We were unable to transcribe this imageWe were unable to transcribe this imager(t) e-t for-1 < t > 1 x(t) 2 2 4 3 3 x(t) -4 2 2 4 2 1, 0sts be a periodic signal with fundamental period T = 2 and Fourier coefficients ak. (a) Determine the value of ao (b)...
3) Find the exponential Fourier series for the periodic signal x(t)= e 1/2 over the range 0..1, periodically continued. 4) Plot the amplitude and phase spectra of this signal. How do they compare to (2) above?
5. If we a signal fAt): f(o A 0 A=1, T=2 Find the Fourier series of the signal. Hint: combine 3) and 4).
(a) Given the following periodic signal a(t) a(t) -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 i. [2%) Determine the fundamental period T ii. [5%] Derive the Fourier series coefficients of x(t). iii. [396] Calculate the total average power of z(t). iv. [5%] If z(t) is passed through a low-pass filter and the power loss of the output signal should be optimized to be less than 5%, what should be the requirement of cutoff frequency of the low-pass filter?...
Most questions answered within 3 hours.
-
Given a regression sum of squares equal to 2373.59 and a total
sum of squares equal...
asked 1 hour ago -
Compare and contrast the linear motion and angular motion
equations F ma and . That is,...
asked 25 minutes ago -
Now that this course has taken you on a journey of introduction
to the world of...
asked 1 hour ago -
The sandwich maker of the EE-Cole-Eye Sandwich Truck was just
fired (for a reason described below)...
asked 3 hours ago -
Name the following coordination compounds using systematic
nomenclature.
1. [Co(H2O)6]Cl2:
2. [Cr(NH3)6](NO3)3:
3. K4[Fe(CN)6]:
4. Na[Au(CN)4]:...
asked 3 hours ago -
Propose an efficient synthesis of 2-Bromo-5-nitrotoluene from
benzene. Hint: 3 steps. Consider directing effects of substituents....
asked 5 hours ago -
This assignment will explore the impact of corporate decisions
on a local versus a global perspective....
asked 4 hours ago -
Given the function below, F(w,x,y,z)= x’z+w’z’+w’y
a) draw a logic diagram for an implementation which uses...
asked 3 hours ago -
Most political philosophers believe we have a duty to obey laws,
even if the laws in...
asked 4 hours ago -
Which of the following are common negotiation outcome
mistakes?
a. Leave money on the table b....
asked 5 hours ago -
Convert the following quantities:
a) 0.819 atm to torr b) 512 mmHg to bar c) 11.2...
asked 5 hours ago -
C ++ Implement cat command
The purpose of this assignment is to provide practice using the...
asked 5 hours ago