what is a harmonic?
What is a harmonic? (Signals and systems) transform and fourier series
Homework Answers
It is the result of a series of suitably accommodated variations in a range or frequency of emission, called information packet or fundamental. They are integer multiples of the fundamental frequency.
1-Can we calculate the Fourier Transform for a function represented by Fourier Series? Elaborate. 2-What happens...
1-Can we calculate the Fourier Transform for a function represented by Fourier Series? Elaborate. 2-What happens if we sample with a frequency that is less than half the maximum frequency of the sampled signal? 3-Describe in your words what is Fourier Series and its relation to periodic signals. Mention whether it is a time domain or frequency domain representation
Please answer very good and with clear hand writing for signals and systems thanks Let a...
Please answer very good and with clear hand writing for
signals and systems thanks
Let a periodic signal x(t) with a fundamental frequency ?,-2n have a period 4.6 x1(t) = t(u(t)--u(t-1)] (a) Plot x(t), and indicate its fundamental period To Compute the Fourier series coefficients of x(t) using their integral definition. (b) (c) Use the Laplace transform to compute the Fourier series coefficients (d) Suppose that y(t) = dx(t)/dt, find the Fourier transform of x(t) by Answers: x(t) is periodic...
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...
Signals and systems Problem 2 (20 points) Let -S2t+1, Osts1 x(t) = -t +4, 1sts 3...
Signals and systems
Problem 2 (20 points) Let -S2t+1, Osts1 x(t) = -t +4, 1sts 3 be a periodic signal with fundamental period T=3 and Fourier coefficients ar a. Determine the value of ao. b. Determine ak, k = 0, by: 1. first finding the Fourier coefficients of ii.then using the appropriate property of the continuous-time Fourier series. c. Use the result of part (b) to express the Fourier transform of x().
2.4.1. Suppose (t is as shown 3-2 1 3 4 (a) Determine the fundamental period To,...
2.4.1. Suppose (t is as shown 3-2 1 3 4 (a) Determine the fundamental period To, the fundamental frequency fo, and the funda- mental cycle x(t). Express a(t) as a function involving a rect(.) (b) Determine X(f), the Fourier transform of the fundamental cycle a(t) (c) Determine the Fourier series coefficients xk for ï(t) (d) DetermiX(f), the Fourier transform of (t) (e) Determine the power P (f) Determine the percentage of power in DC and the percentage of power in...
could you give me a short explanation of Fourier series and transform (signals and system)
could you give me a short explanation of Fourier series and transform (signals and system)
2 ANOWI 20 .202019 pd What is the spectrum of the negative half-sine pulse shown in...
2 ANOWI 20 .202019 pd What is the spectrum of the negative half-sine pulse shown in Fig. 1 e) Find the spectrum of the single sinc pulse shown in Fig. (d). Question 5 (20 points) Fourier transform X() of'n signal is shown in Fig. 2. Determine and sketch the Fourier transform of the signal x, (t) = -x(t) + x(t) cos(2000 t) + 2x(t) cos? (3000xt) Question 6 (20 points) Determine the Fourier Series expansion of the following periodic signals....
SIGNAL: 1. Find the THD of the signal including the 6th harmonic. 2. Find the RMS of the signal using Fourier series expansion including to the 6th harmonic. 3. Comparing the RMS including the 6th ha...
SIGNAL:
1. Find the THD of the signal including the 6th harmonic.
2. Find the RMS of the signal using Fourier series expansion
including to the 6th harmonic.
3. Comparing the RMS including the 6th harmonic to the RMS
including the 5th harmonic, what is:
Sin 2 Stわ
Sin 2
Stわ
Figure 1 [Rajah I (8 MarksMarkak) (b) Evaluate the signal in Figure 2 and create the expression of Fourier coefficient to filter the signal by its k-th harmonic. State the characteristic of the ob...
Figure 1 [Rajah I (8 MarksMarkak) (b) Evaluate the signal in Figure 2 and create the expression of Fourier coefficient to filter the signal by its k-th harmonic. State the characteristic of the obtained signals Nlaikan isyarat dalam Rajah 2 am hasilkon nekapan pekali Fowrier twk menapis isyarat melalui harmowik ke-k. Nyatakan ciri-ciri ixyrar ng dihasilkan.J x [n Figure 2 Rajah 2 (12 Marks Markak) (c) Use the definition of Continuous Time Fourier Transform (CTFT) to determine the frequency domain...
2.4. HARMONIC FOURIER SERIES 57 Problem 2. Consider the function f in L? (0,2m) given by...
2.4. HARMONIC FOURIER SERIES 57 Problem 2. Consider the function f in L? (0,2m) given by f(t) = sin( 1.5) (when 0 < t < 2π Find the sine and cosine Fourier series expansion (3.1) for f. Choose a partial Fourier series approximation pn(t) for f (t). Then plot pn(t) and f(t) on the same graph. Compute the error llf - Pall. Does this Fourier series converge for t 2mj where j is an integer, and if so what does...
Please answer very good and with clear hand writing for
signals and systems thanks
Let a periodic signal x(t) with a fundamental frequency ?,-2n have a period 4.6 x1(t) = t(u(t)--u(t-1)] (a) Plot x(t), and indicate its fundamental period To Compute the Fourier series coefficients of x(t) using their integral definition. (b) (c) Use the Laplace transform to compute the Fourier series coefficients (d) Suppose that y(t) = dx(t)/dt, find the Fourier transform of x(t) by Answers: x(t) is periodic...
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...
Signals and systems
Problem 2 (20 points) Let -S2t+1, Osts1 x(t) = -t +4, 1sts 3 be a periodic signal with fundamental period T=3 and Fourier coefficients ar a. Determine the value of ao. b. Determine ak, k = 0, by: 1. first finding the Fourier coefficients of ii.then using the appropriate property of the continuous-time Fourier series. c. Use the result of part (b) to express the Fourier transform of x().
2.4.1. Suppose (t is as shown 3-2 1 3 4 (a) Determine the fundamental period To, the fundamental frequency fo, and the funda- mental cycle x(t). Express a(t) as a function involving a rect(.) (b) Determine X(f), the Fourier transform of the fundamental cycle a(t) (c) Determine the Fourier series coefficients xk for ï(t) (d) DetermiX(f), the Fourier transform of (t) (e) Determine the power P (f) Determine the percentage of power in DC and the percentage of power in...
2 ANOWI 20 .202019 pd What is the spectrum of the negative half-sine pulse shown in Fig. 1 e) Find the spectrum of the single sinc pulse shown in Fig. (d). Question 5 (20 points) Fourier transform X() of'n signal is shown in Fig. 2. Determine and sketch the Fourier transform of the signal x, (t) = -x(t) + x(t) cos(2000 t) + 2x(t) cos? (3000xt) Question 6 (20 points) Determine the Fourier Series expansion of the following periodic signals....
SIGNAL:
1. Find the THD of the signal including the 6th harmonic.
2. Find the RMS of the signal using Fourier series expansion
including to the 6th harmonic.
3. Comparing the RMS including the 6th harmonic to the RMS
including the 5th harmonic, what is:
Sin 2 Stわ
Sin 2
Stわ
Figure 1 [Rajah I (8 MarksMarkak) (b) Evaluate the signal in Figure 2 and create the expression of Fourier coefficient to filter the signal by its k-th harmonic. State the characteristic of the obtained signals Nlaikan isyarat dalam Rajah 2 am hasilkon nekapan pekali Fowrier twk menapis isyarat melalui harmowik ke-k. Nyatakan ciri-ciri ixyrar ng dihasilkan.J x [n Figure 2 Rajah 2 (12 Marks Markak) (c) Use the definition of Continuous Time Fourier Transform (CTFT) to determine the frequency domain...
2.4. HARMONIC FOURIER SERIES 57 Problem 2. Consider the function f in L? (0,2m) given by f(t) = sin( 1.5) (when 0 < t < 2π Find the sine and cosine Fourier series expansion (3.1) for f. Choose a partial Fourier series approximation pn(t) for f (t). Then plot pn(t) and f(t) on the same graph. Compute the error llf - Pall. Does this Fourier series converge for t 2mj where j is an integer, and if so what does...
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