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Gven the plot of production 3) What is the fundamental frequency of the proci 2) What...
Let a periodic signal x(t) with a fundamental frequency ??e2? have a period 4.6 (a) Plot...
Let a periodic signal x(t) with a fundamental frequency ??e2? have a period 4.6 (a) Plot x(t), and indicate its fundamental period To (b) Compute the Fourier series coefficients of x(t) using their integral (c) (d) Answers: x(t) is periodic of fundamental period definition. Use the Laplace transform to compute the Fourier series coefficients Xk. Indicate how to compute the dc term. Suppose that y(t) = dx(t)/dt, find the Fourier transform of x(t) by means of the Fourier series coefficients...
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...
Consider the signal at right. a) Based on the plot, what is the fundamental period of this signal? b) From the fundamental period, compute the fundamental frequency in Hertz. c) This signal was compu...
Consider the signal at right. a) Based on the plot, what is the fundamental period of this signal? b) From the fundamental period, compute the fundamental frequency in Hertz. c) This signal was computed from the equation What is the fundamental circular frequency, oo? d) If this signal is passed through a first-order low- pass filter with corner frequency of 0.2 Hz, write an expression for the output of the filter. e) Plot the original signal and the filtered signal...
Signals and Systems: Discrete time Fourier Series: If: 1. Please find the F.S. representation of x[n] 2. Please plot the amplitude spectrum 3. What is the fundamental frequency of x[n]? 4. How many d...
Signals and Systems: Discrete time Fourier Series: If: 1. Please find the F.S. representation of x[n] 2. Please plot the amplitude spectrum 3. What is the fundamental frequency of x[n]? 4. How many distinct harmonics can be present in x[n]?--for this fundamental frequency. 5. How many harmonics are actually in x[n]? Trying to prepare for finals, its crunch time, thank you for your help! r[n] = 2sin(n-) + cos(n-) r[n] = 2sin(n-) + cos(n-)
Consider the signal at right. a) Based on the plot, what is the fundamental period of...
Consider the signal at right. a) Based on the plot, what is the fundamental period of this signal? b) From the fundamental period, compute the fundamental frequency in Hertz. c) This signal was computed from the equation What is the fundamental circular frequency, oo? d) If this signal is passed through a first-order low- pass filter with corner frequency of 0.2 Hz, write an expression for the output of the filter. e) Plot the original signal and the filtered signal...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this ...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2....
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2.1, determine both the DC coefficient ao and a general expression for the other Fourier series coefficients ak. Do this by hand, not in Matlab. Show all your work in your lab report. You can add these pages as hand-written pages, rather than typing them in to your lab report, if you prefer Hint 1: It will be easiest to integrate this function from...
A) Find the analytic expression for the zero frequency ("D.C.") Fourier series coefficient, c0, a...
a) Find the analytic expression for the zero frequency ("D.C.")
Fourier series coefficient, c0, as a function of the
duty cycle D between 0 and 1.
b) Find the analytic expression for the absolute value of the
first Fourier series coefficient, c1, a function of the
duty cycle D between 0 and 1. At what value of the duty cycle is
the magnitude of the coefficient maximized?
f(t) is a periodic square wave with variable duty cycle, D, where D...
Consider the periodic signal x(t) shown in the Figure below: x(t) . 3 2 0 1...
Consider the periodic signal x(t) shown in the Figure below: x(t) . 3 2 0 1 2 3 4 5 6 t A. Determine the fundamental period T and the fundamental frequency wo. B. Compute the Fourier Series coefficients and simplify the expression to its simplest form.
4. (20 points) Consider the periodic signal r(t) shown in the Figure below: x(t) 3 2...
4. (20 points) Consider the periodic signal r(t) shown in the Figure below: x(t) 3 2 N VAA 0 1 2 3 4 5 6 A . Determine the fundamental period T and the fundamental frequency wo. B. Compute the Fourier Series coefficients and simplify the expression to its simplest form.
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...
Consider the signal at right. a) Based on the plot, what is the fundamental period of this signal? b) From the fundamental period, compute the fundamental frequency in Hertz. c) This signal was computed from the equation What is the fundamental circular frequency, oo? d) If this signal is passed through a first-order low- pass filter with corner frequency of 0.2 Hz, write an expression for the output of the filter. e) Plot the original signal and the filtered signal...
Consider the signal at right. a) Based on the plot, what is the fundamental period of this signal? b) From the fundamental period, compute the fundamental frequency in Hertz. c) This signal was computed from the equation What is the fundamental circular frequency, oo? d) If this signal is passed through a first-order low- pass filter with corner frequency of 0.2 Hz, write an expression for the output of the filter. e) Plot the original signal and the filtered signal...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2.1, determine both the DC coefficient ao and a general expression for the other Fourier series coefficients ak. Do this by hand, not in Matlab. Show all your work in your lab report. You can add these pages as hand-written pages, rather than typing them in to your lab report, if you prefer Hint 1: It will be easiest to integrate this function from...
a) Find the analytic expression for the zero frequency ("D.C.")
Fourier series coefficient, c0, as a function of the
duty cycle D between 0 and 1.
b) Find the analytic expression for the absolute value of the
first Fourier series coefficient, c1, a function of the
duty cycle D between 0 and 1. At what value of the duty cycle is
the magnitude of the coefficient maximized?
f(t) is a periodic square wave with variable duty cycle, D, where D...
Consider the periodic signal x(t) shown in the Figure below: x(t) . 3 2 0 1 2 3 4 5 6 t A. Determine the fundamental period T and the fundamental frequency wo. B. Compute the Fourier Series coefficients and simplify the expression to its simplest form.
4. (20 points) Consider the periodic signal r(t) shown in the Figure below: x(t) 3 2 N VAA 0 1 2 3 4 5 6 A . Determine the fundamental period T and the fundamental frequency wo. B. Compute the Fourier Series coefficients and simplify the expression to its simplest form.
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