Homework Answers
Add Answer to:
GIven the signal s(t)- 3cos(2T30t1.5708) +4cos(2T210t 0.523599) find the Fourier series coefficients of the exponential representation Find the fundamental frequency radians Wo Give the indices and t...
l, f) is a periodic signal with period f(t)-n(t)-u(t-t/2 ) for 0 2π a.) Find the exponential Fourier series of f() and sketchf). What is the fundamental radian frequency. b.) Evaluate and sketch...
l, f) is a periodic signal with period f(t)-n(t)-u(t-t/2 ) for 0 2π a.) Find the exponential Fourier series of f() and sketchf). What is the fundamental radian frequency. b.) Evaluate and sketch |Dml, the magnitude of the Fourier series coefficients vs.o in the range of -4s n S4 c.) Evaluate and sketch the phase angle of D, vs. co in the same range (-4S n S4) d.) Find the signal average power e) Find the approximate average power of...
A periodic signal x(t) is shown below. We want to find the Fourier Series representation for...
A periodic signal x(t) is shown below. We want to find the Fourier Series representation for this signal. x(t) AA -4 -2 1 2 4 6 8 (a) Find the period (T.) and radian frequency (wo) of (t). (b) Find the Trigonometric Series representation of X(t). These include: (a) Fourier coefficients ao, an, and bn ; (b) complete mathematical Fourier series expression for X(t); and (c) first five terms of the series.
Given the Fourier Series cocfficients and fundamental frequency, find the signal using the Fourier Series synthesis...
Given the Fourier Series cocfficients and fundamental frequency, find the signal using the Fourier Series synthesis exquation. Assume all Ce not given are vero.) Put into cosine form where possible and state whether the signal is real-valued. (a) Lo - 8, C, EC-2- 3j, C% = e-j/4, C-6 - CT/4 (b) wo = 1/2, Co = 3, G = -2, C-1 = 2, C1 = 1, C-1 = -3
Find the Fourier series representation of the following periodic signal. The expressions for the coefficients, Dn,...
Find the Fourier series representation of the following periodic
signal. The expressions for the coefficients, Dn, and for the
Fourier series representation of x(t) must not contain complex
expressions (combine complex exponentials into sinusoids).
3 2.5 exp(t/2 1.5 0.5 -4
Problem 6: I7 Points For the following periodic signal, x(t) 4OSesi a) Express the signal exponent +cos(9t) +2cos(15t) al in complex exponential Fourier series form. 13 r series coefficients and...
Problem 6: I7 Points For the following periodic signal, x(t) 4OSesi a) Express the signal exponent +cos(9t) +2cos(15t) al in complex exponential Fourier series form. 13 r series coefficients and sketch the spectral line. [2 Find the fundamental frequency and identilY the harmonics in the signal. 12) Solution
Problem 6: I7 Points For the following periodic signal, x(t) 4OSesi a) Express the signal exponent +cos(9t) +2cos(15t) al in complex exponential Fourier series form. 13 r series coefficients and sketch the...
Problem 1 The complex exponential Fourier Series of a signal over an interval 0 < t S T,-2π/wo is...
Problem 1 The complex exponential Fourier Series of a signal over an interval 0 < t S T,-2π/wo is known to be (d) Suppose x(t) is the input to a stable, continuous-time, single-input/single-output LTI system whose impulse response is given by 9sine (wot/4 2 cos (u) Determine the output y(t) for -oo<t<oo. Answer: y(t)-4m 2r(1 +9π (2r(1+9r2) tan 1(3m) cos 9T
Problem 1 The complex exponential Fourier Series of a signal over an interval 0
Let x(t) = t, 0<t 1 and Fourier series coefficients a , be a periodic signal...
Let x(t) = t, 0<t 1 and Fourier series coefficients a , be a periodic signal with fundamental period of T 2 -t,-1t0 dz(t) a) Sketch the waveform of r(t)d3 marks) b) Calculate ao (3 marks) c) Determine the Fourier series representation of gt)(4 rks) d) Using the results from Part (c) and the property of continuous-time Fourier series to dr(t) determine the Fourier series coefficients of r(t) (4 marks)
The complex exponential Fourier series of a real even signal has non-zero coefficients for non- negative...
The complex exponential Fourier series of a real even signal has non-zero coefficients for non- negative k given by k a_k 0 2 1 3 2 -1 3 0.5 4 1 5 -2 a. What are the values for negative k? b. What is the energy in the fundamental frequency? What is the energy in the third and fourth harmonics? d. What is the Fourier series in terms of sines and cosine if 0, = 3? C.
2) The exponential Fourier series of a periodic signal x(t) is given as x(t) = (4...
2) The exponential Fourier series of a periodic signal x(t) is given as x(t) = (4 + j3)e-j6t + j3e-j4t + 2 - j3ej4t + (4 - j3) jót a) What is the fundamental frequency? b) By inspection write the signal x(t) in a compact trigonometric form. c) Find the power of the signal.
Problem 2: For the signal g(t) t, a) (25 points) Find the exponential Fourier series to...
Problem 2: For the signal g(t) t, a) (25 points) Find the exponential Fourier series to represent g(t) over the interval (-π, π). Sketch the spectra (amplitude and phase of Fourier series coefficients). b) (25 points) Find the average power of g(t) within interval (- ,r). Using this result and given that Σ00.-6, verify the Parseval's theorem
l, f) is a periodic signal with period f(t)-n(t)-u(t-t/2 ) for 0 2π a.) Find the exponential Fourier series of f() and sketchf). What is the fundamental radian frequency. b.) Evaluate and sketch |Dml, the magnitude of the Fourier series coefficients vs.o in the range of -4s n S4 c.) Evaluate and sketch the phase angle of D, vs. co in the same range (-4S n S4) d.) Find the signal average power e) Find the approximate average power of...
A periodic signal x(t) is shown below. We want to find the Fourier Series representation for this signal. x(t) AA -4 -2 1 2 4 6 8 (a) Find the period (T.) and radian frequency (wo) of (t). (b) Find the Trigonometric Series representation of X(t). These include: (a) Fourier coefficients ao, an, and bn ; (b) complete mathematical Fourier series expression for X(t); and (c) first five terms of the series.
Given the Fourier Series cocfficients and fundamental frequency, find the signal using the Fourier Series synthesis exquation. Assume all Ce not given are vero.) Put into cosine form where possible and state whether the signal is real-valued. (a) Lo - 8, C, EC-2- 3j, C% = e-j/4, C-6 - CT/4 (b) wo = 1/2, Co = 3, G = -2, C-1 = 2, C1 = 1, C-1 = -3
Find the Fourier series representation of the following periodic
signal. The expressions for the coefficients, Dn, and for the
Fourier series representation of x(t) must not contain complex
expressions (combine complex exponentials into sinusoids).
3 2.5 exp(t/2 1.5 0.5 -4
Problem 6: I7 Points For the following periodic signal, x(t) 4OSesi a) Express the signal exponent +cos(9t) +2cos(15t) al in complex exponential Fourier series form. 13 r series coefficients and sketch the spectral line. [2 Find the fundamental frequency and identilY the harmonics in the signal. 12) Solution
Problem 6: I7 Points For the following periodic signal, x(t) 4OSesi a) Express the signal exponent +cos(9t) +2cos(15t) al in complex exponential Fourier series form. 13 r series coefficients and sketch the...
Problem 1 The complex exponential Fourier Series of a signal over an interval 0 < t S T,-2π/wo is known to be (d) Suppose x(t) is the input to a stable, continuous-time, single-input/single-output LTI system whose impulse response is given by 9sine (wot/4 2 cos (u) Determine the output y(t) for -oo<t<oo. Answer: y(t)-4m 2r(1 +9π (2r(1+9r2) tan 1(3m) cos 9T
Problem 1 The complex exponential Fourier Series of a signal over an interval 0
Let x(t) = t, 0<t 1 and Fourier series coefficients a , be a periodic signal with fundamental period of T 2 -t,-1t0 dz(t) a) Sketch the waveform of r(t)d3 marks) b) Calculate ao (3 marks) c) Determine the Fourier series representation of gt)(4 rks) d) Using the results from Part (c) and the property of continuous-time Fourier series to dr(t) determine the Fourier series coefficients of r(t) (4 marks)
The complex exponential Fourier series of a real even signal has non-zero coefficients for non- negative k given by k a_k 0 2 1 3 2 -1 3 0.5 4 1 5 -2 a. What are the values for negative k? b. What is the energy in the fundamental frequency? What is the energy in the third and fourth harmonics? d. What is the Fourier series in terms of sines and cosine if 0, = 3? C.
2) The exponential Fourier series of a periodic signal x(t) is given as x(t) = (4 + j3)e-j6t + j3e-j4t + 2 - j3ej4t + (4 - j3) jót a) What is the fundamental frequency? b) By inspection write the signal x(t) in a compact trigonometric form. c) Find the power of the signal.
Problem 2: For the signal g(t) t, a) (25 points) Find the exponential Fourier series to represent g(t) over the interval (-π, π). Sketch the spectra (amplitude and phase of Fourier series coefficients). b) (25 points) Find the average power of g(t) within interval (- ,r). Using this result and given that Σ00.-6, verify the Parseval's theorem
Most questions answered within 3 hours.
-
Assume one of your finals has 50 questions on it, and
lucky for you, it's all...
asked 49 minutes ago -
Rice Products in Bangladesh
Business behavior is derived in large part from the basic cultural
environment...
asked 2 hours ago -
The following base sequence is found for a mRNA fragment from
wild-type E. coli: 5'- UAUCAGUAGAUAAUGUAACC-3'...
asked 2 hours ago -
For this exercise, round all regression parameters to three
decimal places.
One of the two tables...
asked 2 hours ago -
What is the 5% level of significance for mean = 3.60, standard
deviation = 0.94, and...
asked 2 hours ago -
Prior to beginning work on this discussion, please read the
article by Hayley Peterson, 15 Companies...
asked 3 hours ago -
Which pair of aqueous solutions, when mixed, will form a
precipitate?
A) NaNO3 and AgC2H3O2
B)...
asked 3 hours ago -
1-Write an algorithm to get two numbers from the user (as
inputs) and calculate the sum...
asked 7 hours ago -
Define white-collar crime. What is the difference between
offender and offense-based definitions of white-collar crime? What...
asked 7 hours ago -
Consider a reaction which is 1st order with respect to A and 1st
order with respect...
asked 7 hours ago -
c++
The length of the hypotenuse of a right-angled triangle is the
square root of the...
asked 7 hours ago -
When a metal rod is heated, not only its resistance but also its
length and cross‐sectional...
asked 8 hours ago