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A periodic signal x(t) is shown below. We want to find the Fourier Series representation for...
Determine the trigonometric Fourier series coefficients an and bn for signal x(t) sin(3m + 1) + 2 cos(7m-2) . Determine also the signal's fundamental radian frequency wo. No integration is required to solve this cos( ( ? problem
Prob. 2 Discrete-Time Fourier Series (DTFs) (a) A periodic signal, rin] is shown below. Use the analysis equation to determine the discrete-time Fourier Series (DTFS) coefficients, a. Express the a in terms of cosines [72] -2 N= -3 (b) Sketch the spectrum, as vs. k for -5Sk s5. Please note each value. ak 2 5 Prob. 2 (cont.) -Discrete-Time Fourier Series (CTFS) (c) A periodic signal rafnl is given below. a2In] 2 1 E -3 what is the fundamental period...
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)
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
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.
20 points) Consider the periodic signal z(t) shown in the Figure below: X(t) 3 2 N. 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.
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...
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.
4. (20 points) Consider the periodic signal z(t) shown in the Figure below: x(t) 1 1 3 2 - - 1 1 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.