Find the exponential-form Fourier series for the periodic function shown below. gt)
1. Compute the trigonometric Fourier series and exponential Fourier series for the periodic signals shown below. ANNA 6 -4 4 / X(t) e1/10 (b)
Q1) For the periodic signals x() and ) shown below: x(t) YCO y(t) a) Find the exponential Fourier series for x(t) and y). b) Sketch the amplitude and phase spectra for signal x(). c) Use Parseval's theorem to approximate the power of the periodic signal x() by calculating the power of the first N harmonics, such that the strength of the Nth harmonic is 10% or more of the power of the DC component. Q1) For the periodic signals x()...
For the periodic function below find the as, a, and bi coefficients in the Fourier series expansion. (20 points) 0
Consider the Fourier series for the periodic function: x(t)= 3 + 5cos t +6 sin (2t) a.) Find the Fourier Coefficients of the exponential form b.) Find the Fourier Coefficients of the combined trigonometric form c.) Find the normalized average power using the Fourier series coefficient d.) Sketch the one sided Power Spectral Density
2. For each of the periodic signals shown below, (a) Compute the exponential Fourier-series. (b) Sketch the magnitude and phase spectra for - 55ns5. Compute the relative error due to truncation when only 11 terms (-5S S5) in the series expansion are kept. *** WAN_ + 1 + 3 + 5 0 2 4 *_ _ 0 2 4 6
Show all steps 1a) Find the exponential Fourier series for a periodic signal
Consider the Fourier Series for the periodic function: x(t) = 4+ 4 cos(5t)+ 6 sin (10t) a.) Find the Fourier coefficients of the exponential form. b.) Find the Fourier Coefficients of the combined trigonometric form. c.) Sketch the one-sided power spectral density
4. Consider the Fourier series for the periodic function given below: x(t) = 3 + 5Cost + 6 Sin(2t + /4) Find the Fourier coefficients of the combined trigonometric form for the signal.
2. Calculate the exponential Fourier series representation of the periodic function f(t) graphed below. Each arrow in the figure is a Dirac Delta function (two are indicated as examples): 1.20 1.00 0.80 0.60 1 5 (t) 5(-3) 0.40 LLLLLLLLLLLLL 0.20 0.00 -2 -1 0 1 2 3 4 5 6 7
. Find the amplitude-phase form of the Fourier series of the time function below by hand. Show your work and box your answer. f(t)=-2t for -0.5<t<0 and f(t)=2t for 0<t<0.5. f(t) is periodic with period T=1.