consider the function f(x) = 2x exp (-j2rx). Provide labeled magnitude and phase plots of f...
QUESTION 2 Consider this 2" order transfer function which was discussed in lecture G(s) 10s+9 The Bode plots (magnitude, phase) for this G(s) are provided in this handout. For the following frequency (i.e."o") values, do complex number calculations as performed in lecture, to verify that this magnitude curve (in decibels) and phase curve (in degrees) are correct “o',-0.03, 0.2, 1, 6, 20, and 60 rad/sec Be sure to show your work CLEARLY, and indicate on the Bode plots the magnitude/phase...
1. (a) sketch the Bode magnitude and phase plots of a transfer function T(W) = Vo(w) given Wo = 27x1oʻrad/s. Vi (w) (l+ges/wo2 g (6) Calculate the half-power or 3-dB Cut-off frequency of the above transfer function, and the phase LT(W) at the 3-dB cut-off frequency.
7. On separate plots, carefully sketch the magnitude and phase (in degrees) of the signal y(t)--5exp(j4t) on the interval 0.0 < 0.2 seconds. On separate plots, carefully sketch the magnitude and phase (in degrees) of the signal y(t)--e , exp( 0.0 <t <0.2 seconds. 8. π) on the interval
For the following transfer function, sketch approximate
straight-line Bode plots, including magnitude and phase plots. Show
all steps clearly
10 4 (A)G(s)-7 s (s 2s +100)
Let f be the function defined by f(x) = 12 exp(x2 – 3x). The function exp(u) is another name for e". a) Find L(x) the linear approximation to f at 3. L(x) = help (formulas) b) Use the Linear Approximation for f(x) = 12 exp(x2 – 3x) at 3 to estimate f(3.08). f(3 + 0.08) help (decimals). c) Find the error in the linear approximation to the value of f(3 + 0.08) that we found in part b). The error...
3.Consider the following function where a is a positive constant exp(x / a) x<0 f(x) exp(-x/a) r >0 (a) Compute the area bounded by f(x) and the x-axis. Graph f(x) against x for a 2 and a 0.5. (b) Find the Fourier transform F(o) of f(x) (c) Graph F(o) against ω for the same two values of a mentioned (d)Explain what happens to f(x) and F(o) when a tends to zero. F(o) f(x)exp(-icox)dx
3.Consider the following function where a is...
1- For each transfer function below, sketch the Bode magnitude and phase plots, a) T(s) 3040S b) T(S) 30-405
Sketch the Bode magnitude and phase plots for the following transfer function: G(s)=- a fimction: G(9)= (s+2016+4) (s + 2)(+4)
For the transfer function, construct the bode plots for
magnitude and phase. Use copies of the semi-log paper on the second
page of this assignment. Also, a printable copy of the semi-log
paper can be found below. Use one sheet per problem. Indicate the
contributions from the factors of the transfer function with light
lines in pencil. These are called “guidelines”. Indicate the
graphical sum of the guidelines (the final bode plot) with heavier
lines in ink. You will find...
Let X1, ..., X, be a random sample with pdf defined as: f(x) = 2x exp{ –x?/0}, where > 0. The distribution of the MLE is: O None of the alternatives. o ên ~ Gamman,/n) Oô - Gammale, n/=) Oô - Exp(0) O 6 – Exp(9/1)