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1.4. Let x[n] be a signal with x[n] = 0 for n < -2 and n > 4. For each signal given below, determine the values of n for which it is guaranteed to be zero. (a) xịn - 3] (b) x[n+ 4] (c) x[-n] (d) x[-n+2] (e) x[-n-2] 1.5. Let x(t) be a signal with x(t) = 0 for t <3. For each signal given below, determine the values of t for which it is guaranteed to be zero....
Problem 1 (10): Let x[n] be a signal with x[n] = 0 for n < -2 and n > 4. For each signal below, determine the value of n for which it is guaranteed to be zero. a. x[n + 2] b. x[n - 1] c. x[-n] d. x[-n - 2] e. x[n/2] f. x[n + 1]
Consider a signal x(t) which is given as 1 x(t) - 2 <t<2 2 0, otherwise a) Sketch x(t) b) Sketch 3x(t – 1) c) Sketch – 2x(-t - 1) Identify all labels and amplitudes to get the whole score.
v(n 6. 0.3 -02 0 0 0.2 0.3 Let x For the signal >o) diagramed, determine analytically z(t)-x(,) ⓧy(1). Sketch z(1) as a function of 1.
solve the PDE
+u= at2 on 3 € (0,L), t > 0, with boundary conditions au 2x2 u(0,t) = 0, u(L, t) = 0 au and initial condition u(x,0) = f(x), at (x,0) = g(x) following the steps below. (a) Separate the variables and write differential equations for the functions (x) and h(t); pick the separation constant so that we recover a problem already studied. (b) Find the eigenfunctions and eigenvalues. (c) Write the general solution for this problem. (d)...
U 1.1. Express each of the following complex numbers in Cartesian form (x + jy): bej, ke-ja, eja/2, e-ju/2, 359/2, 2ej#14, 2e396/4, 2e-39714, 2e-ja14 Express each of the following complex numbers in polar form (reje, with - 1 < 0 = T):5.-2-3;, ; - ; 3.1+j, (1 - i)?, j(1 - 1)(1+j)/(1-j), (/2 + ;/2) (1 + 1/3). Determine the values of P. and E. for each of the following signals: (a) xi(t) = e-2u(t) (b) x2(t) = el(21+ 7/4)...
1. The signal x[n] is defined in the figure shown below. Let y[n] be the first backward difference of x[n] and let z[n] be the accumulation of In Assume that xlnl is zero for alln> IN) a) What is the value of y[4]? b) What is the value of z[6]?
ffset sawtooth wave x(t). 1-7 A binary signal x(t) = 0 for t <0. For posi- tive time, x(t) toggles between one and zero as follows: one for 1 second, zero for 1 second, one for 1 second, zero for 2 seconds, one for 1 1-11 second, zero for 3 seconds, and so forth. That is, the "on" time is always one second but the “off” time successively increases by one sec- ond between each toggle. A portion of x(t)...
For all parts of this problem, let z(t) be the signal shown below. (Note that x(t) is defined by: x(t) = 3 - t for 0 <t <3; (t) = 0, otherwise.) 3 x(t) to i à (a) (6 points) Find the values of: (i) ſo r(t)8(t – 1)dt (ii) x(t)(t – 1)dt. (b) (6 points) Plot the signal y(t) defined by y(t) = x(r – 2)8(t – r)dr. (c) (6 points) Find the energy in x(t). (d) (7 points)...
5.1 Let fx(x) be given as fx(x) = Ke-x"Au(x), where A = (1, ..., I T with li > O for all i, x = (21,...,27), u(x) = 1 if r;>0, i=1,...,n, and zero otherwise, and K is a constant to be determined. What value of K will enable fx(x) to be a pdf? diena - co ma wana internetow