Signals and system Class 2.15 Compute the following convolutions without computing any integrals (b) 11(1) *...
-1, 0,. . . 2.15 Perform the following convolutions: a. y(n) [(n)-25 (n 3)]* u (n+1) b. y(n) a"u(n) [6 (n+ 1)- a2 (n 1)] c. y(n) a"u(n) a "u(-n) d. y(n) (1)"[u(n)-u(n-5)] u(n+3)
4. Compute and plot the results of each of the following convolutions: (a) ut) u(t- 2) (b) a(t-1)、n(t-2) (d) u2) ut) t- 2)] (e) u2) [ul) - u(t - 2)]
Classify the following signals whether are energy signals, power signals or neither by computing their energy and power: 2. a. (10 points) x1(t)=2cos(2n10t)+3cos(2n20t) 1 < t otherwise (10 points) the periodic signal x3 (t) as shown by the figure below: t + 2 3 b, (10 points) X2(t) = c. x3 (t) 2 -2-1 0 2 3 t(s)
ЕЕ306 HW2 Problem 1 Compute graphically and plot x[n] * h[n] and x[n] * h[n] (convolutions) for (a). Find a way to derive x[n] h[n] and x[n] * h[n] for (b) without any computation, by using your result of (a) and the properties of convolution. State which property you use. 0 1 23 0123456 n (a) hpl 3-2-10 1 23 2 3 45 (b) Notation: In the following problems, x[n]={a, b,c} means thatx[-11-a, x[0]=b , x[1]=c and x[n]=0 otherwise. Problem...
Please help with the following problem. It is for a continuous
and discreet course! Thanks
2. Consider the following signals a)-c). Without computing anything explicitly, classifjy the signal as energy, power, or neither. Briefly justify your answers. 0.8 0.6 0.4 0.2 0 10 10 0.5 0.5 10 0 10 1,000 500 500 1,000 10 10 0
2. Consider the following signals a)-c). Without computing anything explicitly, classifjy the signal as energy, power, or neither. Briefly justify your answers. 0.8 0.6...
Problem 1 Compute graphically and plot x[n] *h[n] and x[n] *h[n] (convolutions) for (a). Find a way to derive x[n] *h[n] and x[n] * ñ[n] for (b) without any computation, by using your result of (a) and the properties of convolution. State which property you use. 0 1 2 3 4 5 6 | * 3-2-10 1 2 3 Notation: In the following problems, x[n]={a.b.c) means that_x[-1)=a, x[0]=b, x[1]=c and x[n]=0 otherwise.
Compute the DTFTs for the following signals. In a. x[n] = (3)" u[-n – 1] b. x[n] = 2” sin (n)u[-n]
Convolution Integrals. For part A the solution I got was
t*exp(z*t) and for part B the solution I got was (exp(z2*t) -
exp(z1*t))/(z2-z1). I need help with the third part of the question
calculating (f * f)(t) without computing any integrals.
f(t -s)g(s)ds by hand for (a) and (b) below Calculate (a) f(t) g(t) = et where z is a constant e21t and g(t) e22t where z1 and z2 are constants (b) f(t) Use your results from parts (a) and...
3.5 Determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t): 11) X (İİİ) x(1) = 11(1)-211(1-1) + 11(1-2), h(1) = 11(1 + 1)-11(t-1); Part lI Continuous-time signals and systems (iv) x(t) - e2"u(-t), h(t)-eu(); (v) x(t)-sin(2tt)(u(t _ 2) _ 11(1-5)), h (t) = 11(1) _ II(ț-2); (vi) x(t) = e-圳, h(t) = e-51,1. (vii) x(1)= sin(t)11(1), h(1) = cos(t)11(1).
3.5 Determine the output y(t) for the following pairs of input signals x(t) and...
3) (Symmetries and Fourier Coefficients) Compute the Fourier Series Coefficients a, b and XTk] for the following periodic repeating signals. Where appropriate, simplify the results for odd or even values of k. Note: You can not use the half-wave symmetry integrals if the half-wave symmetry is "hidden" (i.e. if there is a DC offset).] xft) Signal i x(t) Signal5 x(t) Signal 4 aeP O80 0.5 -1 4 8 I 2 4
3) (Symmetries and Fourier Coefficients) Compute the Fourier Series...