Sketch the following equations:
I. X(n) = ??
(n) - ??
(n-3) – 4U
II. X(n) = U(n)- U(n+4) + ∂ (n-3)
III. X(n) = 2
?
[U(n)- U(n-6)]
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Sketch the following equations: I. X(n) = ?? (n) - ?? (n-3) – 4U II. X(n) = U(n)- U(n+4) + ∂ (n-3) III. X(n) = 2 ? [U(n)- U(n-6)]
Sketch the following equations:I. \(\quad \mathrm{X}(\mathrm{n})=U_{r}(\mathrm{n})-U_{r}(\mathrm{n}-3)-4 \mathrm{U}\)II. \(\quad X(n)=U(n)-U(n+4)+\partial(n-3)\)III. \(\mathrm{X}(\mathrm{n})=2^{n}[\mathrm{U}(\mathrm{n})-\mathrm{U}(\mathrm{n}-6)]\)
Convolve the following functions
»i)(3pts)x(n) (i) u(n) and hn) -(G)u(n) »ii) (4pts)x(n) -(G) u(n -3) and h(n) - ()u(n-5) xiv) (Spts)x(n) -u(n) and h(n) -(u(n- 1)-() u(n-3)(Note that u(n), is unit step function, this is step response). xv)(Spts)x(n)- () u(n) and hn) -(G)un-1)-(j) u(n-3) xvi) (Spts)xn) G)u(n - 4) and hn) -(u(n-4)
Sketch the following discrete equations. Include 3 non-zero
numeric values.
n a) x(n) = (5) a(n) b) x(n) = (-+)" u(n) c) x(n) = (2)" u(-n-1)
i. y[n + 1] + 1.5y[n] = x[n] ii. y[n + 1] + 0.8y[n] = x[n] iii. y[n + 1] -0.8y[n] = x[n] compute y[n] = for n = 0, 1, 2, when x[n] = u[n] and y[-1] = 0, for the following equations.
3 (i) Sketch y= 2* and y=x+2 on the same axes. (ii) Use your sketch to deduce the number of roots of the equation 2* = x+2. (iii) Find each root, correct to 3 decimal places if appropriate.
1. Let X~b(x; n, p) (a) For n 6, p .2, find () Prx> 3), (ii) Pr(x23), (ii) Pr(x (b) For n = 15, p= .8, find (i) Pr(X-2), (ii) Pr(X-12), (iii) Pr(X-8). (c) For n 10, find p so that Pr(X 2 8)6778. く2). 2. Let X be a binomial random variable with μ-6 and σ2-2.4. Fin (a) Pr(X> 2) (b) Pr(2 < X < 8). (c) Pr(Xs 8).
1. Let X~b(x; n, p) (a) For n 6, p...
For the following equations (i) Find the equilibrium points for any le(-00,00). (ii) Sketch the phase line diagram for the indicated. (iii) Find the bifurcation point and sketch the bifurcation diagram. (iv) State if the bifurcation is a saddle-node, transcritical, pitchfork, or none of these. (a) x' = x2 (1+ 24); 1=1, 1=-1.
(a) Based on the following discrete-time signal x[n], [n] →n -2 -1 0 1 2 3 4 i. [5%] determine the Fourier transform (i.e., X(ein)) and sketch the magnitude spectrum. ii. [4%] Given the following signal Xp[n], which is the periodic version of x[n] with period 4. Derive the Fourier series coefficients of yn], i.e., {ax}. xp[n] -1 1 2 3 4 5 iii. [4%] Hence, derive the Fourier transform of ap[n], i.e., Xp(es"). iv. [5%] Based on the results...
*Digital Signal Processing Question* Let x(n)=u(-n+3)-u(-n-4). Sketch the even and odd parts of x(n).
6. Given the following equations: (i) C + A3+ → C++ A (ii) 3 D + C+ 3 D* + C (iii) B + 2 D B 2+ + 2 D goes Arrange the elements A, B, C, and D from the strongest to weakest reducing agent. goes goes