Problem:
Let x[n] = δ[n] + 2δ[n-1] - δ[n-2] and h[n] = u[n] – u[n-4] –
2.δ[n-1]. Compute and plot the following convolutions. If you use
the analytical form of the convolution equation to solve, verify
your answer with the graphical method.
a. y1[n] = x[n]*h[n]
b. y2[n] = x[n]*h[n+1]
c. y3[n] = x[n-1]*h[n]
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Problem: Let x[n] = δ[n] + 2δ[n-1] - δ[n-2] and h[n] = u[n] – u[n-4] –...
2.4. Compute and plot y[n] - x[n] * h[n], where x[n] - 0, otherwise 1. 4 sn s 15 0, otherwise h[n] = 2.6. Compute and plot the convolution y[n] - x[n] * h[n], where 2.1. Let x[n] = δ[n] + 2δ[n-1]-δ[n-3] and h[n] = 2δ[n + 1] + 2δ[n-l]. Compute and plot each of the following convolutions: (a) y [n] x[n] * h[n] (c) y3 [n] x[n] * h[n + 2]
PROBLEM 3 Let x[n] = δ[n] + 2δ[n-1]-δ[n-3] and h[n] = 2δ[n + 1] + 2δ[n-1]. Complete and plot the convolution y[n] = x[n] * h[n].
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.
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...
1. Let x(t)-u(t-1) _ u(t-3) + δ(t-2) and h(t)-u(t) _ u(t-1) + u(t-3)-u(t-5) a. Find and sketch x(t-t) and h(t). (Hint: Break x(t) into two signals) b. Find and sketch y(t) - x(t)*h(t) using the quasi-graphical method. Label and show every step (drawings and calculations)
2(a). Compute and plot the convolution of ytryh)x where h(t) t)-u(t-4), x(t)u(t)-u(t-1) and zero else b). Compute and plot the convolution y(n) h(n)*x (n) where h(n)-1, for 0Sns4, x(n) 1, n 0, 1 and zero else.
Prob. 5 (a) Let x(t) = u(t) and h(t) = e-looor u(t) + e-lotu(t). -00 <t< oo using graphical convolution(s). Determine y(t) = h(t) * x(t) for Prob. 5 (cont.) (b) Let zln] = uln] and h[n]-G)nuln] + (-))' hnnDetermine vinl -h) rin) for -00n< oo using graphical convolution(s) Prob. 5 (a) Let x(t) = u(t) and h(t) = e-looor u(t) + e-lotu(t). -00
a/ If the impulse response of an FIR filter is h[n] = δ[n] - 4δ[n-1] + δ[n-2], make a plot of the output when the input is the signal: x[n] = δ[n-2] - δ[n-4]. b/ Determine the frequency response, H(ω), and give the answer as a simple formula. c/ Determine the magnitude of H(ω) and present your answer as a plot of the magnitude vs frequency. Label important features.
Please solve all. Thank you Let Let x(n) = {2, 4, −3, 1, −5, 4, 7}. ↑ (arrow points to 1) Generate and plot the samples (use the stem function) of the following sequences. x(n) = 2 e 0.5 nx(n) + cos(0.1πn) x(n + 2), − 10 ≤ n ≤ 10 use these functions when solving please 1- function [y,n] = sigshift(x,m,n0) % implements y(n) = x(n-n0) % ------------------------- % [y,n] = sigshift(x,m,n0) % n = m+n0; y = x;...
1. Find (0.9 + j1.2)^0.3 and express it in the form a +jb. 2. Let x[n] = u[n+5] -u[n-2] and h[n] = u[n+3] - u[n-1]. Over what range of n will the convolution of x and h be non-zero?