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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)....
8) Convolution Integral (7 points). Given the following signals x(t) and h(t), compute and plot the...
8) Convolution Integral (7 points). Given the following signals x(t) and h(t), compute and plot the convolution y(t) = x(t) *h(t). x(t) = u(t+2) - u(t – 4) h(t) = 5u(t)e-2t
2.4. Compute and plot y[n] - x[n] * h[n], where x[n] - 0, otherwise 1. 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]
4. Convolution EX4. The input X(t) and impulse response h(t) for a system are given. Using...
4. Convolution EX4. The input X(t) and impulse response h(t) for a system are given. Using convolution evaluating the system output y(t). X(t)=1 O<t1 h(t)=sin pi*t 0<<2 =0 else where =0 elsewhere Xit) ↑ hlt) E mer
x[n] = 9n u[n] h[n] = -7n u[n] Compute the convolution y[n]=x[n]∗h[n]. Choose the answer below...
x[n] = 9n u[n] h[n] = -7n u[n] Compute the convolution y[n]=x[n]∗h[n]. Choose the answer below which corresponds to {y[0],y[1],y[2],y[3]}
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot...
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot y'() c) Plot y(2t-3) d) calculate the energy of y(t) note: r(t) = t for t 0 and 0 for t < 0 Problem 2: Let x(t)s u(t)-u(t-2) and y(t) = t[u(t)-u(t-1)] a) b) plot x(t) and y(t) evaluate graphically and plot z(t) = x(t) * y(t) Problem 3: An LTI system has the impulse response h(t) = 5e-tu(t)-16e-2tu(t) + 13e-3t u(t) The input...
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n)...
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n) = [1 2 1] for 0 <n<2. If the input to the system is x(n) = u(n)-un-2) where u(n) is the unit-step, calculate the output of the system y(n) analytically. Check your answer using the "conv" function in MATLAB. 5. Consider an LTI system with an impulse response h(n) = u(n) where u(n) is the unit-step. (a) If the input to the system is...
2 (20 marks) Consider the signals: x(t)=u(1+1)-n(1-1), a) Plot x(20) andrespectively (b) Calculate the following convolution,...
2 (20 marks) Consider the signals: x(t)=u(1+1)-n(1-1), a) Plot x(20) andrespectively (b) Calculate the following convolution, (a)Plot x(21) and«S),respectively. (c) Plot the following signal
Problem 1 Use the convolution integral to find the zero-state response for x(t)-u(t), and h(t)- eu(t)
Problem 1 Use the convolution integral to find the zero-state response for x(t)-u(t), and h(t)- eu(t)
2. Using direct convolution (i.e., the integral), determine the convolution between r(t) and h(t), where h(t)...
2. Using direct convolution (i.e., the integral), determine the convolution between r(t) and h(t), where h(t) and r(t) are defined as (note: please do NOT just plug in the formulas we derived in the class): h(t) exp(-2t) u (t) and x(t) = exp(-t)u(t), u(t) is the unit step function. h(t) exp(-t)u (t) and r(t)= exp(-t)u(t)
Consider the continous time signal x(t) - u(t) where u(t) is the unit step, sampled at a sampling period Ts- 1/4 to produce a discrete time signal rn] (a) Plot the signal r[n] over an appropriate int...
Consider the continous time signal x(t) - u(t) where u(t) is the unit step, sampled at a sampling period Ts- 1/4 to produce a discrete time signal rn] (a) Plot the signal r[n] over an appropriate interval (b) Compute and plot the short term energy for 10 successive blocks using a rectangular window of width 4 (c) Compute and plot the Zero Crossing Rate for 10 successive blocks using a rectangular window of width 4
Consider the continous time signal...
8) Convolution Integral (7 points). Given the following signals x(t) and h(t), compute and plot the convolution y(t) = x(t) *h(t). x(t) = u(t+2) - u(t – 4) h(t) = 5u(t)e-2t
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]
4. Convolution EX4. The input X(t) and impulse response h(t) for a system are given. Using convolution evaluating the system output y(t). X(t)=1 O<t1 h(t)=sin pi*t 0<<2 =0 else where =0 elsewhere Xit) ↑ hlt) E mer
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot y'() c) Plot y(2t-3) d) calculate the energy of y(t) note: r(t) = t for t 0 and 0 for t < 0 Problem 2: Let x(t)s u(t)-u(t-2) and y(t) = t[u(t)-u(t-1)] a) b) plot x(t) and y(t) evaluate graphically and plot z(t) = x(t) * y(t) Problem 3: An LTI system has the impulse response h(t) = 5e-tu(t)-16e-2tu(t) + 13e-3t u(t) The input...
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n) = [1 2 1] for 0 <n<2. If the input to the system is x(n) = u(n)-un-2) where u(n) is the unit-step, calculate the output of the system y(n) analytically. Check your answer using the "conv" function in MATLAB. 5. Consider an LTI system with an impulse response h(n) = u(n) where u(n) is the unit-step. (a) If the input to the system is...
2 (20 marks) Consider the signals: x(t)=u(1+1)-n(1-1), a) Plot x(20) andrespectively (b) Calculate the following convolution, (a)Plot x(21) and«S),respectively. (c) Plot the following signal
Problem 1 Use the convolution integral to find the zero-state response for x(t)-u(t), and h(t)- eu(t)
2. Using direct convolution (i.e., the integral), determine the convolution between r(t) and h(t), where h(t) and r(t) are defined as (note: please do NOT just plug in the formulas we derived in the class): h(t) exp(-2t) u (t) and x(t) = exp(-t)u(t), u(t) is the unit step function. h(t) exp(-t)u (t) and r(t)= exp(-t)u(t)
Consider the continous time signal x(t) - u(t) where u(t) is the unit step, sampled at a sampling period Ts- 1/4 to produce a discrete time signal rn] (a) Plot the signal r[n] over an appropriate interval (b) Compute and plot the short term energy for 10 successive blocks using a rectangular window of width 4 (c) Compute and plot the Zero Crossing Rate for 10 successive blocks using a rectangular window of width 4
Consider the continous time signal...
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