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For a signal representation shown graphically, it can be represented in terms of some basic signals...
Digital Signal Processing (EEC 4963) Assignment 1 Discrete-Time Signals Express the signal 1. 1, 3sns-1 71 elsewher...
Digital Signal Processing (EEC 4963) Assignment 1 Discrete-Time Signals Express the signal 1. 1, 3sns-1 71 elsewhere 0, using each of the following representation methods (a) Graphical representation. (b) Sequence representation. (c) In terms of the unit sample function, δ[n], unit step function, u[n], and the unit ramp function, r[n].
Digital Signal Processing (EEC 4963) Assignment 1 Discrete-Time Signals Express the signal 1. 1, 3sns-1 71 elsewhere 0, using each of the following representation methods (a) Graphical representation. (b) Sequence...
Q1. The signal x(t) shown in Figure Q1 is zero except as shown. [No Partial Credit]...
Q1. The signal x(t) shown in Figure Q1 is zero except as shown. [No Partial Credit] x(t) 2 1 -1 0 1 2 3 4 5 t Figure Q1 Clearly indicate the significant points in the time axis and y-axis. a) Plot x(t + 2) b) Plot x(2t - 3) c) Plot x(2-t) [2 marks) [2 marks] [2 marks]
1. Consider the signal represented in Figure 1. a) Write an analytical formula to represent the...
1. Consider the signal represented in Figure 1. a) Write an analytical formula to represent the signal x(t). b) Consider the signal x(t). For each of the following combinations, draw the signal and indicate its duration, extension and area: Xa(t) = x(t – 3); xo(t) = x(2t); Ic(t) = x(-3(t + 1)); Id(t) = 2x(2t) – x(t) – 2x(-(t + 4)); Le(t) = xd(t) + rect(476). c) Compute the Fourier transform of r(t). AX(t) 2 1 2 5 7 t...
A periodic signal x(t) is shown below. We want to find the Fourier Series representation for...
A periodic signal x(t) is shown below. We want to find the Fourier Series representation for this signal. x(t) AA -4 -2 1 2 4 6 8 (a) Find the period (T.) and radian frequency (wo) of (t). (b) Find the Trigonometric Series representation of X(t). These include: (a) Fourier coefficients ao, an, and bn ; (b) complete mathematical Fourier series expression for X(t); and (c) first five terms of the series.
Signal x(t) is given in the figure below. Using this information, sketch the following signals (MATLAB...
Signal x(t) is given in the figure below. Using this information, sketch the following signals (MATLAB is not required) 5 4 1 0 2345 a) x(t 3) b) x(t +3) c) x(2t +3)
2. For the signal shown in figure, draw the following signals x(t) 2 1 -1 0...
2. For the signal shown in figure, draw the following signals x(t) 2 1 -1 0 1 2 a. x(t-5) b. x(2t+1) C. x(6-t) d. x(-t-2) e. [x(t)+x(-t)Ju(t) 3. Given x[n]=(6-1)[[n] -u[n-6]], draw the following signals a. X[n+3] b. X[3n+1] c. X[6-n) d. x 4. Draw the following signals a. X(t)=u(sin st) b. X(t)=u(t+1)-2u(t)+u(t-1) c. X(t)=r(++4)-r(1+2)+u(t)-3r(1-4)+3r(1-5) d. x(t)=2u(t)-u(1-2)+1(1-3)-2r(1-4)+2r(1-5)
Am (t) → volt) Figure Q1 R = 10, L = H, C = F Q1(a)...
Am (t) → volt) Figure Q1 R = 10, L = H, C = F Q1(a) [2 marks] The transfer function for the circuit in Figure V.(s)__ LC Vin(5) sz+s+ + Form the corresponding differential equation that governs the behaviour of the system Q1(b) [4 marks] Determine a state-space representation for the circuit in Figure Q1 with the states selected as x;(6) v.) and x2(t) = 1,t). Show that it is equal to the following 408 J18+) y(t) = [1...
2. Categorise each of the following signals as either an energy or power signal, and find...
2. Categorise each of the following signals as either an energy or power signal, and find the energy or power of the signal. (12 marks a) *(t) = 5 cos 2nft. - <t <co b) x[n] = 2e/3n c) *(t) = cos(t) + 5cos 2t ,- <t< W d) *(t) = {Acos 2nft - To/2st ST,/2, where To = 1/5 otherwise
Kindly provide calculation and show each step. Thanks (a) Given the signal x(t) in Figure 2,...
Kindly provide calculation and show each step. Thanks
(a) Given the signal x(t) in Figure 2, sketch the signal for: xit) 12 10 - 2- 0.2 0.4 0.6 2 14 1.6 1.8 2 0.8 Figure 2 i. x(t+2) [4 Marks] ii. x(t/3) [4 Marks] iii. x(2t) [4 Marks] iv. -X(t) [4 Marks] (b) Given the signal x(t) in Figure 3, sketch the signal for x-(2t-2): xit 25 2 1.5 1 0.5 -0.5 0.5 1 1.5 2 2.5 3.5 Figure 3...
(b) Based on Figure Q3(b), give the expression for signal x(t) in unit step function. From...
(b) Based on Figure Q3(b), give the expression for signal x(t) in unit step function. From your obtained expression, find the Fourier transform of x(t). Then compare your answer using the formula of Fourier transform. x(t) 10 5 t 0 Figure Q3(b) [9 marks]
Digital Signal Processing (EEC 4963) Assignment 1 Discrete-Time Signals Express the signal 1. 1, 3sns-1 71 elsewhere 0, using each of the following representation methods (a) Graphical representation. (b) Sequence representation. (c) In terms of the unit sample function, δ[n], unit step function, u[n], and the unit ramp function, r[n].
Digital Signal Processing (EEC 4963) Assignment 1 Discrete-Time Signals Express the signal 1. 1, 3sns-1 71 elsewhere 0, using each of the following representation methods (a) Graphical representation. (b) Sequence...
Q1. The signal x(t) shown in Figure Q1 is zero except as shown. [No Partial Credit] x(t) 2 1 -1 0 1 2 3 4 5 t Figure Q1 Clearly indicate the significant points in the time axis and y-axis. a) Plot x(t + 2) b) Plot x(2t - 3) c) Plot x(2-t) [2 marks) [2 marks] [2 marks]
1. Consider the signal represented in Figure 1. a) Write an analytical formula to represent the signal x(t). b) Consider the signal x(t). For each of the following combinations, draw the signal and indicate its duration, extension and area: Xa(t) = x(t – 3); xo(t) = x(2t); Ic(t) = x(-3(t + 1)); Id(t) = 2x(2t) – x(t) – 2x(-(t + 4)); Le(t) = xd(t) + rect(476). c) Compute the Fourier transform of r(t). AX(t) 2 1 2 5 7 t...
A periodic signal x(t) is shown below. We want to find the Fourier Series representation for this signal. x(t) AA -4 -2 1 2 4 6 8 (a) Find the period (T.) and radian frequency (wo) of (t). (b) Find the Trigonometric Series representation of X(t). These include: (a) Fourier coefficients ao, an, and bn ; (b) complete mathematical Fourier series expression for X(t); and (c) first five terms of the series.
Signal x(t) is given in the figure below. Using this information, sketch the following signals (MATLAB is not required) 5 4 1 0 2345 a) x(t 3) b) x(t +3) c) x(2t +3)
2. For the signal shown in figure, draw the following signals x(t) 2 1 -1 0 1 2 a. x(t-5) b. x(2t+1) C. x(6-t) d. x(-t-2) e. [x(t)+x(-t)Ju(t) 3. Given x[n]=(6-1)[[n] -u[n-6]], draw the following signals a. X[n+3] b. X[3n+1] c. X[6-n) d. x 4. Draw the following signals a. X(t)=u(sin st) b. X(t)=u(t+1)-2u(t)+u(t-1) c. X(t)=r(++4)-r(1+2)+u(t)-3r(1-4)+3r(1-5) d. x(t)=2u(t)-u(1-2)+1(1-3)-2r(1-4)+2r(1-5)
Am (t) → volt) Figure Q1 R = 10, L = H, C = F Q1(a) [2 marks] The transfer function for the circuit in Figure V.(s)__ LC Vin(5) sz+s+ + Form the corresponding differential equation that governs the behaviour of the system Q1(b) [4 marks] Determine a state-space representation for the circuit in Figure Q1 with the states selected as x;(6) v.) and x2(t) = 1,t). Show that it is equal to the following 408 J18+) y(t) = [1...
2. Categorise each of the following signals as either an energy or power signal, and find the energy or power of the signal. (12 marks a) *(t) = 5 cos 2nft. - <t <co b) x[n] = 2e/3n c) *(t) = cos(t) + 5cos 2t ,- <t< W d) *(t) = {Acos 2nft - To/2st ST,/2, where To = 1/5 otherwise
Kindly provide calculation and show each step. Thanks
(a) Given the signal x(t) in Figure 2, sketch the signal for: xit) 12 10 - 2- 0.2 0.4 0.6 2 14 1.6 1.8 2 0.8 Figure 2 i. x(t+2) [4 Marks] ii. x(t/3) [4 Marks] iii. x(2t) [4 Marks] iv. -X(t) [4 Marks] (b) Given the signal x(t) in Figure 3, sketch the signal for x-(2t-2): xit 25 2 1.5 1 0.5 -0.5 0.5 1 1.5 2 2.5 3.5 Figure 3...
(b) Based on Figure Q3(b), give the expression for signal x(t) in unit step function. From your obtained expression, find the Fourier transform of x(t). Then compare your answer using the formula of Fourier transform. x(t) 10 5 t 0 Figure Q3(b) [9 marks]
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