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Use your bes judgement on where to place the tile 1. Submit plots of the following...
Problem 6. Consider the function y=(2m) sin ((10/s) t+π/4). Indicate whether each of the following waveforms...
Problem 6. Consider the function y=(2m) sin ((10/s) t+π/4). Indicate whether each of the following waveforms is equivalent to y? Briefly justify your answers. 1. (2 m) cos((10/s)1+π/4) 2. (2 m) cos((10/s) t +3r/4) 3. (2 m) cos((10/s) t-r/4) 4. (2 m) sin(10/s)t +/4+4T) 5.-(2 m) sin ((10/s)t+/4-3m) 6. (-2m) oos((10/s) t+12r/4) 7. (VZn) [cos((10/s) t) + sin((10/s)t)] 8. (2m) cos ((-10/s)t+r/4) m) 1-cos((10/s) t + π)-sin((10/s) t-π
3.11-For each of the following signals compute the complex exponential Fourier series by using tr...
3.11-For each of the following signals compute the complex exponential Fourier series by using trigonometric identities,and then sketch the amplitude and phase spectra for all values of k (a) x(t)-cos(5t-π/4) (b) x(t) sint+ cos t 756 Chapter & The Series and fourier Translorm 023 4 5 ibi FIGURE Pa P33 3.13 Problems 157 in 0 14 12 3 I) ain FIGURE ,3.3 (antísndj (c) sti)-cos(1-1) + sin(,-%) 3.12. Determine the exponential Fourier series tor the Following periodic signals
3.11-For each...
- Problem 6. Consider the function y2 m) sin ((10/s) t+π/4). lndicate whether each of the...
- Problem 6. Consider the function y2 m) sin ((10/s) t+π/4). lndicate whether each of the following waveforms is equivalent to y? Briefly justify your answers 1. (2 m) cos(10/s)t+/4) 2. (2 m) cos( (10/s)t+3 T/4) 3. (2m) cos( (10/s)t -/4) 4. (2 m) sin((10/ s) t + π/4 + 4 π) 5.-(2 m) sin ((10/s) t + π /4-3r) 6. (-2m) cos((10/s) t + 12n/4) 7. (v ฐ m) [cos((10/s) t) + sin((10/s) t)] 8. (2 m) cos ((-10/s)...
Write a MATLAB function with the following specifications: Input parameter 1: A Input parameter 2: B...
Write a MATLAB function with the following specifications: Input parameter 1: A Input parameter 2: B Input parameter 3: C Input parameter 4: D Output parameter: Sum of the input parameters Time interval: -2T lessthanorequalto t lessthanorequalto 2T Waveform 1 to plot: y(t) = A sin(B(t - c))+D Waveform 2 to plot: y(t) = A cos(B(t - c)) + D Display two plots in vertical fashion on one figure Include all labeling on both plots. Add a grid to both...
1. A LTI system has the frequency response function 0, all other o Compute the output y(t) resulting from the in put x(t) given by (a) x(t) -2-5cos(3t)+10sin(6t-jx/3)+4cos(12t-x/4) (b) x(t) = 1 + Σ-...
1. A LTI system has the frequency response function 0, all other o Compute the output y(t) resulting from the in put x(t) given by (a) x(t) -2-5cos(3t)+10sin(6t-jx/3)+4cos(12t-x/4) (b) x(t) = 1 + Σ- cos(2kt ) k-l (c) x(t) is the periodic pulse train signal shown below (repeats beyond the graph) 0.5 0.5 5 t (second) Hint: Refer to lecture 10 note. For (c), find the Fourier series coefficients of x(t) first.
1. A LTI system has the frequency response...
6. Plot the 3D surface and contour levels of the following function: z(x, y)cos(2y-x) sin(2x) such...
6. Plot the 3D surface and contour levels of the following function: z(x, y)cos(2y-x) sin(2x) such that-π x π and-r y < π [10 marks] 7. Create a 5 x 5 random matrix M6 with elements ranging from 10 to 33. Using indexing, define the following arrays: An array containing all elements of M6 that are greater than 3 and smaller 6 marks] An array containing all elements of M6 that are negative or between 29 and 33. 6 marks...
Make sure you show all working and describe each step in your calculations. 1. A signum function ...
signals and communications 2
Make sure you show all working and describe each step in your calculations. 1. A signum function is defined as sgn(t) = { 1、12 0 1 t<0 Plot and express this function in terms of the unit-step function. 5 marks/ Determine and plot the even and odd parts of the signal 2. x(t) (te-3 +2)u(t). 5 marks 3. If prove that y[n-m] = x[n-m] * h[n]. 5 marks 4. Assuming α > 0, plot the signal...
Consider the function f ( x ) = 4 π ( cos x 1 −...
Consider the function
f ( x ) = 4 π ( cos x 1 − cos 3 x 3 + cos 5 x 5 − cos 7 x 7
+ ⋯ ). Fire up a plotting program or spreadsheet, and plot this
over the range of x=0 to 4π. Do it one term at a time, so make four
plots: one with the first term, one with the first and second, the
next with one, two,...
HW 2-1. For the RLC circuit in HW 1-2, with the voltage source x(t) as the...
HW 2-1. For the RLC circuit in HW 1-2, with the voltage source x(t) as the 'input' and the loop current y(t) as the 'output' (20 pts) L=11 R=3.12 X(t) To-"000) 1) find its frequency response function H(w). (5 pts) 2) then, find its response to the following input signals, respectively 2-a) x(t)=8(t), (2 pts) 2-b) x(t)=u(t), (3 pts) 2-c) x(t)=sin(10t), (3 pts) 2-d) x(t)=2sin(10t)+cos(20t+1), (3 pts) 3) For the signals in 2), calculate the energy or the average power...
Problem 6. Consider the function y=(2m) sin ((10/s) t+π/4). Indicate whether each of the following waveforms is equivalent to y? Briefly justify your answers. 1. (2 m) cos((10/s)1+π/4) 2. (2 m) cos((10/s) t +3r/4) 3. (2 m) cos((10/s) t-r/4) 4. (2 m) sin(10/s)t +/4+4T) 5.-(2 m) sin ((10/s)t+/4-3m) 6. (-2m) oos((10/s) t+12r/4) 7. (VZn) [cos((10/s) t) + sin((10/s)t)] 8. (2m) cos ((-10/s)t+r/4) m) 1-cos((10/s) t + π)-sin((10/s) t-π
3.11-For each of the following signals compute the complex exponential Fourier series by using trigonometric identities,and then sketch the amplitude and phase spectra for all values of k (a) x(t)-cos(5t-π/4) (b) x(t) sint+ cos t 756 Chapter & The Series and fourier Translorm 023 4 5 ibi FIGURE Pa P33 3.13 Problems 157 in 0 14 12 3 I) ain FIGURE ,3.3 (antísndj (c) sti)-cos(1-1) + sin(,-%) 3.12. Determine the exponential Fourier series tor the Following periodic signals
3.11-For each...
- Problem 6. Consider the function y2 m) sin ((10/s) t+π/4). lndicate whether each of the following waveforms is equivalent to y? Briefly justify your answers 1. (2 m) cos(10/s)t+/4) 2. (2 m) cos( (10/s)t+3 T/4) 3. (2m) cos( (10/s)t -/4) 4. (2 m) sin((10/ s) t + π/4 + 4 π) 5.-(2 m) sin ((10/s) t + π /4-3r) 6. (-2m) cos((10/s) t + 12n/4) 7. (v ฐ m) [cos((10/s) t) + sin((10/s) t)] 8. (2 m) cos ((-10/s)...
Write a MATLAB function with the following specifications: Input parameter 1: A Input parameter 2: B Input parameter 3: C Input parameter 4: D Output parameter: Sum of the input parameters Time interval: -2T lessthanorequalto t lessthanorequalto 2T Waveform 1 to plot: y(t) = A sin(B(t - c))+D Waveform 2 to plot: y(t) = A cos(B(t - c)) + D Display two plots in vertical fashion on one figure Include all labeling on both plots. Add a grid to both...
1. A LTI system has the frequency response function 0, all other o Compute the output y(t) resulting from the in put x(t) given by (a) x(t) -2-5cos(3t)+10sin(6t-jx/3)+4cos(12t-x/4) (b) x(t) = 1 + Σ- cos(2kt ) k-l (c) x(t) is the periodic pulse train signal shown below (repeats beyond the graph) 0.5 0.5 5 t (second) Hint: Refer to lecture 10 note. For (c), find the Fourier series coefficients of x(t) first.
1. A LTI system has the frequency response...
6. Plot the 3D surface and contour levels of the following function: z(x, y)cos(2y-x) sin(2x) such that-π x π and-r y < π [10 marks] 7. Create a 5 x 5 random matrix M6 with elements ranging from 10 to 33. Using indexing, define the following arrays: An array containing all elements of M6 that are greater than 3 and smaller 6 marks] An array containing all elements of M6 that are negative or between 29 and 33. 6 marks...
signals and communications 2
Make sure you show all working and describe each step in your calculations. 1. A signum function is defined as sgn(t) = { 1、12 0 1 t<0 Plot and express this function in terms of the unit-step function. 5 marks/ Determine and plot the even and odd parts of the signal 2. x(t) (te-3 +2)u(t). 5 marks 3. If prove that y[n-m] = x[n-m] * h[n]. 5 marks 4. Assuming α > 0, plot the signal...
Consider the function
f ( x ) = 4 π ( cos x 1 − cos 3 x 3 + cos 5 x 5 − cos 7 x 7
+ ⋯ ). Fire up a plotting program or spreadsheet, and plot this
over the range of x=0 to 4π. Do it one term at a time, so make four
plots: one with the first term, one with the first and second, the
next with one, two,...
HW 2-1. For the RLC circuit in HW 1-2, with the voltage source x(t) as the 'input' and the loop current y(t) as the 'output' (20 pts) L=11 R=3.12 X(t) To-"000) 1) find its frequency response function H(w). (5 pts) 2) then, find its response to the following input signals, respectively 2-a) x(t)=8(t), (2 pts) 2-b) x(t)=u(t), (3 pts) 2-c) x(t)=sin(10t), (3 pts) 2-d) x(t)=2sin(10t)+cos(20t+1), (3 pts) 3) For the signals in 2), calculate the energy or the average power...
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