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I use the Table of Fourier Transform Properties and the Table of Fourier Transform of Basic...
Problem 3 Use tables of Fourier Transforms and properties to help deter- mine the Fourier transform...
Problem 3 Use tables of Fourier Transforms and properties to help deter- mine the Fourier transform of (t)t (sint Problem 4 An LTI system has impulse response )2 h(t) = exp(-4t)2(t) For a particular input (t) the output is observed to be y(t) exp(-4t)ult) exp(-5t)ult). Find ()
2. Consider the Fourier Transform pair: e11 - 1+ 2 Use the Fourier transform properties to...
2. Consider the Fourier Transform pair: e11 - 1+ 2 Use the Fourier transform properties to find the Fourier transform of: x(t) = te
Consider the Fourier transform pair e- 12. (a) Use the appropriate Fourier transform properties to find...
Consider the Fourier transform pair e- 12. (a) Use the appropriate Fourier transform properties to find the Fourier transform of te-tl, (b) Use the result from part (a), along with the duality property, to determine the Fourier transform of 4t (1+t2)2
Q4) Calculate the Fourier transform of the following time domain signals. Use the properties of t...
Q4) Calculate the Fourier transform of the following time domain signals. Use the properties of the Fourier transform found in the "Properties of Fourier Transforms" table in textbook and the "Famous Fourier Transforms Table" in textbook instead of direct integration as much as possible to simplify your calculation wherever appropriate: 2-2
3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal x(t) is X(f) - rect(f/ 2), find the Fourier Transform of the following signals using properties of the Fourier...
3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal x(t) is X(f) - rect(f/ 2), find the Fourier Transform of the following signals using properties of the Fourier Transform: (a) d(t) -x(t - 2) (d) h(t) = t x( t ) (e) p(t) = x( 2 t ) (f) g(t)-x( t ) cos(2π) (g) s(t) = x2(t ) (h)p()-x(1)* x(t) (convolution)
3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal...
2) (Fourier Transforms Using Properties) - Given that the Fourier Transform of x(t) e Find the Fourier Transform of the following signals (using properties of the Fourier Transform). Sketch each sign...
2) (Fourier Transforms Using Properties) - Given that the Fourier Transform of x(t) e Find the Fourier Transform of the following signals (using properties of the Fourier Transform). Sketch each signal, and sketch its Fourier Transform magnitude and phase spectra, in addition to finding and expression for X(f): (a) x(t) = e-21,-I ! (b) x(t)-t e 21 1 (c) x(t)-sinc(rt ) * sinc(2π1) (convolution) [NOTE: X(f) is noLI i (1 + ㎡fy for part (c)]
2) (Fourier Transforms Using Properties)...
1. Using appropriate properties and the table of Fourier transforms, obtain and sketch the sin(at) Fourier...
1. Using appropriate properties and the table of Fourier transforms, obtain and sketch the sin(at) Fourier transform of the signal x()cn(31-4 marks) 2fX(a), determine the Fourier transform of the signal y(t)dx( F.T. dx(2t) dt (3 marks) 3. Find the Fourier transform of x(t)-cos(2t/4). (3 marks) 4. Let x(t) be the input to a linear time-invariant system. The observed output is y(t) 4x(t 2). Find the transfer function H() of the system. Hence, obtain and sketch the unit-impulse response h(t) of...
No.1 (2 points) List the basic properties of Z-Transform. What are differences between Fourier Series and...
No.1 (2 points) List the basic properties of Z-Transform. What are differences between Fourier Series and Fourier Transform.
Given LTI system with following input response (can use properties of the Fourier transform like, sinc(x)...
Given LTI system with following input response (can use properties of the Fourier transform like, sinc(x) = sin(πx)/πx ): h(t) = 8/π sinc(8t/π) where input x(t) of the LTI system is the following continuous-time signal x(t) = cos(t) cos(8t) a) find the Fourier transform of x(t) b) find the Fourier transform of h(t) c) Is this LTI system BIBO stable? Prove d) find the output y(t) of the LTI system
Use tables of Fourier transform pairs and properties to find the Fourier transform of each of...
Use tables of Fourier transform pairs and properties to find the
Fourier transform of each of the signals
a) f(t)=(1-eb )u(t) b) f(t)= Acos(@t+) c) f(t)=e"u(-t), a>0 d) f(t)=C/(t+t)
Problem 3 Use tables of Fourier Transforms and properties to help deter- mine the Fourier transform of (t)t (sint Problem 4 An LTI system has impulse response )2 h(t) = exp(-4t)2(t) For a particular input (t) the output is observed to be y(t) exp(-4t)ult) exp(-5t)ult). Find ()
2. Consider the Fourier Transform pair: e11 - 1+ 2 Use the Fourier transform properties to find the Fourier transform of: x(t) = te
Consider the Fourier transform pair e- 12. (a) Use the appropriate Fourier transform properties to find the Fourier transform of te-tl, (b) Use the result from part (a), along with the duality property, to determine the Fourier transform of 4t (1+t2)2
Q4) Calculate the Fourier transform of the following time domain signals. Use the properties of the Fourier transform found in the "Properties of Fourier Transforms" table in textbook and the "Famous Fourier Transforms Table" in textbook instead of direct integration as much as possible to simplify your calculation wherever appropriate: 2-2
3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal x(t) is X(f) - rect(f/ 2), find the Fourier Transform of the following signals using properties of the Fourier Transform: (a) d(t) -x(t - 2) (d) h(t) = t x( t ) (e) p(t) = x( 2 t ) (f) g(t)-x( t ) cos(2π) (g) s(t) = x2(t ) (h)p()-x(1)* x(t) (convolution)
3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal...
2) (Fourier Transforms Using Properties) - Given that the Fourier Transform of x(t) e Find the Fourier Transform of the following signals (using properties of the Fourier Transform). Sketch each signal, and sketch its Fourier Transform magnitude and phase spectra, in addition to finding and expression for X(f): (a) x(t) = e-21,-I ! (b) x(t)-t e 21 1 (c) x(t)-sinc(rt ) * sinc(2π1) (convolution) [NOTE: X(f) is noLI i (1 + ㎡fy for part (c)]
2) (Fourier Transforms Using Properties)...
1. Using appropriate properties and the table of Fourier transforms, obtain and sketch the sin(at) Fourier transform of the signal x()cn(31-4 marks) 2fX(a), determine the Fourier transform of the signal y(t)dx( F.T. dx(2t) dt (3 marks) 3. Find the Fourier transform of x(t)-cos(2t/4). (3 marks) 4. Let x(t) be the input to a linear time-invariant system. The observed output is y(t) 4x(t 2). Find the transfer function H() of the system. Hence, obtain and sketch the unit-impulse response h(t) of...
No.1 (2 points) List the basic properties of Z-Transform. What are differences between Fourier Series and Fourier Transform.
Use tables of Fourier transform pairs and properties to find the
Fourier transform of each of the signals
a) f(t)=(1-eb )u(t) b) f(t)= Acos(@t+) c) f(t)=e"u(-t), a>0 d) f(t)=C/(t+t)
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