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I IUDICIS 197 4-16. (a) Use the su Use the superposition and time delay theorems together...
(16 points] Use the scale change and time delay theorems along with the appropriate transform pairs...
(16 points] Use the scale change and time delay theorems along with the appropriate transform pairs to find the Fourier transforms of the following signals. a xa(t) = n(62 b. xy(t) = 2 sinc[2(t – 1)] C. Xo(t) = 4131 d. xa(t) = sinc?[(t – 3)/4]
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
4. X(c)-1 for lol < 5 and is zero elsewhere. Use the theorems to find and...
4. X(c)-1 for lol < 5 and is zero elsewhere. Use the theorems to find and sketch the amplitude versus ω and the phase angle versus ω of the transforms of the following signals. (a) t0, (b, (e) x(2), and (e) x() expG10) dx(t) dt' TABLEme Selected Properties of the Fourier Transform X (o) 2. 3. x(-t) X (-o) 5. x(-o) x (at) la l 8. lx ()12 dr x(t)h(C) x (t) 9. 10. 2π X (ω-@g) d"X (0) 12....
4. X(c)-1 for lol < 5 and is zero elsewhere. Use the theorems to find and sketch the amplitude ve...
4. X(c)-1 for lol < 5 and is zero elsewhere. Use the theorems to find and sketch the amplitude versus ω and the phase angle versus ω of the transforms of the following signals. (a) t0, (b, (e) x(2), and (e) x() expG10) dx(t) dt' TABLEme Selected Properties of the Fourier Transform X (o) 2. 3. x(-t) X (-o) 5. x(-o) x (at) la l 8. lx ()12 dr x(t)h(C) x (t) 9. 10. 2π X (ω-@g) d"X (0) 12....
(c) Determine whether the corresponding time-domain signal is (i) rea imaginary, or neither and(i...
(c) Determine whether the corresponding time-domain signal is (i) rea imaginary, or neither and(i) even, odd, or neither, without evaluating the inverse of the signal iii . X (ju) = u(w)-u(w-2) d) For the following signal t<-1/2 0, t + 1/2, -1/2 t 1 /2 1,t>1/2 Hint use the differntiation and integration x(t) = i. Determine X(jw). properties and the Fourier transform pair for the rectangular pulse. ii. Calculate the Fourier transfom of the even part of x(t). Is it...
This is in electrical engineering signals, I NEED IT ASAP PLEASE!! (b) A continuous-time LTT system...
This is in electrical engineering signals, I NEED IT ASAP
PLEASE!!
(b) A continuous-time LTT system has an input (t) and an output y(t). The frequency response of the system is (w). 0) (1 point) Write an equation that describes the relationship between the Fourier trans- forms of the input and output (X (jw) and Y Gw)) and the frequency response (jw). For the rest of the problem, assume that X(jw) and (w) are as shown in the plots below....
4. a) The sequence x[n] is related to its discrete time Fourier transform (DTFT). Xeo), by the expression: 27T i) Use t...
4. a) The sequence x[n] is related to its discrete time Fourier transform (DTFT). Xeo), by the expression: 27T i) Use this expression to design a 10th order high-pass finite impulse response (FIR) filter with cut-off frequency of 7 kHz for signals sampled at 16 kHz. Perform your design using a rectangular window. ii State what improvement in the performance of the filter might be 3 obtained by the use of a Hamming window. iii) Sketch a direct form implementation...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...
(16 points] Use the scale change and time delay theorems along with the appropriate transform pairs to find the Fourier transforms of the following signals. a xa(t) = n(62 b. xy(t) = 2 sinc[2(t – 1)] C. Xo(t) = 4131 d. xa(t) = sinc?[(t – 3)/4]
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
4. X(c)-1 for lol < 5 and is zero elsewhere. Use the theorems to find and sketch the amplitude versus ω and the phase angle versus ω of the transforms of the following signals. (a) t0, (b, (e) x(2), and (e) x() expG10) dx(t) dt' TABLEme Selected Properties of the Fourier Transform X (o) 2. 3. x(-t) X (-o) 5. x(-o) x (at) la l 8. lx ()12 dr x(t)h(C) x (t) 9. 10. 2π X (ω-@g) d"X (0) 12....
4. X(c)-1 for lol < 5 and is zero elsewhere. Use the theorems to find and sketch the amplitude versus ω and the phase angle versus ω of the transforms of the following signals. (a) t0, (b, (e) x(2), and (e) x() expG10) dx(t) dt' TABLEme Selected Properties of the Fourier Transform X (o) 2. 3. x(-t) X (-o) 5. x(-o) x (at) la l 8. lx ()12 dr x(t)h(C) x (t) 9. 10. 2π X (ω-@g) d"X (0) 12....
(c) Determine whether the corresponding time-domain signal is (i) rea imaginary, or neither and(i) even, odd, or neither, without evaluating the inverse of the signal iii . X (ju) = u(w)-u(w-2) d) For the following signal t<-1/2 0, t + 1/2, -1/2 t 1 /2 1,t>1/2 Hint use the differntiation and integration x(t) = i. Determine X(jw). properties and the Fourier transform pair for the rectangular pulse. ii. Calculate the Fourier transfom of the even part of x(t). Is it...
This is in electrical engineering signals, I NEED IT ASAP
PLEASE!!
(b) A continuous-time LTT system has an input (t) and an output y(t). The frequency response of the system is (w). 0) (1 point) Write an equation that describes the relationship between the Fourier trans- forms of the input and output (X (jw) and Y Gw)) and the frequency response (jw). For the rest of the problem, assume that X(jw) and (w) are as shown in the plots below....
4. a) The sequence x[n] is related to its discrete time Fourier transform (DTFT). Xeo), by the expression: 27T i) Use this expression to design a 10th order high-pass finite impulse response (FIR) filter with cut-off frequency of 7 kHz for signals sampled at 16 kHz. Perform your design using a rectangular window. ii State what improvement in the performance of the filter might be 3 obtained by the use of a Hamming window. iii) Sketch a direct form implementation...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...
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