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2. Find and sketch the magnitude spectra for the periodic square pulse train signal x(t) shown...
Find and sketch the magnitude spectra for the periodic triangular pulse train signal x() shown
Find and sketch the magnitude spectra for the periodic triangular pulse train signal x() shown below:
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the...
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the period, To-0.05s. πt as shown in Figure (a) Pr(t) x(t) XFO 057 Pt(t) 1 mark (a) Determine and sketch the spectrum of the signal x(t). Determine the bandwidth of x(t), B. 1 mark(b) Sketch the sampled signal, E(t) 2 marks () Derive and sketch the spectrum of the...
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be ab...
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be able to reconstruct f(t) from these samples. If the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz and unit gain, find the filter output. What is the filter output if its bandwidth is B Hz, where...
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspe...
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspection of Fig. P6.3-6, find the trigonometric Fourier series representing x(t) D. By spectien of Eig P636 ketcir tne exponential Eourier spectra of x(t). Egunar specta obtained in part b find the expone Het Ferrer sense。「 X(t) 0, 1 2 3 4 Cn Figure P6.3-8
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspection of Fig. P6.3-6, find...
Problem .3 Find the Fourier transform of the following periodic signal. Sketch the magnitude and phase...
Problem .3 Find the Fourier transform of the following periodic signal. Sketch the magnitude and phase spectra x(t) -4? -2? 2? 2 The exponential Fourier series of r(t) is n=0 -98 sin n- Odd 2 0, n- Even
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fund...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
Q1) For the periodic signals x() and ) shown below: x(t) YCO y(t) a) Find the exponential Fourier...
Q1) For the periodic signals x() and ) shown below: x(t) YCO y(t) a) Find the exponential Fourier series for x(t) and y). b) Sketch the amplitude and phase spectra for signal x(). c) Use Parseval's theorem to approximate the power of the periodic signal x() by calculating the power of the first N harmonics, such that the strength of the Nth harmonic is 10% or more of the power of the DC component.
Q1) For the periodic signals x()...
2. Increase the period of square signal in (b) with keeping same pulse duration, as shown...
2. Increase the period of square signal in (b) with keeping same pulse duration, as shown in the following figure То (c) A -A Ti Find the Fourier series coefficients az, as well as M7 and 8. for (c) T1=(1/4)To. Sketch the spectrum for both cases. Consider what spectrum will be if T1/To → 0. Procedures: Use the Signal Generator to generate the above signals according to the setting listed in Table I and measure the spectral from the Digital...
For the given rectangular pulse signal shown in figure below, 1 x(1) 1, T 0, T,...
For the given rectangular pulse signal shown in figure below, 1 x(1) 1, T 0, T, x) T T1 Find the Fourier transform of the signal and sketch it
4. A periodic signal x (t) is represented by a trigonometrie Fourier series X(t) = 8...
4. A periodic signal x (t) is represented by a trigonometrie Fourier series X(t) = 8 + 4 cos (2t + 60°) + 2sin (3t+30°) - cos (4t + 150°) = 0 * +30°) - cos (4t+150°) = 3 +4 Cos(216)+2 Cart ( 6) Col413 (a) Sketch the trigonometric Fourier series spectra (both magnitude and phase). O i 2 3 (b) Sketch the exponential Fourier series spectra (both magnitude and phase). + Dol -3 -2 -1 0 1 2 3...
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the period, To-0.05s. πt as shown in Figure (a) Pr(t) x(t) XFO 057 Pt(t) 1 mark (a) Determine and sketch the spectrum of the signal x(t). Determine the bandwidth of x(t), B. 1 mark(b) Sketch the sampled signal, E(t) 2 marks () Derive and sketch the spectrum of the...
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be able to reconstruct f(t) from these samples. If the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz and unit gain, find the filter output. What is the filter output if its bandwidth is B Hz, where...
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspection of Fig. P6.3-6, find the trigonometric Fourier series representing x(t) D. By spectien of Eig P636 ketcir tne exponential Eourier spectra of x(t). Egunar specta obtained in part b find the expone Het Ferrer sense。「 X(t) 0, 1 2 3 4 Cn Figure P6.3-8
6.3.6 Figure P6.3-6 shows the trigonometric Fourier spectra of a periodic signal x(t) a. By inspection of Fig. P6.3-6, find...
Problem .3 Find the Fourier transform of the following periodic signal. Sketch the magnitude and phase spectra x(t) -4? -2? 2? 2 The exponential Fourier series of r(t) is n=0 -98 sin n- Odd 2 0, n- Even
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
Q1) For the periodic signals x() and ) shown below: x(t) YCO y(t) a) Find the exponential Fourier series for x(t) and y). b) Sketch the amplitude and phase spectra for signal x(). c) Use Parseval's theorem to approximate the power of the periodic signal x() by calculating the power of the first N harmonics, such that the strength of the Nth harmonic is 10% or more of the power of the DC component.
Q1) For the periodic signals x()...
2. Increase the period of square signal in (b) with keeping same pulse duration, as shown in the following figure То (c) A -A Ti Find the Fourier series coefficients az, as well as M7 and 8. for (c) T1=(1/4)To. Sketch the spectrum for both cases. Consider what spectrum will be if T1/To → 0. Procedures: Use the Signal Generator to generate the above signals according to the setting listed in Table I and measure the spectral from the Digital...
For the given rectangular pulse signal shown in figure below, 1 x(1) 1, T 0, T, x) T T1 Find the Fourier transform of the signal and sketch it
4. A periodic signal x (t) is represented by a trigonometrie Fourier series X(t) = 8 + 4 cos (2t + 60°) + 2sin (3t+30°) - cos (4t + 150°) = 0 * +30°) - cos (4t+150°) = 3 +4 Cos(216)+2 Cart ( 6) Col413 (a) Sketch the trigonometric Fourier series spectra (both magnitude and phase). O i 2 3 (b) Sketch the exponential Fourier series spectra (both magnitude and phase). + Dol -3 -2 -1 0 1 2 3...
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