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10. An input signal x(t) is processed by a filter with an amplitude | H(f) |...
The following periodic signal is input to an ideal low pass filter of bandwidth 25 KHz. 1. x(t) 2...
The following periodic signal is input to an ideal low pass filter of bandwidth 25 KHz. 1. x(t) 2 a) Determine the average power of the signal x(t). b) If T 0.1 ms, give the output of the filter as a function of time, y(t) e) Determine the average power of the signal y(t) d) Determine the bandwidth of the signal y(), considered as a baseband signal. e) Now assume that the signal x() (with T-0.1 ms) is instead input...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency resp...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
Design a filter, H(f) (i.e. plot the magnitude of H(f) and phase of H(f)that would give the respo...
Design a filter, H(f) (i.e. plot the magnitude of H(f) and phase of H(f)that would give the response, y(t) = 4cos(int) + 0.5sin(10nt) + 2cos(14πt) +4cos(24π) to the input r(t) 1 cos(Tt) - cos(6Tt) cos(10rt) 4sin(14rt) sin(20rt) - sin (24Tt). Please note there are many solutions to this problem, you must justify your answer. What type of filter did you design? 1
Design a filter, H(f) (i.e. plot the magnitude of H(f) and phase of H(f)that would give the response,...
Question 7 The diagram depicts a digital filter that samples the continuous time input signal x(t)...
Question 7 The diagram depicts a digital filter that samples the continuous time input signal x(t) at 6 kHz. The digital is filter described by y(n) -x(n) + 0.8y(n -1) Find an expression for the steady state output if x(t) -3sin(2mft) with f 200 Hz? Hint: evaluate the filter's frequency response at the discrete time frequency corresponding to 200 Hz. (12 points) Anti-alias filter Sample A/D Digital Filter
3. The input signal to a certain filter is given by Vin(t) = 2cos (10 state...
3. The input signal to a certain filter is given by Vin(t) = 2cos (10 state output is given by Vout(t) = cos(10000 t + 20°). Determine the filter this will include both a magnitude and phase angle). * 2cos (10000nt - 25%) and the steady- °). Determine the transfer function of
6.(20%) Given a filter with frequency response function 5 F[h(t)=H=4+j(2f) 3 and given an input x(t)...
6.(20%) Given a filter with frequency response function 5 F[h(t)=H=4+j(2f) 3 and given an input x(t) eu(t) with its Fourier transform by 1 = *U)-3+ j(27f) F[x()] (10%) (a) Obtain the energy spectral density G,(f) for the input signal x(t) (10%) (b) Obtain the energy spectral density G.(f) for the output signal y(t)
6.(20%) Given a filter with frequency response function 5 F[h(t)=H=4+j(2f) 3 and given an input x(t) eu(t) with its Fourier transform by 1 = *U)-3+ j(27f) F[x()]...
A single tone message signal, m(t) = 2 cos(211 X 1000 t), (freq. is in Hz)...
A single tone message signal, m(t) = 2 cos(211 X 1000 t), (freq. is in Hz) is applied to an FM modulator with the following parameters: Amplitude of the Carrier = 10 (V), Carrier Frequency = 100 (kHz), Frequency sensitivity factor = kx = 103 (Hz/Volt). The modulated signal s(t) is passed through a bandpass filter centered at 102 (kHz) with a bandwidth of 3(kHz), and the output signal sf(t) is obtained. (a) Express the output of the filter, sf(t)...
Question 3: a.) A signal with frequency of 9 kHz and amplitude of 200 µV is input...
Question 3: a.) A signal with frequency of 9 kHz and amplitude of 200 µV is input to a low pass filter with cutoff frequency of 700 kHz. What are the frequency and amplitude of the output signal? b.) A signal with frequency of 7 Hz and amplitude of 6 V is input to a low pass filter with cutoff frequency of 1 kHz. What are the frequency and amplitude of the output signal?
7.2 A sinusoid with 1-V peak amplitude is applied at the input of a filter having...
7.2 A sinusoid with 1-V peak amplitude is applied at the input of a filter having the transfer function 4 2π × 10 T(s) = s+2n×104 Find the peak amplitude and the phase (relative to that of the input sinusoid) of the output sinusoid if the frequency of the input sinusoid is (a) 1 kHz, (b) 10 kHz, (c) 100 kHz, and (d) 1 MHz
Show details filter amplitude response filter phase response -80 -40 100 101 102 103 104 105...
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filter amplitude response filter phase response -80 -40 100 101 102 103 104 105 100 101 102 103 104 ㎡ freq (Hz) freq (Hz) 1) Sketch the filter response to an input signal r(t) 3cos(215000. State any assumptions you make 2) Sketch the filter response to an input signal a (1 # 2cos 5000t make State any assuniptions you ive an expression for the outsial x(t) amplitude vs freq x() phase vs freq 60 (SealBop) eseyd 2 000001
The following periodic signal is input to an ideal low pass filter of bandwidth 25 KHz. 1. x(t) 2 a) Determine the average power of the signal x(t). b) If T 0.1 ms, give the output of the filter as a function of time, y(t) e) Determine the average power of the signal y(t) d) Determine the bandwidth of the signal y(), considered as a baseband signal. e) Now assume that the signal x() (with T-0.1 ms) is instead input...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
Design a filter, H(f) (i.e. plot the magnitude of H(f) and phase of H(f)that would give the response, y(t) = 4cos(int) + 0.5sin(10nt) + 2cos(14πt) +4cos(24π) to the input r(t) 1 cos(Tt) - cos(6Tt) cos(10rt) 4sin(14rt) sin(20rt) - sin (24Tt). Please note there are many solutions to this problem, you must justify your answer. What type of filter did you design? 1
Design a filter, H(f) (i.e. plot the magnitude of H(f) and phase of H(f)that would give the response,...
Question 7 The diagram depicts a digital filter that samples the continuous time input signal x(t) at 6 kHz. The digital is filter described by y(n) -x(n) + 0.8y(n -1) Find an expression for the steady state output if x(t) -3sin(2mft) with f 200 Hz? Hint: evaluate the filter's frequency response at the discrete time frequency corresponding to 200 Hz. (12 points) Anti-alias filter Sample A/D Digital Filter
3. The input signal to a certain filter is given by Vin(t) = 2cos (10 state output is given by Vout(t) = cos(10000 t + 20°). Determine the filter this will include both a magnitude and phase angle). * 2cos (10000nt - 25%) and the steady- °). Determine the transfer function of
6.(20%) Given a filter with frequency response function 5 F[h(t)=H=4+j(2f) 3 and given an input x(t) eu(t) with its Fourier transform by 1 = *U)-3+ j(27f) F[x()] (10%) (a) Obtain the energy spectral density G,(f) for the input signal x(t) (10%) (b) Obtain the energy spectral density G.(f) for the output signal y(t)
6.(20%) Given a filter with frequency response function 5 F[h(t)=H=4+j(2f) 3 and given an input x(t) eu(t) with its Fourier transform by 1 = *U)-3+ j(27f) F[x()]...
A single tone message signal, m(t) = 2 cos(211 X 1000 t), (freq. is in Hz) is applied to an FM modulator with the following parameters: Amplitude of the Carrier = 10 (V), Carrier Frequency = 100 (kHz), Frequency sensitivity factor = kx = 103 (Hz/Volt). The modulated signal s(t) is passed through a bandpass filter centered at 102 (kHz) with a bandwidth of 3(kHz), and the output signal sf(t) is obtained. (a) Express the output of the filter, sf(t)...
7.2 A sinusoid with 1-V peak amplitude is applied at the input of a filter having the transfer function 4 2π × 10 T(s) = s+2n×104 Find the peak amplitude and the phase (relative to that of the input sinusoid) of the output sinusoid if the frequency of the input sinusoid is (a) 1 kHz, (b) 10 kHz, (c) 100 kHz, and (d) 1 MHz
Show details
filter amplitude response filter phase response -80 -40 100 101 102 103 104 105 100 101 102 103 104 ㎡ freq (Hz) freq (Hz) 1) Sketch the filter response to an input signal r(t) 3cos(215000. State any assumptions you make 2) Sketch the filter response to an input signal a (1 # 2cos 5000t make State any assuniptions you ive an expression for the outsial x(t) amplitude vs freq x() phase vs freq 60 (SealBop) eseyd 2 000001
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