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(a) What is the principal objective of matched filtering? (b) What is the (white noise) matched...
+00 k-00 The signal z(t) received by a binary communication system can be expressed as z(t)...
+00 k-00 The signal z(t) received by a binary communication system can be expressed as z(t) = axpe(t – kT)+w(t) where ax = £1, an equally likely and independent binary sequence, and w(t) is white Gaussian noise with spectral density S(f)= N, /2. The pulse shape pe(t) is as shown below. a) Write down and sketch the noncausal matched filter impulse response. b) Without making any calculation, make a sketch of the expected filter output wave shape when the input...
Problem 1 (10 Marks) The noise X(t) applied to the filter shown in Figure I is...
Problem 1 (10 Marks) The noise X(t) applied to the filter shown in Figure I is modeled as a WSS random process with PSD S,(f). Let Y(t) denote the random noise process at the output of the filter. A linea filsee Figure 1: The Filter. (T) Je Sinc 1. Find the frequency response, H(f), of the filter. 2. If X(t) is a white noise process with PSD No/2, find the PSD of the noise precess Y(t). 2- f 3. Is...
s (t) is a rectangular pulse given by, s(t) 0, elsewhere. A matched filter which is...
s (t) is a rectangular pulse given by, s(t) 0, elsewhere. A matched filter which is matched to s(t) has unit pulse response h( The input to the matched filter is x(t), which is given by x (t) s(t) +n(t), where n(t) is zero mean white Gaussian noise with power spocial density of Tho maichod filier ouipu is y (i) What is h(t), as a function of A and T? What is H(f), the Fourier Tranform of h (t)? What...
5. Exporting your filter designs in 4(a) and 4(b) to SIMULINK In SIMULINK, create two discrete-time signals x1n],x2...
5. Exporting your filter designs in 4(a) and 4(b) to SIMULINK In SIMULINK, create two discrete-time signals x1n],x2In] supposition with a band limited white noise as follow T, = 0.000021 sec noise power: 0.0000021 x1 [n] = sin(2rhn%) + noise, X2[n] = sin(2thn7,) + noise, f, = 3kHz f, = 12kHz Submit the circuit diagrams that show the connections of the discretised signal source, band limited white noise source, digital filters, and the scope capturing the input and output signals...
I need help with number 2 . Please answer in MATLAB thank you! 1. In the lab we analyzed filtering 60 Hz power-line noi...
I need help with number 2 . Please answer in MATLAB thank
you!
1. In the lab we analyzed filtering 60 Hz power-line noise from ECG signal using a digital (signal processing) filter. Now let's try to an analog (circuit) filter approach to remove the 60 Hz line-noise. Following is an active twin-T notch filter with transfer function: (1+m)((2joRC? +1 Z(a) 2R 2R Here m is the ratio of the two feedback 2C R resistance which determines the gain and...
Find the power of the signal conponent of a P is the Fourice t of s,(0)(2.5 points) edf,where S.f density of pu nose (2.5 points) . Consider the RL circuit shown below. Assume that R-10 and L-IN....
Find the power of the signal conponent of a P is the Fourice t of s,(0)(2.5 points) edf,where S.f density of pu nose (2.5 points) . Consider the RL circuit shown below. Assume that R-10 and L-IN. Hint : Use Parseval's relationship if necessary i(t) e. What is the input signal-o-oise (SNR,ratio, defined as: SNR, 1olog..C)as polnts d. Find the output power spectral density of noise N,00 N,( HP, where HU) is the frequency response of the circuit, and N,(n)...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t)...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t) x(t) The input to this circuit is given as x(t) s(t)+ny (t), where the noise component of input, n(t), is a sample function realization of white noise process with an autocorrelation function given by Rpx(t) 8(T), and s (t) cos(6Tt) is the signal component of input. IS(fOI df, where S( a. Find the power of the signal component of input, Ps is the Fourier...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t)...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t) x(t) The input to this circuit is given as x(t) s(t)+ny (t), where the noise component of input, n(t), is a sample function realization of white noise process with an autocorrelation function given by Rpx(t) 8(T), and s (t) cos(6Tt) is the signal component of input. IS(fOI df, where S( a. Find the power of the signal component of input, Ps is the Fourier...
a b c d b. What is the output noise power, PSy Uaj.p A certain communication...
a b c d
b. What is the output noise power, PSy Uaj.p A certain communication channel is characterized by K noise with power-spectral density of S) 10-10 w The message signal that is to be 3. 10-9 attenuation and additive white transmitted through this channel is m (t) # 50 Cos (10000?), and the carrier signal that will be used in each ofthe following modulation schemes is c(t) = 100 Cos (40000m). n(t) 20 m(t) x() Channel wit (0...
part II is what I need help one. part 1 is also attached for your reference...
part II is what I need help one. part 1 is also
attached for your reference
Part II: Low Pass Filter contd. Noise Removal To observe the noise removal capabilities of a low -pass filter, we will add a second input to the system to simulate noise Step 1: Alter your Simulink model by adding another sine wave function and use a Sum block to add the inputs together as the new input to the system. The second sine function...
+00 k-00 The signal z(t) received by a binary communication system can be expressed as z(t) = axpe(t – kT)+w(t) where ax = £1, an equally likely and independent binary sequence, and w(t) is white Gaussian noise with spectral density S(f)= N, /2. The pulse shape pe(t) is as shown below. a) Write down and sketch the noncausal matched filter impulse response. b) Without making any calculation, make a sketch of the expected filter output wave shape when the input...
Problem 1 (10 Marks) The noise X(t) applied to the filter shown in Figure I is modeled as a WSS random process with PSD S,(f). Let Y(t) denote the random noise process at the output of the filter. A linea filsee Figure 1: The Filter. (T) Je Sinc 1. Find the frequency response, H(f), of the filter. 2. If X(t) is a white noise process with PSD No/2, find the PSD of the noise precess Y(t). 2- f 3. Is...
s (t) is a rectangular pulse given by, s(t) 0, elsewhere. A matched filter which is matched to s(t) has unit pulse response h( The input to the matched filter is x(t), which is given by x (t) s(t) +n(t), where n(t) is zero mean white Gaussian noise with power spocial density of Tho maichod filier ouipu is y (i) What is h(t), as a function of A and T? What is H(f), the Fourier Tranform of h (t)? What...
5. Exporting your filter designs in 4(a) and 4(b) to SIMULINK In SIMULINK, create two discrete-time signals x1n],x2In] supposition with a band limited white noise as follow T, = 0.000021 sec noise power: 0.0000021 x1 [n] = sin(2rhn%) + noise, X2[n] = sin(2thn7,) + noise, f, = 3kHz f, = 12kHz Submit the circuit diagrams that show the connections of the discretised signal source, band limited white noise source, digital filters, and the scope capturing the input and output signals...
I need help with number 2 . Please answer in MATLAB thank
you!
1. In the lab we analyzed filtering 60 Hz power-line noise from ECG signal using a digital (signal processing) filter. Now let's try to an analog (circuit) filter approach to remove the 60 Hz line-noise. Following is an active twin-T notch filter with transfer function: (1+m)((2joRC? +1 Z(a) 2R 2R Here m is the ratio of the two feedback 2C R resistance which determines the gain and...
Find the power of the signal conponent of a P is the Fourice t of s,(0)(2.5 points) edf,where S.f density of pu nose (2.5 points) . Consider the RL circuit shown below. Assume that R-10 and L-IN. Hint : Use Parseval's relationship if necessary i(t) e. What is the input signal-o-oise (SNR,ratio, defined as: SNR, 1olog..C)as polnts d. Find the output power spectral density of noise N,00 N,( HP, where HU) is the frequency response of the circuit, and N,(n)...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t) x(t) The input to this circuit is given as x(t) s(t)+ny (t), where the noise component of input, n(t), is a sample function realization of white noise process with an autocorrelation function given by Rpx(t) 8(T), and s (t) cos(6Tt) is the signal component of input. IS(fOI df, where S( a. Find the power of the signal component of input, Ps is the Fourier...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t) x(t) The input to this circuit is given as x(t) s(t)+ny (t), where the noise component of input, n(t), is a sample function realization of white noise process with an autocorrelation function given by Rpx(t) 8(T), and s (t) cos(6Tt) is the signal component of input. IS(fOI df, where S( a. Find the power of the signal component of input, Ps is the Fourier...
a b c d
b. What is the output noise power, PSy Uaj.p A certain communication channel is characterized by K noise with power-spectral density of S) 10-10 w The message signal that is to be 3. 10-9 attenuation and additive white transmitted through this channel is m (t) # 50 Cos (10000?), and the carrier signal that will be used in each ofthe following modulation schemes is c(t) = 100 Cos (40000m). n(t) 20 m(t) x() Channel wit (0...
part II is what I need help one. part 1 is also
attached for your reference
Part II: Low Pass Filter contd. Noise Removal To observe the noise removal capabilities of a low -pass filter, we will add a second input to the system to simulate noise Step 1: Alter your Simulink model by adding another sine wave function and use a Sum block to add the inputs together as the new input to the system. The second sine function...
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