Random Signals And Noise
Random Signals And Noise
Homework Answers
What allows us to hear signals over wires? a. Electrical signals generate electronic noise b. If...
What allows us to hear signals over wires? a. Electrical signals generate electronic noise b. If near the wire you can hear the electrical signal c. Electrical signals generate magnetic fields d. Electricity readers hooked into the wire
4. One of the two signals s and s,+E is transmitted over a channel with additive noise characterized by the Laplacia...
4. One of the two signals s and s,+E is transmitted over a channel with additive noise characterized by the Laplacian pdf f(n) y<e Let the prior message probabilities be: P -P a theshid e, chooses message The receiver compares the channel output y x+n to '0' when y, and chooses '1' when y> e. Derive an expression for the threshold that minimizes the probability of error, (20pts) Note that the Leibnitz rule: B(a F(a)= If(x)dxc (a) A(a) aE(a)fB(a)a)-fA@
4....
Mark which of the following statements is true. a. Noise is a random process and it...
Mark which of the following statements is true. a. Noise is a random process and it is easy to remove from a signal. b. attenuation causes the reduction of the signal's strength and it can be corrected using an amplifier. c. It is easier to remove the noise from a signal than correct attenuation effects.
Problem 3 In this problem you add some random noise to the sine function and then...
Problem 3 In this problem you add some random noise to the sine function and then calculate the derivative. • First, generate a vector (the same length as x, above) which consists of random numbers in the range (-0.02) to (0.02). Use the MATLAB function rand. rand will return a random number between 0 and 1. For this problem, you actually need random numbers between +/- 0.02. How will you convert the random numbers you obtain from rand to be...
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...
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...
Exercise 12: An ASK system employs the following signals in the presence of Additive white noise with a PSD of n/2, t)A c 2f t) for binary 1 So(t)-BA cos(2πfet), for binary 0 where 0< B<1. Deri...
Exercise 12: An ASK system employs the following signals in the presence of Additive white noise with a PSD of n/2, t)A c 2f t) for binary 1 So(t)-BA cos(2πfet), for binary 0 where 0< B<1. Derive the probability of error Pe assuming that the binary signals for 1 and 0 occur with equal probability. Hint: Find the average energy per bit Eb
Exercise 12: An ASK system employs the following signals in the presence of Additive white noise with...
Random variations (or noise) in a statistical forecast are due to: A)Unpredictable events B)Using the wrong...
Random variations (or noise) in a statistical forecast are due to: A)Unpredictable events B)Using the wrong statistical method to create the forecast C)Inaccurate responses of the panel of expert D)Population growth
question 2 and 3 () Describe analog and digital signals in terms of Noise and interference...
question 2 and 3
() Describe analog and digital signals in terms of Noise and interference tolerance 2 Marks Eachl Bandwidth m) Power consumption (iv) Impedance (b) Sute real life examples of stochastic and deterministic [3 Marks (c) Differentiate between impulse response and frequency response of an LTI system [4 Marks] Question Two Find the fourier transform of the following functions and sketch the diagrams. [3 Marks Each] O eftirect(3U4) (i) x 2recut-2) (1) y(t)=x(t)e (iv) (t)-(-3) (v) n(t)rect(t/3)*y(t)cost Question...
(please do not use the same answer again. It has been used twice and does not make sense) Describe the underlying physics that creates random spectrum of noise Describe the underlying phys...
(please do not use the same answer again. It has been used twice
and does not make sense)
Describe the underlying physics that creates random spectrum of noise
Describe the underlying physics that creates random spectrum of noise
4. One of the two signals s and s,+E is transmitted over a channel with additive noise characterized by the Laplacian pdf f(n) y<e Let the prior message probabilities be: P -P a theshid e, chooses message The receiver compares the channel output y x+n to '0' when y, and chooses '1' when y> e. Derive an expression for the threshold that minimizes the probability of error, (20pts) Note that the Leibnitz rule: B(a F(a)= If(x)dxc (a) A(a) aE(a)fB(a)a)-fA@
4....
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...
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...
Exercise 12: An ASK system employs the following signals in the presence of Additive white noise with a PSD of n/2, t)A c 2f t) for binary 1 So(t)-BA cos(2πfet), for binary 0 where 0< B<1. Derive the probability of error Pe assuming that the binary signals for 1 and 0 occur with equal probability. Hint: Find the average energy per bit Eb
Exercise 12: An ASK system employs the following signals in the presence of Additive white noise with...
question 2 and 3
() Describe analog and digital signals in terms of Noise and interference tolerance 2 Marks Eachl Bandwidth m) Power consumption (iv) Impedance (b) Sute real life examples of stochastic and deterministic [3 Marks (c) Differentiate between impulse response and frequency response of an LTI system [4 Marks] Question Two Find the fourier transform of the following functions and sketch the diagrams. [3 Marks Each] O eftirect(3U4) (i) x 2recut-2) (1) y(t)=x(t)e (iv) (t)-(-3) (v) n(t)rect(t/3)*y(t)cost Question...
(please do not use the same answer again. It has been used twice
and does not make sense)
Describe the underlying physics that creates random spectrum of noise
Describe the underlying physics that creates random spectrum of noise
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