Homework Answers
Add Answer to:
I. The autocorrelation function of a random signal is R(r) !-ⓞrect rect a. Find the power...
2. (30 points) Let X(t) be a wide-sense stationary (WSS) random signal with power spectral density...
2. (30 points) Let X(t) be a wide-sense stationary (WSS) random signal with power spectral density S(f) = 1011(f/200), and let y(t) be a random process defined by Y(t) = 10 cos(2000nt + 1) where is a uniformly distributed random variable in the interval [ 027]. Assume that X(t) and Y(t) are independent. (a) Derive the mean and autocorrelation function of Y(t). Is Y(t) a WSS process? Why? (b) Define a random signal Z(t) = X(t)Y(t). Determine and sketch the...
1) Random Processes: Suppose that a wide-sense stationary Gaussian random process X (t) is input to the filter shown below. The autocorrelation function of X(t) is 2xx (r) = exp(-ary Y(t) X(t) Delay...
1) Random Processes: Suppose that a wide-sense stationary Gaussian random process X (t) is input to the filter shown below. The autocorrelation function of X(t) is 2xx (r) = exp(-ary Y(t) X(t) Delay a) (4 points) Find the power spectral density of the output random process y(t), ΦΥΥ(f) b) (1 points) What frequency components are not present in ΦYYU)? c) (4 points) Find the output autocorrelation function Фуу(r) d) (1 points) What is the total power in the output process...
KS31603 SULIT/CONFIDENTIAL QUESTION 4 (20 marks) (a) A message signal has a peak voltage of 1V...
KS31603 SULIT/CONFIDENTIAL QUESTION 4 (20 marks) (a) A message signal has a peak voltage of 1V and its average power is 125 mW. Design a PCM system (find minimum value of R of the R bit A/D) with uniform quantization to achieve at least a signal to quantization noise ratio of 36 dB. What is the signal to quantization noise ratio obtained in your design? [6 marks] (b) If the signal is sampled at 9kHz in 4(a), what is the...
answer comepltely and clearly 1. For which of the following is R(T) an appropriate autocorrelation function?...
answer comepltely and clearly
1. For which of the following is R(T) an appropriate autocorrelation function? If R(T) is not a valid autocorrelation, state why not; otherwise, find the power spectral density S(f) and the total power. (a) R(T) = sinc(2nfor) (d) R(T) In G) - 1–12, 1131 (0, |-|> 1 -2 -1 _ſ1 - IT, IT 31 (c) R(T) = (1 + IT, IT > 1
Q.2 ICO2]10 Marks] The signal g(t) forms the input to the LPF circuit shown in the figure, where R l,and y(Dis the output. If the power spectral density (PSD) of the signal ge) is (a) The autoc...
Q.2 ICO2]10 Marks] The signal g(t) forms the input to the LPF circuit shown in the figure, where R l,and y(Dis the output. If the power spectral density (PSD) of the signal ge) is (a) The autocorrelation of g(t) (b) The 3-dB bandwidth of the LPF (c) The power of g(t) and y(t) (d) Based on your answers above, will it be better if the signal has more or less bandwith? (e) If a white noise of PSD No/2 is...
Consider a sinusoidal signal with random phase, defined by x(t)=Acos(2πfct+θ), where A and FC are constant and θ is a random variable uniform distributed over interval [-π,π], that is f(θ)={█(1/2π,&-π≤θ≤π@0,&elsewhere)┤ Describe the autocorrelation RX(τ
Consider a sinusoidal signal with random phase, defined by , where A and FC are constant and is a random variable uniform distributed over interval [-, that isa) Describe the autocorrelation RX of a sinusoidal wave X(t)b) Describe the power spectral density SX of a sinusoidal wave X(t)Consider a sinusoidal signal with random phase, defined by , where A and FC are constant and is a random variable uniform distributed over interval [-, that isa) Describe the autocorrelation RX of...
Digital communications Question 3: a) Find the power spectral density for the cosine signal and also...
Digital communications
Question 3: a) Find the power spectral density for the cosine signal and also compute power in the signal. b) Find The autocorrelation of X(t)=5cos[2(3)+1/3]
4. Find and the autocorrelation function R (t) of the following signal : x( Find the...
4. Find and the autocorrelation function R (t) of the following signal : x( Find the energy Ex
Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass...
Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass filter (BPF) with mid-band frequency f and bandwidth 5f. where f is the carrier frequency and fmis the frequency of the baseband modulating signal (i) Sketch the spectrum of the BPF output. (ii) Determine the fraction of the power of the FM signal that is present at the output of the filter (b) Consider the FM signal given by фFM (t)-100 cos...
Q.6 Determine the autocorrelation function and power spectral density of the random process olt)= m(t) cos(21f...
Q.6 Determine the autocorrelation function and power spectral density of the random process olt)= m(t) cos(21f t+), where m(t) is wide sense stationary random process, and is uniformly distributed over (0,2%) and independent of m(t).
2. (30 points) Let X(t) be a wide-sense stationary (WSS) random signal with power spectral density S(f) = 1011(f/200), and let y(t) be a random process defined by Y(t) = 10 cos(2000nt + 1) where is a uniformly distributed random variable in the interval [ 027]. Assume that X(t) and Y(t) are independent. (a) Derive the mean and autocorrelation function of Y(t). Is Y(t) a WSS process? Why? (b) Define a random signal Z(t) = X(t)Y(t). Determine and sketch the...
1) Random Processes: Suppose that a wide-sense stationary Gaussian random process X (t) is input to the filter shown below. The autocorrelation function of X(t) is 2xx (r) = exp(-ary Y(t) X(t) Delay a) (4 points) Find the power spectral density of the output random process y(t), ΦΥΥ(f) b) (1 points) What frequency components are not present in ΦYYU)? c) (4 points) Find the output autocorrelation function Фуу(r) d) (1 points) What is the total power in the output process...
KS31603 SULIT/CONFIDENTIAL QUESTION 4 (20 marks) (a) A message signal has a peak voltage of 1V and its average power is 125 mW. Design a PCM system (find minimum value of R of the R bit A/D) with uniform quantization to achieve at least a signal to quantization noise ratio of 36 dB. What is the signal to quantization noise ratio obtained in your design? [6 marks] (b) If the signal is sampled at 9kHz in 4(a), what is the...
answer comepltely and clearly
1. For which of the following is R(T) an appropriate autocorrelation function? If R(T) is not a valid autocorrelation, state why not; otherwise, find the power spectral density S(f) and the total power. (a) R(T) = sinc(2nfor) (d) R(T) In G) - 1–12, 1131 (0, |-|> 1 -2 -1 _ſ1 - IT, IT 31 (c) R(T) = (1 + IT, IT > 1
Q.2 ICO2]10 Marks] The signal g(t) forms the input to the LPF circuit shown in the figure, where R l,and y(Dis the output. If the power spectral density (PSD) of the signal ge) is (a) The autocorrelation of g(t) (b) The 3-dB bandwidth of the LPF (c) The power of g(t) and y(t) (d) Based on your answers above, will it be better if the signal has more or less bandwith? (e) If a white noise of PSD No/2 is...
Digital communications
Question 3: a) Find the power spectral density for the cosine signal and also compute power in the signal. b) Find The autocorrelation of X(t)=5cos[2(3)+1/3]
4. Find and the autocorrelation function R (t) of the following signal : x( Find the energy Ex
Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass filter (BPF) with mid-band frequency f and bandwidth 5f. where f is the carrier frequency and fmis the frequency of the baseband modulating signal (i) Sketch the spectrum of the BPF output. (ii) Determine the fraction of the power of the FM signal that is present at the output of the filter (b) Consider the FM signal given by фFM (t)-100 cos...
Q.6 Determine the autocorrelation function and power spectral density of the random process olt)= m(t) cos(21f t+), where m(t) is wide sense stationary random process, and is uniformly distributed over (0,2%) and independent of m(t).
Most questions answered within 3 hours.
-
4. Describe the role played by glutamine in the transport of
nitrogen.
asked 14 seconds from now -
Choose one:
Periodic Inventory Accounting is less expensive to maintain
than Perpetual Inventory Accounting
Periodic Inventory...
asked 1 minute ago -
1. In IntelliJ create a new project called F1_2
2. In the Project window create a...
asked 4 minutes ago -
What is the energy released in this β+ nuclear reaction
23/12Mg→23/11Na+0/1e (The atomic mass of 23Mg...
asked 3 minutes ago -
30 mL of 1 M HCl were added to 200 mL of 0.1 M lysine solution...
asked 12 minutes ago -
The market portfolio has an expected return of 9.2% with a
volatility of 16.7% while the...
asked 17 minutes ago -
Personal selling is of special importance in B2B marketing. What
has been the impact of the...
asked 24 minutes ago -
1.With time, an appreciation in the value of the nation's
currency in the foreign exchange market...
asked 20 minutes ago -
In 2003, an organization surveyed 1 comma 510 adult Americans
and asked about a certain war,...
asked 31 minutes ago -
Blue colorin fireworks is often achieved by heating copper(I)
chloride (CuCl) to about 1200°C. Then the...
asked 25 minutes ago -
Coperto Insurers of Davenport, Iowa offers four different
insurance plans, all of which are equally popular...
asked 33 minutes ago -
A 50 mL graduated cylinder contains 25.0 mL of water. A 42.5040
g piece of gold...
asked 34 minutes ago