Homework Answers
The PDF of 
is 
.
The PDF of 
defined as 
is discrete with
Y taking value -1 when X is less than 0 and
T taking value 1 when X is greater than 0. Thus The PDF of Y is
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please solve the question with steps. Thanks.
4. Consider a digital communication receiver which maps the...
1. Let us consider a digital binary communication system, in which the fol- lowing signal s1(t)...
1. Let us consider a digital binary communication system, in which the fol- lowing signal s1(t) is transmitted for '0' and signal s2(t) is transmitted for '1' and these two signals are equal probability P('O' is transmitted) P(1' is transmitted). For these two signals and their correspond- ing basis functions, answer the following questions [40 points -2 0t<0.5; 0<t<0.5 -1 0.5 <t< 1 2 s2(t) -1 0.5<t1. s1(t) otherwise 0 otherwise 0 0<t<0.5; -1 0.5 <t1. otherwise 1 10t<1 0...
Answer all parts and show all steps please. 3323 Modern Digital and Analog Communication Question A...
Answer all parts and show all steps please.
3323 Modern Digital and Analog Communication Question A compact disc (CD) records audio signals digitally by using PCM. Assume that the audio signal bandwidth equals 15 kHz (a) If signal is sampled at the Nyquist rate and the samples are uniformly digitized into L 65,536 levels and then binary-coded, determine the number of bits required to encode a sample (b) If the audio signal has average power of 0.1 W and a...
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
***Solve without derivative and please explain all the steps in your work. Thanks. 4. Uniform Distributions....
***Solve without derivative and please explain all the steps in your work. Thanks. 4. Uniform Distributions. A random number generator randomly selects a number from -2 to 1. It is equally likely to select any number from this interval [-2,1]. We can view this random variable as a continuous random variable. (a) What is the constant height required to ensure that the area between the x axis and the curve is exactly one in this case (note since this is...
3. (30 points) A binary communication system transmits signals s(t) (i 1,2). The receiver samples the received signal r(t) s(t) + n(t) at T and obtain the decision statistic r(T) S (T) n(T) a + n...
3. (30 points) A binary communication system transmits signals s(t) (i 1,2). The receiver samples the received signal r(t) s(t) + n(t) at T and obtain the decision statistic r(T) S (T) n(T) a + n, where the signal component is either an +A or a2-A with A >0 and n is the noise component. Assume that s1 (t) and s2(t) are equally likely to be transmitted and the decision threshold is chosen as zero. If A 1 and the...
Let us consider the binary digital communication system in which bit 1 is represented by the...
Let us consider the binary digital communication system in which bit 1 is represented by the waveform Acos(ωt) of bit duration T, where ω is the carrier radial frequency and A is the constant amplitude. On the hand, the bit 0 is represented by the following waveform instead (A/10)cos(ωt). During the transmission the channel has introduced the uniform random phase shift Φ and transmitted waveform is affected by zero-mean white Gaussian noise of variance σ2. To demodulate, we perform the...
please solve with steps and explain thanks Question 5 Given the differential equation y'' + 5y'...
please solve with steps and explain thanks
Question 5 Given the differential equation y'' + 5y' + 4y = 0, y(0) = 2, y'(0) = 1 Apply the Laplace Transform and solve for Y(8) = L{y} Y(8) = Now solve the IVP by using the inverse Laplace Transform y(t) = L-'{Y(s)} g(t) =
Bit Error Probability: Consider the following model for a digital communication system: r =√Es + ...
Bit Error Probability: Consider the following model for a digital communication system: r =√Es + n where s {-1 1) with equal probability, and n is additive white Gaussian noise with zero mean and variance 1, and E is the signal to noise ratio. The receiver decides s = +1 if r > 0, and decides s = -1, if r <0. Estimate the error probability using Monte Carlo simulations by generating many samples and making as many decisions for...
Q: Assistance in understanding and solving this example on Probability and Statistical with the steps of...
Q: Assistance in understanding and solving this example on Probability and Statistical with the steps of the solution to better understand, thanks. **Please give the step by steps with details to completely see how the solution came about. 1) Let be random variables of the continuous type have the joint p.d.f. f(x,y)= 2, 0≤y≤ x≤1. (a). Draw a graph that illustrates the domain (support) of this p.d.f. (b). Find marginal pdf of X, fX(x), μXand σ2X (c). Find the marginal...
4. [20 points) Continuous Cate and Digital Dave independently pick random numbers C and D, where...
4. [20 points) Continuous Cate and Digital Dave independently pick random numbers C and D, where has the continuous pdf below fc(e) → and D has the discrete pmf ( d=0 pp(d) = { }, d=1 l, d=1. Let X = C + D. Suppose you observe that X = . Find the conditional pmf pplx (d[x = 5).
1. Let us consider a digital binary communication system, in which the fol- lowing signal s1(t) is transmitted for '0' and signal s2(t) is transmitted for '1' and these two signals are equal probability P('O' is transmitted) P(1' is transmitted). For these two signals and their correspond- ing basis functions, answer the following questions [40 points -2 0t<0.5; 0<t<0.5 -1 0.5 <t< 1 2 s2(t) -1 0.5<t1. s1(t) otherwise 0 otherwise 0 0<t<0.5; -1 0.5 <t1. otherwise 1 10t<1 0...
Answer all parts and show all steps please.
3323 Modern Digital and Analog Communication Question A compact disc (CD) records audio signals digitally by using PCM. Assume that the audio signal bandwidth equals 15 kHz (a) If signal is sampled at the Nyquist rate and the samples are uniformly digitized into L 65,536 levels and then binary-coded, determine the number of bits required to encode a sample (b) If the audio signal has average power of 0.1 W and a...
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. (30 points) A binary communication system transmits signals s(t) (i 1,2). The receiver samples the received signal r(t) s(t) + n(t) at T and obtain the decision statistic r(T) S (T) n(T) a + n, where the signal component is either an +A or a2-A with A >0 and n is the noise component. Assume that s1 (t) and s2(t) are equally likely to be transmitted and the decision threshold is chosen as zero. If A 1 and the...
please solve with steps and explain thanks
Question 5 Given the differential equation y'' + 5y' + 4y = 0, y(0) = 2, y'(0) = 1 Apply the Laplace Transform and solve for Y(8) = L{y} Y(8) = Now solve the IVP by using the inverse Laplace Transform y(t) = L-'{Y(s)} g(t) =
4. [20 points) Continuous Cate and Digital Dave independently pick random numbers C and D, where has the continuous pdf below fc(e) → and D has the discrete pmf ( d=0 pp(d) = { }, d=1 l, d=1. Let X = C + D. Suppose you observe that X = . Find the conditional pmf pplx (d[x = 5).
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