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Category: digital signal processing

digital signal processing solved questions

Anonymous

Asked: October 3, 2022In: digital signal processing

7. Filtering of COVID Data: In this problem we will filter and make plots of data from the 2020-2021 pandemic. Your final answer will be one plot, each part below describes an addition to make to the plot. Go to https://covidtracking.com/data/download and click on the Colorado link to open a spreadsheet with data from Colorado. Copy and paste the data from the column “positiveIncrease” which represents the new cases each day. Paste this column vector into an m-file and give the vector a name like x. a) Make stem plot of the data with time (days) on the x-axis. Use flipud to make the vector samples start from the oldest date and the last sample is the newest date. ,,,,,,,,,,,,,,

Anonymous

Asked: October 3, 2022In: digital signal processing

6. Difference Equation: Please do Problem P-5.4 on page 188

Anonymous

Asked: October 3, 2022In: digital signal processing

5. Impulse Response: Please do Problem P-5.1 on page 187. P-5.1 If the impulse response h[n]=7,,,,,,,,,,, Write the difference equation for the FIR filter

Anonymous

Asked: October 3, 2022In: digital signal processing

4. Sampling, Aliasing, and Reconstruction: In this problem we want to consider the signal and make plots at different sampling rates. For each part below you will create a plot. All of your plots should be appear on the same figure as subplots, one below the other. Use the subplot(4,1,p) command which will create 4 rows and 1 column of plots. The value of p gives the specific plot number from top to bottom. a) For the first subplot make a plot of x(t) sampled at 100 kHz from 0 to 1 msec (0.001 seconds). Plot both the sample values as stems and the linear interpolation between the samples (Use stem(t,x); hold on; plot(t,x); hold off;) b) Repeat part (a) in the second subplot using a sampling frequency of 25 kHz. c) Repeat part (a) in the third subplot using a sampling frequency of 10 kHz. d) Repeat part (a) in the fourth subplot using a sampling frequency of 8 kHz. e) The plot in part (d) is under-sampled and shows aliasing. Find the frequency of the aliased signal and add it to this plot. For plotting the aliased signal use a 100 kHz sampling frequency so it appears continuous.

Anonymous

Asked: October 3, 2022In: digital signal processing

3. Audio Sampling and Recording: For audio recording, different sampling rates and number of bits per sample are used depending on the fidelity requirements. Stereo sound means there are two simultaneous audio signals that may be slightly different. Some standards are described in the table below:

Anonymous

Asked: October 3, 2022In: digital signal processing

2. Discrete to Continuous Conversion: Discrete time MATLAB signals can be converted to continuous time signals with the function soundsc which put out an analog signal for listening. In the following MATLAB code a discrete time sinusoid is generated and then played out with soundsc: nn=0:219009; xx=(7/pi)cos(0.4pinn+2.03); soundsc(xx,16000) a) Determine the analog frequency (in Hz) that will be heard. b) What is the duration of the signal in seconds? c) Now the code is changed to nn=0:219009; xx=(7/pi)cos(0.4pinn+2.03); soundsc(xx,32000) What will be the new analog frequency and tone duration that is heard? d) Now the code is changed to nn=0:219009; xx=(7/pi)cos(0.4pi*nn+2.03); soundsc (xx,8000) What will be the new analog frequency and tone duration that is heard?

Anonymous

Asked: October 3, 2022In: digital signal processing

1. Sampling: Consider the signal x t t ( ) 10 10cos(2 400 )    that is to be sampled at a rate of 1000 samples/second. a) Find the normalized frequency  ˆ b) Write an expression for the sampled signal x n[ ]. c) Make a sketch of the spectrum of the continuous signal x(t). d) Make a sketch of the spectrum of the discrete signal x n[ ] vs  ˆ , make sure your plot includes the shifted copies due to sampling. e) Use MATLAB to make a plot of x n[ ] showing the first 50 samples. Use the stem command instead of plot to illustrate the samples as discrete values.

venkyelectrical

Asked: May 3, 2022In: digital signal processing

6. (20 points) The sample function X(t) of a stationary random process Y(t) is given by: X(t) = …………) where w is a constant, Y(t) and 0 are statistically independent, and 0 is uniformly distributed between 0 and 2n. Find the autocorrelation function of X(t) in terms of Ryy(T)

6. (20 points) The sample function X(t) of a stationary random process Y(t) is given by: X(t) = …………) where w is a constant, Y(t) and 0 are statistically independent, and 0 is uniformly distributed between 0 and 2n. Find ...

venkyelectrical

Asked: May 3, 2022In: digital signal processing

5.(20 Points) In an optical communications system, the photodetector output is a poisson random variable K. either with an expected value of 10,000 photons (hypothesis H0) or with an expected value of 1,000,000 photons (hypothesis H1) Given that both hypotheses are equally likely, (a) design a MAP hypothesis test using observed values of random variable K: (b) what the probability of false alarm?

5.(20 Points) In an optical communications system, the photodetector output is a poisson random variable K. either with an expected value of 10,000 photons (hypothesis H0) or with an expected value of 1,000,000 photons (hypothesis H1) Given that both hypotheses ...

venkyelectrical

Asked: May 3, 2022In: digital signal processing

4. (15 points) Transmit 100 bits. The probability of transmitting bit “I”, P[I]=p. Let Xi denote the number of bit “1” is transmitted. (a) What is Px33(x)? Are X1 and X2 independent? (b) Define Y= X1 +X2 +.••+X100. (c) Describe Y in words. What is Py (y)? Find E[Y] and Var[Y ]

4. (15 points) Transmit 100 bits. The probability of transmitting bit “I”, P[I]=p. Let Xi denote the number of bit “1” is transmitted. (a) What is Px33(x)? Are X1 and X2 independent? (b) Define Y= X1 +X2 +.••+X100. (c) Describe ...

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