A random signal can be generated in Matlab as follows x = randn(1,256); The signal x...

  

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A random signal can be generated in Matlab as follows x = randn(1,256); The signal x is a 256-long signal whose elements are normally distributed with a mear μ = 0 and standard deviation o= 1. Plot a histogram of the random signal histogram(x,64) with the second parameter specifying the number of "bins". Matlab counts how many numbers in r[n] fall within a particular bin's edges. How many numbers are in the "0" bin and the "2" bin? In which bin (or bins) have the highest concentration of numbers? Where are the bins that have very few or no numbers at all, mostly located? Calculate the mean and standard deviation of the generated signal using the functions mean and std. • Plot the discrete-time random signal a[n] with respect to n. Label both axes. Note that x[n] is a discrete-time signal and not a continuous-time signal and the plot should take this into consideration. Also note that (pseudo-)randomly generated signal is real-valued. (Warning: It is virtually impossible for any two of you to have the same plot.) • In this task, four plots are required in a single figure with a 2 x 2 subplot arrangement. First, use fft to calculate the 256-point DFT of the random signal obtained in the previous task. Let the DFT be X[k]. Recall that the DFT is complex-valued and itself discretised, i.e. it is not a continuous function. In the first two subplot panes, plot the real and imaginary parts of X[k] respectively. In the third subplot pane, plot the magnitude of X[k] in decibel,i.e. 20*log10(abs(p)) assuming that p is the variable where the DFT has been saved. In the fourth subplot pane, plot the angle of X[k] in radians. All plots are with respect to k; label the horizontal axes as k and the vertical axes with an appropriate label. • Calculate the average or mean of the following parts of the DFT obtained in the previous task: the real part, the imaginary part, the magnitude (dB) and the angle. A random signal can be generated in Matlab as follows x = randn(1,256); The signal x is a 256-long signal whose elements are normally distributed with a mear μ = 0 and standard deviation o= 1. Plot a histogram of the random signal histogram(x,64) with the second parameter specifying the number of "bins". Matlab counts how many numbers in r[n] fall within a particular bin's edges. How many numbers are in the "0" bin and the "2" bin? In which bin (or bins) have the highest concentration of numbers? Where are the bins that have very few or no numbers at all, mostly located? Calculate the mean and standard deviation of the generated signal using the functions mean and std. • Plot the discrete-time random signal a[n] with respect to n. Label both axes. Note that x[n] is a discrete-time signal and not a continuous-time signal and the plot should take this into consideration. Also note that (pseudo-)randomly generated signal is real-valued. (Warning: It is virtually impossible for any two of you to have the same plot.) • In this task, four plots are required in a single figure with a 2 x 2 subplot arrangement. First, use fft to calculate the 256-point DFT of the random signal obtained in the previous task. Let the DFT be X[k]. Recall that the DFT is complex-valued and itself discretised, i.e. it is not a continuous function. In the first two subplot panes, plot the real and imaginary parts of X[k] respectively. In the third subplot pane, plot the magnitude of X[k] in decibel,i.e. 20*log10(abs(p)) assuming that p is the variable where the DFT has been saved. In the fourth subplot pane, plot the angle of X[k] in radians. All plots are with respect to k; label the horizontal axes as k and the vertical axes with an appropriate label. • Calculate the average or mean of the following parts of the DFT obtained in the previous task: the real part, the imaginary part, the magnitude (dB) and the angle.

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matlab code clc clear all close all N4 here we are dealing with 4 point DFT he... View the full answer