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Write a MATLAB function called pgm which calculates the periodogram. The function inputs should be the length input vector x and its output should be the length N periodogram estimate Pxx. Generate a length N discrete random signal with the randn function and use the pgm to estimate the PSD for N = 128, 256, and 512. Inspect and comment upon the results. The theoretical autocorrelation function for this discrete Gaussian random signal equals σ2δ (i.e. there is zero similarity between the signal and a shifted version of it), where is the standard deviation of the random signal; for the above random signal (see help randn), is equal to 1. Therefore its true PSD is a constant, unity, for all frequencies. Such a signal is referred to as white noise because it has a constant spectrum independent of frequency, as an, albeit approximate, analogy with white light. The difference between this ideal PSD and those estimated with the datasets is due, in part, to their ?nite lengths. One method to improve these estimates is to apply frequency domain smoothing.
- Employ the ?lt?lt command within MATLAB to smooth the PSD estimates with a zero phase FIR ?lter with impulse response sequence 0.2*[1 1 1 1 1]. Does this improve the apparent PSD estimate?
- Generate a length 1024 discrete random signal with the randn function and sub-divide the signal into eight separate 128 point signals. Estimate the PSD for each length 128 signal and display on two plots the eight results (Note: Break each window into 2× 2 sections. Read help ?gure on how to obtain the second window). Notice the variation of the estimates.
- These eight results can be averaged to yield a new PSD estimator called the averaged periodogram which has less variation than the individual PSDs. Display this result.
Hold and legend function: hold: is a toggle which freezes the present graph in the figure window, so that the new plots will be superimposed on the present one. Just hold
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1. Enter the 3×4 matrix Let a ij denote the entry of A in the ith row and jth column. Use Matlab to compute the following : (a) a 13 + a 32 (b) Three times the
I would like to ask if its possible to get help programing in matlab. If yes - how can I get help ?
Damped free vibrations can be modelled by considering a block of mass m that is attached to a spring and a dashpot as shown. From Newton's second law of motion, the displac
The Format Function and ellipsis: The default in MATLAB is to show numbers which have decimal places with four decimal places. The format command can be used to identify the o
Appending data to a data File: A text file once exists; the data can be appended to it. The format is similar as formerly, with the addition of the qualifier -append. For illu
use the loop for to produce [-1 -1 -1 -1; 0 -1 -1 -1; 0 0 -1 -1; 0 0 0 -1]
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Digging the Dirt: Autonomous Mining Robots Mining is a multi-billion dollar industry and a critical part of the Australian economy. Much of the day-to-day work on mining sites
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