generate a sample-by-sample average of the 100 sinewaves generated in part a and plot the resulting average waveform together

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

MATLAB exercise program for Gargi.

a)      Generate a set of sinewaves based on the following specifications.

where i=1,2,3,…, 100; ai is a uniformly distributed random number between 30 to 90; wi is a uniformly distributed random number with values between 2p/600 to 2p/400; qi is a uniformly distributed random number between p/8 to p/3; and n=[0:0.1:30].

b)      Using the 100 sinewaves generated in step a above, plot all the waveforms on one set of axes where the horizonal axis is n and vertical axis shows xi(n)’s.

c)      Generate a sample-by-sample average of the 100 sinewaves generated in part a and plot the resulting average waveform together with the 100 sinewaves on one set of axes. Please see figure 2 below as an example

 

d)      Repeat part a through c above 5 times. Make sure that for each of the 5 times, the random values for ai , wi and qi are distinct. Hence, you will get 10 plots: repeating a through c five times.MATLAB exercise program for Gargi.

 

a)      Generate a set of sinewaves based on the following specifications.

where i=1,2,3,…, 100; ai is a uniformly distributed random number between 30 to 90; wi is a uniformly distributed random number with values between 2p/600 to 2p/400; qi is a uniformly distributed random number between p/8 to p/3; and n=[0:0.1:30].

b)      Using the 100 sinewaves generated in step a above, plot all the waveforms on one set of axes where the horizonal axis is n and vertical axis shows xi(n)’s.

c)      Generate a sample-by-sample average of the 100 sinewaves generated in part a and plot the resulting average waveform together with the 100 sinewaves on one set of axes. Please see figure 2 below as an example

d)      Repeat part a through c above 5 times. Make sure that for each of the 5 times, the random values for ai , wi and qi are distinct. Hence, you will get 10 plots: repeating a through c five times. 

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