Implement sampling and reconstruction in Simulink with the following specifications.
• x(t) is a sinusoid with 70Hz with amplitude 1 with sample period 1/20000s for 1s time interval
• Zero-Order-Hold (ZOH) sampling
• Sampling frequencies: 80Hz, 400Hz, and 1000Hz. Changed by applying the corresponding sampling times in second in the zero-order hold sampling time block.
a) Build a SIMULINK model to sample x(t) with ZOH sampling method with different sampling frequencies listed in the specifications. Output the data generated to the MATLAB workspace. Include screenshot of your SIMULINK block diagram.
Note: You will need the following SIMULINK blocks: “Zero-Order Hold” block is under Simulink->Discrete and “To Workspace” block is under Simulink->Sinks.
You may notice the “To Workspace” symbol above has one input and no output. What it does is to write its input to the MATLAB workspace. The block writes its input to an array or structure (based on how you set its “Save Format” parameter). For this assignment, set “Save Format” to “Structure with time”. The name of the array or structure is specified by the block’s “Variable name” parameter with “simout” as the default name. Array or structure contains not only the input, but also some information about the input. To access the input data with name “simout”, you can use the commands below:
>> Time = simout.time;
The above commands generate a time series that can be plotted with plot(Time, Data).
a) Run the above SIMULINK model with different sampling frequencies listed in the specifications. After each run, type the commands in Part a) at command line to save the results in the workspace. Make sure to use different variable names such as data80, time80, data400, time400, etc. Write a MATLAB program to plot the sampled signals and the frequency magnitude character of the sampled signals with FFT. Include your MATLAB code and figures. Compare results and discuss your observations. (Hint: an example of how to plot FFT is in Lab 1 Manual Section 2.4.)
b) Design a discrete low-pass Butterworth filter of order 6, sampling rate of 20,000Hz. Use “lsim” to simulate signal reconstruction. Your data from (a) needs to be upsampled first (see note below) before passing through the filter you designed. Specify the proper cut-off frequency of the filter. Provide the transfer function. Plot the upsampled signals and the frequency magnitude plot of the reconstructed signals (80, 400, 1000 Hz sampling rates as in (a)) with FFT. Include your MATLAB code and figures. Compare results and discuss your observations.
In the MATLAB code provided in Section 5 of the lab manual, we created a sinusoid with frequency 1 kHz. We used a high sampling frequency of fs = 44.1 kHz that represents a fairly good approximation of the continuous time signal. Copy the MATLAB code and run it in a script.
a) Include the plots generated.
b) Compare the analytical continuous-time Fourier transform with its FFT computation. Discuss your observations
In the MATLAB code provided in Section 6 of the lab manual, we sampled the same sinusoid (1 kHz) in Task 2 at a lower sampling rate (fs/4) to observe the aliasing effects. Copy the MATLAB code and run it in a script. You must have all the variables from Task 2 in the MATLAB workspace for this to work.
a) Include the plots generated.
b) By looking at the plots, explain whether aliasing effects have increased or decreased
In the MATLAB code provided in Section 7 of the lab manual, we used upsampling to “interpolate” the values of the low rate signal and converted it to a high rate signal and then passed the signal through a low pass filter to recover the original signal. Copy the MATLAB code and run it in a script. You must have all the variables from Task 2 and 3 in the MATLAB workspace for this to work.
a) Include the plots generated.
b) Discuss the effects of aliasing of the reconstructed signal and any effect it may have had on how it sounds based on the results you see from running the code.
In the MATLAB code provided in Section 8 of the lab manual, a frequency equalizer is implemented. Copy the MATLAB code and run it in a script.
a) Try three different sets of values for the equalization coefficients and include the frequency response plots generated.
b) Does the frequency response correspond to what you entered as coefficients in all three cases? Explain by using the plots from part a).
Hank Green Biography Distributed: sixteenth October, 2017 Last Edited: sixteenth October, 2017 Disclaimer: This exposition has been presented by an understudy. This isn’t a case of the work composed by our expert article scholars. You can see tests of our expert work here. Any feelings, discoveries, conclusions or proposals communicated in this material are those of the writers and don’t really mirror the perspectives of UK Essays. William Henry “Hank” Green was conceived on the 5 May 1980, he is a business visionary, artist and vlogger (goodreads, n.d). In 2007, Hank Green transferred his first video onto the YouTube channel VlogBrothers as a major aspect of a venture called Brotherhood 2.0. The objective of this was to speak with his sibling John exclusively through video sites for multi year, with the conceivable special case of telephone calls (Green, 2007). After fraternity 2.0 finished, Hank and John consented to keep delivering video sites (Burgin, 2013). Starting today they have more than 2.5 million devotees, and 1300 video transfers (VidStatsx, 2015). Green is likewise engaged with various different channels. He and his sibling John made and built up the instructive YouTube station Crash Course (PBS, n.d), he is the maker (Green, n.d) and a large group of SciShow, a science training YouTube station (Stone, 2014), and a designer of the Lizzie Bennet Diaries (LBD), a web arrangement adjustment of Pride and Prejudice (Pemberly Digital, n.d). Green made Vidcon, a gathering for fanatics of online video in 2010 (Green, n.d), and is a co-maker of the Foundation to Decrease World Suck (Kliger-Vilenchik, 2013, p. 10), a non-benefit raising support establishment for other non-benefit associations (The Foundation to Decrease World Suck, n.d). Moreover, Green met the president alongside two different YouTubers after the State of the Union address (Colin and Megan, 2015). Hank Green’s profession would not exist without the huge impact of media merging on the stages through which media is circulated, made and devoured.. Jenkins characterizes media union as, “more than essentially an innovative move. Joining changes the connection between existing innovations, enterprises, markets, kind and gatherings of people” (Jenkins, 2004, p. 33). The most recognizable type of media joining in Green’s profession is innovative merging, which can be characterized as the amalgamation of innovation encouraging the circulation of data (Drula, 2014, pp. 47-51) Technological Convergence has given the social stages, for example, Facebook, YouTube, Tumblr and Twitter through which Green has amassed his crowd. Accordingly, he can connect with and disperse substance to his significant internet following. In conjunction with innovative joining, Industry and Content Convergence have in like manner impacted Green’s vocation. Industry Convergence alludes to “the obscuring of limits between businesses, incited by innovations and markets” (Bröring, et al., 2006, p. 487). Green’s YouTube stations, Crash Course and SciShow were initially supported through a YouTube allow (Mayrer, 2012), nonetheless, they have now banded together with the Television Network PBS Digital (Gutelle, 2014). Besides, Crash Course is presently accessible on DVD (DFTBA Records, n.d) and also SciShow (DFTBA Records, n.d), a show of Content Convergence. Moreover, The LBD web arrangement in like manner displays parts of Convergence, apparent inside its transmedia story. Transmedia is a mode in which fans are urged to watch characters from an account past the developed obstructions, bringing about access to more data and further drenching in the story (Stanfill, 2013). LBD depicts Lizzie Bennet and her sister Lydia Bennet as vloggers, and Jane Bennet as a form blogger, with the story occurring over an extensive variety of internet based life stages (Stein, 2013). And also Media Convergence, Globalization has furthermore affected on Green’s Career. The undeniably globalized nature of the media and innovation businesses have empowered Green’s huge commitments to philanthropy and instruction all through his profession. Globalization alludes to the developing scale and impact of “cross-country streams and examples of social collaboration (… ) a move or change in the size of human association that connections far off networks and grows the scope of intensity relations over the universes districts and landmasses” (Held and McGrew cited in Flew, 2007). Besides, Warlaumont acquires regard for the web’s part globalization because of its capacity to associate people through computerized mediums, permitting correspondence between gatherings of individuals from various social foundations and ways of life (Warlaumont, 2010). Hank Green has used the potential effect of his worldwide gathering of people, through pushing his help of various philanthropies, and helping to establish associations, for example, the Foundation to diminish World Suck. Not exclusively is Hank Green’s vocation one I would wish to imitate, however his energy for the YouTube stage, and in addition his group of onlookers, is motivating. Hank Green began video blogging in 2007, initially when there was no real way to monetise content. All through Google’s securing of YouTube, and YouTube giving gifts to stations the objective of making extra substance, Green’s objective continued as before, to give content that is drawing in and rewards watchers with an advancing and instructive experience (http://www.usnews.com/news/stem-arrangements/articles/2015/03/11/hank-green-cherishes science-and-needs others-to-love-it-as well). Besides, the network that has created around Nerdfighteria has given a sheltered space to people and gatherings to talk about thoughts and qualities without judgment. Vidcon, is a physical portrayal of general society circle, as in it is where people can accumulate out of a common want to face off regarding, talk about and touch base at a more profound comprehension of the belief systems encompassing the YouTube people group, and more extensive networks all in all (http://capitalistcreations.com/the-vlogbrothers-have-transformed energy into-benefits and-prominence/). Besides, he has focused on media predisposition, because of the negative press in regards to his meeting with President Obama. In freely overlooking the predisposition of associations, for example, Fox News and CNN, he has basically gone about as a guard dog for the guard dogs, through policing the association that is intended to consider people with great influence responsible. Hank Green is a progenitor, and main impetus in the YouTube people group (http://missoulanews.bigskypress.com/missoula/hank-greens-business-is-simply magnificent/Content?oid=1582736).He speaks to what an individual can accomplish, as well as of the potential outcomes achievable from coordinated effort.>