Homework answers / question archive / Please help me with completing the MATLAB lab work (Audio Processing) using applications pertaining to Linear Algebra   Q1 Bases for N-Dimensional Vectors 10 Points Assume we consider all audio(n) signals of length , use to define a basis for

Please help me with completing the MATLAB lab work (Audio Processing) using applications pertaining to Linear Algebra   Q1 Bases for N-Dimensional Vectors 10 Points Assume we consider all audio(n) signals of length , use to define a basis for

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Please help me with completing the MATLAB lab work (Audio Processing) using applications pertaining to Linear Algebra
 

Q1 Bases for N-Dimensional Vectors 10 Points Assume we consider all audio(n) signals of length , use to define a basis for . How do you write this basis in matrix form? Define this matrix as in script1.m in Matlab. Submit both your explanation and your code here. Explanation: Enter your answer here Matlab Code Snippet: Enter your answer here Save Answer

 Q2 Standard Basis for N-Dimensional Vectors 5 Points Find the representation of audio(n) in terms of the standard basis (the Identity matrix, with dimension ). In other words, if is our N δ(n) R N A N × N b Choose Files No file chosen 10/2/22, 10:02 PM Submit Lab 4 | Gradescope

Q3 DCT Matrix as a Basis 15 Points In the section provided in script1.m , generate the DCT matrix of size using dctmtx() . Next, write code to prove that is a basis for . Finally, write out your justification for your procedure. Submit both your justification and your code here. Explanation: Enter your answer here Matlab Code Snippet: Enter your answer here Save Answer

Q4 DCT Vectors as Elementary Audio Signals 20 Points A R N x Ax = b ADCT N ADCT R N Choose Files No file chosen 10/2/22, 10:02 PM Submit Lab 4 | Gradescope

The DCT vectors can be viewed as elementary audio signals, each representing some elementary audio frequency. They are ordered by frequency, with the first column in the matrix corresponding to the lowest frequency. Write code to play back each of the basis vectors to show that they lead to increasing frequency. Submit your code here. Matlab Code Snippet: Enter your answer here Save Answer

Q5 Representing Signals in Terms of a New Basis 20 Points We are given a signal audio(n) : find its representation in terms of the DCT basis (the columns of ) by formulating and solving a linear system of equations. Submit your code here. Matlab Code Snippet: Enter your answer here Save Answer

Q6 Audio Processing 25 Points ADCT ADCT Choose Gradescope Design an audio processor that removes the higher frequencies from audio and plays it back. For example, since the given audio signal has length you could remove the largest frequencies. Next, repeat the experiment by removing the lowest frequencies. Provide code for both versions of this experiment. Describe your findings by listening to the processed audio signal with different amounts of low or high frequencies removed (in other words, change and repeat for each of the two versions of the experiment). Compare your results between removing the low or the high frequency vectors. Submit both your observations and your code here. Explanation: Enter your answer here Matlab Code Snippet: Enter your answer here Save Answer

Q7 Code Submission 5 Points Submit your completed script1.m code here. Please make sure you've answered each question in the appropriate section and used meaningful variable names and comments to help us understand what you did. Please select file(s)