MT2_practice.pdf - Midterm 2 ECE 301 NAME ID Instructions 1 There are 4 questions Try to answer all questions 2 Do not open the booklet unless

MT2_practice.pdf - Midterm 2 ECE 301 NAME ID Instructions 1...

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Midterm 2 ECE 301 NAME: ID Instructions: 1) There are 4 questions. Try to answer all questions. 2) Do not open the booklet unless instructed to do so. 3) Write legibly and show all your steps. 4) Do not copy or cheat. 5) No notes, formula sheets or calculators are allowed in this exam.
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1. Find the Fourier Series for the signal x[n], with period N=9: (No need to plot the spectrum, just finding the Fourier coefficients is enough) 𝑥𝑥 [ 𝑛𝑛 ] = 1 + sin 2 𝜋𝜋 𝑁𝑁 𝑛𝑛� + 5 cos 2 𝜋𝜋 𝑁𝑁 𝑛𝑛� − 2 cos( 4 𝜋𝜋 𝑁𝑁 𝑛𝑛 )
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2. Find the Fourier series for the following discrete-time periodic signal x[n], with 𝑁𝑁 1 = 4 and the period 𝑁𝑁 = 10. (No need to plot the spectrum, just finding the Fourier coefficients is enough)
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3. (a) Find the Fourier Transform for the following signal
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