Homework for Day 1Warning: The hard deadline has passed. You can attempt it, but you will not get credit for it. You are welcome to try it as a learning exercise. Help Every question is rated with its difficulty, that is indicated with the number of stars. ⋆: Easy questions, there should be enough to get the 40% of the maximum grade. ⋆ ⋆: Medium difficulty. ⋆ ⋆ ⋆: Hard questions The scores and the explanations for each questions will be available after the hard deadline. In accordance with the Coursera Honor Code, I (Juan Carlos Vega Oliver) certify that the answers here are my own work. Question 1 (Difficulty: ⋆) What are the advantages of using digital signals over analog ones? Choose the correct answer(s). Digital signals can be easily stored. Processing of digital signals can be easily implemented in modern computers. Physical quantities are naturally represented by digital signals. Digital signals are more robust to noise. Question 2 (Difficulty: ⋆) Which one(s) of the following signals is/are digital? Photo recorded using a photographic film. Music recorded on a CD. The image of a book page on a Kindle. Music listened by the audience at a live concert. that is double lowercase 'o' (without apostrophes). 2. = 1.5δ[n − 3] .5δ[n − 1] + 2. Choose the correct answer(s). y [n] = 0. single channel. The output at n does not depend on the input at n Question 5 (Difficulty: ⋆) A music song recorded in a studio is stored as a digital sequence on a CD. x[n] = δ[n] + 2δ[n − 1] + 3δ[n − 2]. or in other words.5δ[n] + 1. Infinity is written as 'oo'. Question 4 (Difficulty: ⋆ ⋆) Consider the following signal. Write the answer in the following format E x Px E y Py where you put the just one numeric value after the other with a single space between each value. The output for n ≥ 4 = 3 is always zero. Compute its moving average x[ n ]+x[ n −1] y [n] = 2 . . Compute their energy and power. where we call $x[n]$ the input and $y[n]$ the output. 3 y [n] and its periodic repetition y [n] = ∑ ∞ k =−∞ as x[n + 7 ∗ k] . How many samples should be stored on the CD? Write the number of samples without commas or dots. The analog signal representing the music is 2 minutes long and is sampled at a frequency f s = 44100 s −1 .Question 3 (Difficulty: ⋆ ⋆) Define a digital signal x[n] as x[n] = { 0 for n ≤ 0 and n ≥ 4 (−1) n n for n = 1.5δ[n − 2] + 1. Assume that the audio file is mono. y [n] = (bax[n] + x[n − 1]) + (cx[n − 3] + x[n − 4]) . y [n] = b (ax[n] + x[n − 1]) − (cx[n − 3] + x[n − 4]) .Question 6 (Difficulty: ⋆ ⋆ ⋆) Given the following filter What is the input-output relationship? y [n] = b (ax[n] + x[n − 1]) − (c + 1)x[n − 3] . N = 3 M = 5. N = 15 N? P (in samples) of the signal ej(M / N )2 πn for the Please write the three values of P one after the other. Question 7 (Difficulty: ⋆ ⋆) What is the minimum period following values of M and M = 1. with just one white space between each other. . N = 7 M = 35. y [n] = abx[n] + bx[n − 1] + cx[n − 3] − x[n − 4] . download the *.wav file here.Listen To My Heart The Beatles . Which song starts with this initial chord? The Who . 0:04 (if you have problems seeing or using the player.Question 8 (Difficulty: ⋆)Listen to the following chord produced by an opportunely tuned KS algorithm.A Hard Day's Night In accordance with the Coursera Honor Code.Won't get fooled again Rolling Stones .Wild Horses Ramones . Submit Answers Save Answers You cannot submit your work until you agree to the Honor Code. I (Juan Carlos Vega Oliver) certify that the answers here are my own work. Thanks! .