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Unformatted text preview: EECS 20N: Structure and Interpretation of Signals and Systems Department of EECS University of California Berkeley Problem Set 4 Issued: 05 November 2010 Due: 15 November 2010, 6pm A Hard Day's Night (from www.npr.org) The jangly opening chord of The Beatles' hit \A Hard Day's Night" is one of the most recognizable in pop music. But for decades, guitarists have puzzled over exactly how that chord was played. So a mathematician in Canada looked into how The Beatles produced that sound back in 1964, before the synthesizers and studio electronics available today. On npr.org, host Scott Simon discusses the ndings with Stanford professor Keith Devlin. \Sounds themselves are very mathematical things," Devlin says. "And that was the key to unraveling this particular mystery of this sound." Using sound-wave analysis based on the 1820s work of French scientist Joseph Fourier, Dalhousie University's Jason Brown deconstructed the opening chord with the help of basic audio-editing software. Brown found that it isn't purely guitar and bass, as previously assumed ... Beatles producer George Martin played a ve-note chord on the piano as well. See http://www.npr.org/templates/story/story.php?storyId=98743259 for the full story. 1 Policy Statement We encourage you to collaborate, but only in a group of up to ve current EECS 20N students. On the solution document that you turn in for grading, you must write the names of your collaborators below your own; each teammate must submit for our evaluation a distinct, self-prepared solution document containing original contributions to the collaborative e ort. Please write neatly and legibly, because if we can't read it, we can't grade it. Unless we explicitly state otherwise, you will receive full credit only if you explain your work succinctly, but clearly and convincingly. Typically, we evaluate your solutions for only a subset of the assigned problems. A priori, you do not know which subset we will grade. It is to your advantage to make a bona de e ort at tackling every assigned problem....
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