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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 5 Issued: 24 October 2008 Due: 31 October 2008, 5pm The continuing thread of achievement in information transmission has been what can be termed the ”mastery of frequency.” Continuous signals such as those of speech can be dissected into their frequency components. The understanding of this principle led to the conscious manipulation of frequency. Today frequency waves are altered by filters, modulated with speech, shifted higher or lower in the frequency spectrum, sampled and recon- structed, narrowed or spread in bandwidth, and purposely mixed with noise. These techniques led to radio, television, cell phones, beautiful pictures from Mars, and computer networks. This mastery is one of the highlights of information science. a a Excerpts from Information Science , by David D. Luenberger, Princeton University Press, 2006, ISBN: 0-691-12418-3. 1 Policy Statement • You are encouraged to collaborate, but only in a group of up to five 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 effort. • 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 fide effort at tackling every assigned problem. • If you are asked to ”sketch” a function, it means that you must provide a hand- drawn sketch, and not a plot generated by a computing device. • On occasion, a problem set contains one or more problems designated as ”op- tional.” We do NOT grade such problems. Nevertheless, you are responsible for learning the subject matter within their scope. Topics System properties, convolution, discrete-time filtering, continuous-time filtering. Reading and Coverage For this problem set, and certainly by Midterm 2, you should be thoroughly comfortable with the contents of Appendices A and B, as well as Chapters 1-2, Chapter 7 ( § 7.1- 7.4 and § 7.6.1), Chapter 8 (beginning through § 8.2.1, and then from § 8.5 to the end of the chapter), and Chapter 9 in the textbook (Lee & Varaiya). Moreover, you are responsible for all subject matter covered in lectures, discussion sections, and labs by 30 October 2008—even if it is not explicitly addressed in the textbook....
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This note was uploaded on 11/23/2008 for the course EECS 20n taught by Professor Babakayazifar during the Spring '08 term at Berkeley.
- Spring '08