hw2-2 - ECE130B Jan 10 2010 Home work 2 Due date Jan 20...

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Unformatted text preview: ECE130B Jan. 10, 2010 Home work 2 Due date : Jan. 20, 2010 (Wednesday), by 5 p.m. at the home work box. Reading assignment . Chapter 3 of the text book, including both discrete and continuous Fourier series. Square wave . A square wave of period T is denoted by s ( t ) and is given by the formula, s ( t ) = braceleftbigg 1 , if lessorequalslant t mod T < T /2 ,- 1 , if T /2 lessorequalslant t mod T < T , where t mod T is the unique number r between and T that makes t- r exactly divisible by T ; that is, there exists some integer N , such that t = N T + r . Note that N can be a negative integer or even 0. Triangular wave . A triangular wave of period T is denoted by τ ( t ) , and is given by the for- mula, τ ( t ) = 4 T t ′- 1 , if lessorequalslant t ′ < T /2 , 3- 4 T t ′ , if T /2 lessorequalslant t ′ < T , where t ′ = t mod T . Parabolic wave . A parabolic wave of period T is denoted by q ( t ) , and is given by the for- mula, q ( t ) = 8 T 2 t ′ (...
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This note was uploaded on 04/06/2010 for the course ECE 130b taught by Professor Staff during the Winter '08 term at UCSB.

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hw2-2 - ECE130B Jan 10 2010 Home work 2 Due date Jan 20...

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