This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Assignment #07 w {3.1 ECSE—2410 Signals & Systems ~ Spring 2007’ Due: Tue 02/13/07 1. (25) F ind the average value (DC. value) of the foliowing periodic signals. (a) (10) x“ (0 m 13 sin (Jr/2) t I, which is the output of a rectiﬁer. Sketch xa (I) over several
periods. —1—t, w2<r<0 0 < r < I . .
, where xb (t) represents one period of the Sigma}. 3’!
(b)(15lxb(f)= w2~i~t, 1<r<2 0, eise Sketch xb (i) ever the interval, — 2 s t S 6. 2. (20) in the text, Problem 3.25, page 257. Euler’s equation is very helpful here. 3. (30). The periodic waveform shown can be expressed as an exponential Fourier series, CO
xa) = Zakefkwm L kﬁwm (a) (3) Find the period, T . (b) (7) Find the DC vaiue, a0 . (e) (20) Find a general expression for the other exponential Fourier coefﬁcients, ah , k at 0. Use properties and known formuias for basic Fourier series. No credit for direct
integration of the deﬁning formula for rank. Assignment #87 — 19.2 4. (25) Find the exponential Fourier series coefﬁcients, ak , for the periodic signal, b) (5) Find the DC vaiue, ag. e) (20) Again, ﬁnd a general expression for the other exponentiai Fourier coefﬁcients,
ak , k st 0 . Use properties and known formulas for basic Fourier series. There is no need for direct integration of the deﬁning formula for ak. ...
View
Full Document
 Spring '07
 WOZNY
 Fourier Series, Expression, Periodic function, exponential Fourier series, basic Fourier series

Click to edit the document details