HW_9_sol - HW 9 ECE 2704 Due 11-13-06 8.1.4 Consider the...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
DKL:11/13/06 HW 8 1/5 HW 9 ECE 2704 Due 11-13-06 8.1.4 Consider the amplitude and phase spectra shown in Figure P8.1.4. (a) What is the fundamental period of this signal? (b) Write the corresponding Fourier series in exponential form. (c) Write the corresponding Fourier series in cosine form. (d) Write the corresponding Fourier series in trigonometric form. See Table 7.6.1 Figure P8.1.4 Solution This problem illustrates the relationship between the amplitude and phase spectra, Definition 8.1.2, and the corresponding signal. (a) The fundamental frequency of this signal is ! 0 = 2 rad/sec . Therefore, the fundamental period is T 0 = 2 ! " 0 = 2 ! 2 = ! (b) The Fourier series in exponential form is x ( t ) = 0.8 e j 3 ( ) e ! j 4 t + 0.3 e j 2.5 ( ) e ! j 2 t + 0.1 + 0.3 e ! j 2.5 ( ) e j 2 t + 0.8 e ! j 3 ( ) e j 4 t (c) The Fourier series in cosine form is x ( t ) = 0.1 + 0.6cos(2 t ! 2.5) + 1.6cos(4 t ! 3) Using
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
DKL:11/13/06 HW 8 2/5 A m = 2 X m , ! m
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/01/2008 for the course ECE 2704 taught by Professor Djstilwell during the Fall '08 term at Virginia Tech.

Page1 / 5

HW_9_sol - HW 9 ECE 2704 Due 11-13-06 8.1.4 Consider the...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online