Homework 2

Reading

Chapter 8 in Oppenheim & Wilsky

Problems

8.1 Let be a signal for which $X(j\omega) = 0$ when $\vert\omega\vert>\omega_M$ \omega_M$" align="middle" border="0" height="31" width="68" />. Another signal is specified as having the Fourier transform $Y(j\omega) = 2X(j(\omega-\omega_c))$ . Determine a signal such that .
8.2 Let be a real-valued signal for which when 1,000\pi$" align="middle" border="0" height="31" width="92" />. Supposing that , answer the following questions:
1. What constraint should be placed on $\omega_c$ to ensure that is recoverable from ?
2. What constraint should be placed on $\omega_c$ to ensure that is recoverable from $\Re\{ y(t)\}$ ?
8.3
8.22
8.26
8.28

Citation: admin. (2006, June 29). Homework 2. Retrieved November 24, 2009, from Free Online Course Materials — USU OpenCourseWare Web site: http://ocw.usu.edu/Electrical_and_Computer_Engineering/Communication_Systems_I_1/hw2.html.