Homework 2

Homework 2#

Chapter 4

Collaboration is authorized as noted in the syllabus Collaboration policy.
All homework must be complete, error-free, and neatly organized. Points may be deducted for sloppy and illegible work.
Answers should be clearly indicated by a box.
Use engineering notation with proper units.
Submit work to Gradescope with pages assigned to each problem. Scans/uploads must be legible and neat without excessive margins.

4.2-8 –> Ignore the typo ‘]’ after \(m_2(t)\). Just sketch the plot by hand, ensuring your plot is neat and legible. Remember what the Fourier transforms of sinc and sinc \(^2\) are.
4.3-6 –> Very similar to problem we went over in class!
4.5-1 –> FM: sketch by hand, but be sure to indicate what the minimum and maximum instantaneous frequencies are (\((f_i)_{min}\) and \((f_i)_{max}\)). PM: sketch by hand; HINT: write out the equation for \(f_i\) for PM with \(\dot{m}(t)\) determined from the plot; indicate the minimum and maximum instantaneous frequencies (\((f_i)_{min}\) and \((f_i)_{max}\))
4.5-4
4.6-1
4.6-4
4.6-6 –> For Part (b), \(m(t)=2sin(2000\pi t)\). For Part (c), \(m(t)=sin(4000\pi t)\).