2. Given you have a real valued signal with the following single sided baseband signal spectrum: ↑ ❘m(f)| A f=0 500 750 Sketch the frequency domain of |X(f)| given: a. x1(t) =m(t)cos(2**5000*) b. x2(t)=m(t)cos(2**600) Frequency (Hz)

The bandwidth of a composite signal is the difference between the highest and the lowest frequencies contained in that signal. (a) If a periodic signal is decomposed into five sine waves with frequencies of 100, 300, 500, 700, and 900 Hz, what is its bandwidth? Draw the spectrum, assuming all components have a maximum amplitude of 10 V. (b) A periodic signal has a bandwidth of 20 Hz. The highest frequency is 60 Hz. What is the lowest frequency? Draw the spectrum if the signal contains all frequencies of the same amplitude. A non-periodic composite signal has a bandwidth of 200 kHz, with a (c) middle frequency of 140 kHz and 20 V as peak amplitude. The two extreme frequencies have amplitude of 0. Draw the frequency domain of the signal. (d) The period of a signal is 100ms. What is its frequency in kilohertz?

Determine whether or not each of the following signals is periodic. For periodic signals, determine their periods. a) x1[n] = E=-o{8[n – 3k] – 2 8[n – 1 – 3k]}. First plot the signal xı[n]. b) x2[n] = – x1[-n – 1]. First plot the signal x2[n]. c) x1(t) = et sin(2t) d) x2(t) = Even{sin(4tt) u(t)} . First plot the signal x2(t) %3D

By viewing a signal in the frequency domain you can determine which of the following: a. the frequency and period of the signal b. the signal’s bandwidth and whether it is a traverse of longitudinal wave c. signal amplitude and occupied signal bandwidth d. signal amplitude and sinusoidal period