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Lobe of the function becomes narrower and higher. The double-sided phase spectrumĬonsists of a line of height -π/2 radians at frequency 6 Hz and a line of height π/2 radiansĪ sketch shows that no matter how small ² is, the area is still 1. Height 1.5 and 2 at frequencies -6 and -8 Hz, respectively. The double-sided amplitude spectrumĬonsists of lines of height 1.5 and 2 at frequencies of 6 and 8 Hz, respectively, and lines of Of a line of height -π/2 radians at frequency 6 Hz. The double-sided amplitude spectrum consists of lines of height 2.5 at frequencies ofĦ and -6 Hz, and the double-sided phase spectrum consists of a line of height -π/6 radiansĪt frequency 6 Hz and a line of height π/6 at frequency -6 radians Hz.įrom this it is seen that the single-sided amplitude spectrum consists of lines of height 3Īnd 4 at frequencies 6 and 8 Hz, respectively, and the single-sided phase spectrum consistsĤ CHAPTER 2. Hz, and the phase spectrum consists of a single line of height -π/6 radians at frequency 6
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(a) The single-sided amplitude spectrum consists of a single line of height 5 at frequency 6 Using a similar procedure as used in (b), we find that n1 = 2, n2 = 3, n3 = 11,
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Using a similar procedure as used in (b), we find that n1 = 2, n2 = 7, and Single-sided amplitude Single-sided phase, rad. The two sets of spectra are plotted in Figures 2.1 and 2.2. = 10cos(4πt + π/8) + 6 cos(8πt + 3π/4 − π/2)įor the double-sided spectra, write the signal in terms of complex exponentials using Euler’s Tranter (SOLUTION MANUAL)įor the single-sided spectra, write the signal in terms of cosines: Tranter (SOLUTION MANUAL)Įxam (elaborations) TEST BANK FOR Principles of Communication Systems, Modulation and Noise 5th Edition By R.