SolSec7.3

# SolSec7.3 - Problems and Solutions Section 7.3(7.6-7.9 7.6...

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Unformatted text preview: Problems and Solutions Section 7.3 (7.6-7.9) 7.6 Represent 5 sin 3 t as a digital signal by sampling the signal at π /3, π /6 and π /12 seconds. Compare these three digital representations. Solution: Four plots are shown. The one at the top far right is the exact wave form. The one on the top left is sampled at π /3 seconds. The next plot is sampled at π /6 seconds. The next plot is sampled at π /12 seconds. None of the plots give the shape of a sine wave. However if the s3 is connected by lines, the wave shape is close. 7.7 Compute the Fourier coefficient of the signal |1120 sin (120 π t )|. Solution: f ( t ) = |120 sin (120 π t )| (absolute value of the sine wave) To calculate the Fourier series: T = 1/120 sec T ϖ = 240 π rad/sec a o = 240 120σιν(120 πτ 29 δτ 1 120 ∫ π 480 = o a a n = 240 120σιν(120 πτ 29 χοσ(240 πντ 29 δτ 1 120 ∫ ) 4 1 ( 480 2 n a n- = π b n = 240 120σιν(120 πτ 29 σιν(240 πντ 29 δτ 1 120 ∫ = ν β f ( t ) = 240 π 1+...
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SolSec7.3 - Problems and Solutions Section 7.3(7.6-7.9 7.6...

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