This preview shows pages 1–4. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Problems and Solutions Section 7.3 (7.67.9) 7.6 Represent 5 sin 3 t as a digital signal by sampling the signal at /3, /6 and /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 /3 seconds. The next plot is sampled at /6 seconds. The next plot is sampled at /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 t ). Solution: f ( t ) = 120 sin (120 t ) (absolute value of the sine wave) To calculate the Fourier series: T = 1/120 sec T = 240 rad/sec a o = 240 120(120 29 1 120 480 = o a a n = 240 120(120 29 (240 29 1 120 ) 4 1 ( 480 2 n a n = b n = 240 120(120 29 (240 29 1 120 = f ( t ) = 240 1+...
View
Full
Document
 Winter '09
 Hill

Click to edit the document details