Varying Sine Waves s(t) = Asin(2ft +)
{"Image DocumentName": "Varying Sine Waves s(t) = Asin(2\uf070ft +\uf046)", "Image ImageDescription": "The general sine wave can be written. s(t) = A sin(2\u03c0ft + f) A function with the form of the preceding equation is known as a sinusoid. Stallings DCC9e Figure 3.3 shows the effect of varying each of the three parameters. In part (a) of the figure, the frequency is 1 Hz; thus the period is T = 1 second. Part (b) has the same frequency and phase but a peak amplitude of 0.5. In part (c) we have f = 2, which is equivalent to T = 0.5. Finally, part (d) shows the effect of a phase shift of \u03c0/4 radians, which is 45 degrees (2\u03c0 radians = 360\u02da = 1 period). In Stallings DCC9e Figure 3.3, the horizontal axis is time; the graphs display the value of a signal at a given point in space as a function of time. These same graphs, with a change of scale, can apply with horizontal axes in space. In this case, the graphs display the value of a signal at a given point in time as a function of distance. For example, for a sinusoidal transmission (e.g., an electromagnetic radio wave some distance from a radio antenna, or sound some distance from a loudspeaker), at a particular instant of time, the intensity of the signal varies in a sinusoidal way as a function of distance from the source. Data and Computer Communications, Ninth Edition by William Stallings, (c) Pearson Education - Prentice Hall, 2011.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}