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If you feed the AM carrier current directly into a headset, fax machine, or whatever, you can t recover the data because the positive and negative peaks come by in such rapid succession that they cancel each other out A simple way to get the modulating waveform out of an AM signal is to cut off half of the carrier wave cycle The result (Fig 27-4) is fluctuating, pulsating dc The pulsations occur at the carrier frequency, the slower fluctuation is a duplication of the modulating audio or video This process can be done by passing the signal through a diode with a small

of 120 to 80, more than enough to include all the function values in Table 28-4 To plot the solution point, we can convert the values to decimal form and go to a couple of decimal places Then we get (x, y) = ( 067, 352) This point is shown as a solid dot in Fig 28-4 Once we ve plotted it, we fill in the graphs of the functions The approximate graph for y = 5x 3 + 3x 2 + 5x + 7 is the solid curve, and the approximate graph for y = 2x 3 + x 2 + 2x + 5 is the dashed curve

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Do you wonder about the cubic curves in Figs 28-3 and 28-4 They re a lot different from the graphs of quadratics! The graph of a cubic function always has one of six characteristic shapes, as shown in Fig 28-5 They all look rather like distorted images of the letter S tipped on its side, perhaps flipped over backward, and then extended forever upward and down Unlike a quadratic function, which has a limited range with an absolute maximum or an absolute minimum, a cubic function always has a range that spans the entire set of real numbers, although it can have a local maximum and a local minimum The graph of a cubic function also has something else that you ll never see in the graph of a quadratic: an inflection point, where the curvature reverses direction The contour of the graph depends on the signs and values of the function s coefficients and constant If you want to get familiar with how the graphs of various cubic functions look, you can conjure up a few cubic functions with assorted coefficients and constants Then plot a couple of dozen points for each function, and connect the points with smooth curves But don t spend too much time at this A book devoted to the art of graphing cubic and higher-degree functions could consume thousands of pages! You ll learn more about graphing functions when you take a course in calculus

Detection of CW signals 505 enough capacitance so that it follows the carrier frequency A transistor, biased for class-B operation, can also be used The rapid pulsations are smoothed out by passing the output of the diode or transistor through a capacitor of just the right value The capacitance should be large enough so that it holds the charge for one carrier current cycle, but not so large that it smooths out the cycles of the modulating signal This scheme is known as envelope detection It is used extensively for reception of AM audio and video

33 What can be done to minimize the capacitance of the P-N junction in a semiconductor diode, thereby making the component effective as a high-speed RF switch (a) The surface area of the P-N junction can be maximized (b) A layer of intrinsic semiconductor can be placed between the P- and N-type materials (c) The frequency of the applied signal can be made as high as possible (d) The diode can be forward-biased with a high voltage (e) A small-value resistor can be connected in series with each of several diodes, and the series diode-resistor combinations can all be connected in parallel 34 Which type of modulation consists of one voice sideband, with a suppressed carrier (a) AM (b) LSB (c) FM (d) RTTY (e) PCM 35 Suppose a series-parallel network of resistors is assembled into an RF attenuator pad, which is a circuit deliberately intended to produce a constant signal loss over a wide band of frequencies If the input RF voltage to this attenuator pad is 500 V and the output RF voltage is 100 V, what is the loss in decibels (a) 140 dB (b) 699 dB (c) 500 dB (d) 140 dB (e) 0699 dB 36 In an AND gate, the output is high (a) if any input is high (b) only when all inputs are low (c) if any input is low (d) only when all inputs are high (e) only when all inputs have identical logic states 37 A voltage-controlled oscillator makes use of (a) a varactor diode (b) a Zener diode (c) negative feedback (d) a split capacitance (e) adjustable gate or base bias 38 The best electrical ground for a power supply is obtained by (a) connecting a small-value capacitor between the hot wire and a good earth ground, such as an 8-ft copper rod driven into the earth.

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