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In digital communication systems, transmission of digital data is encoded using bandlimited pulses in order to utilize the channel bandwidth efficiently. Unfortunately, bandlimited pulses are nontimelimited; they have infinite duration, which causes pulses representing successive digits to interfere and possibly cause errors. This difficulty can be resolved by shaping a pulse p(t) in such a way that it is bandlimited yet causes zero interference at the sampling instants. To transmit R pulses/second, we require a minimum bandwidth R/2 Hz (see Prob. 3.1-11). The bandwidth of p(t) should be R/2 Hz, and its samples, in order to cause no interference at all other sampling instants, must satisfy the condition
where T = 1/R . Because the pulse rate is R pulses per second, the sampling instants are located at intervals of 1/R s. Hence, the preceding condition ensures that a pulse at any instant will not interfere with the amplitude of any other pulse at its center. Find p(t). Is p(t) unique in the sense that no other pulse satisfies the given requirements?
a) Calculate the distance the ball hits the ground from the goal line b) Calculate the quarter back's distance from the goal line when the ball hits the ground
We roll two fair six-sided dice. Find the probability ofthe following events: (a) The two dice show the same number. (b) The number that appears on the rst die is larger than the number on the second.
Develop a series 90-30 program that functions a motor forward/reversed controller. Design your circuit so that the STOP push button must be pressed before the motor can be switched direction
A charged particle starts from rest at the origin of coordinates in a region where there is a uniform electric field E parallel to the x-axis, and a uniform magnetic flux density B parallel to the z-axis. Show that the coordinates of the particle ..
Design the simplest circuit that has three inputs, X1,X2, and X3, which produces an output value of 1 whenever exactly one or two of the input variables have the value 1; otherwise, the output has to be 0.
Determine the approximate output rating (kVA) required for a portable alternator to be used as temporary supply on a single dwelling construction site. The loads to be supplied include: 1 x 1 kW single-phase capacitor start/capacitor run motor (bri..
Design a 7.5-V zener regulator circuit using a 7.5-V zener specified at 12mA. The zener has an incremental resistance r(z) = 30 ohms and a knee current of 0.5mA. The regulator operates from a 10-V supply and has a 1.2k-ohm load.
If the SCR of Fig. 13-41 has a gate trigger voltage of 1.5 V, a gate trigger current of 15 mA, and a holding current of 10 mA, what is the input voltage that triggers the SCR? The supply voltage that resets the SCR?
Prove that the voltage conversion gain of a sampling mixer approaches 6 dB as the width of the LO pulses tends to zero.
The internet connection speed at any time from your home can depend on the amount of overall internet trac at that time. Let the random variable X denote the speed of connection in megabits per second (MBPS).
Show that for large FFT lengths, the number of complex multiplications per output sample is approximately ν. Thus, beyond a certain FFT length, the overlap-save method is less efficient than the direct method. If P = 500, for what value of ν will ..
The resistance is 0.03 Ohms per phase per km and the line inductance is 0.7 millihenry per phase per km.- calculate the sending in voltage-the voltage regulation.
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