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Suppose you have an Analog-to-Digital Converter (or ADC) with 12 bits of precision, and the manufacturer claims it has the transfer function x = floor(4096×v/5 ) for input voltage vΣ [0, 4.9999] (where x is the digitized result you get). The resulting x can be interpretedas representing the input voltage using the relationship v = 5×x/4096 (here, vis a random variable - don't confuse it with the original input voltage v!)We can then create a new random variable, e = v - v, which represents the digitization error for any reading.To simplify for you, you'll get integers n, from n = 0, 1, 2, ..., 4095, and these integers will represent voltages. (n will represent the voltage n × ρ, where ρ= 54096 ).(a) Assume that the random variable v - v is uniformly distributed on the range [0, 5 4096 ]. What are the worst-case and the average errors if you make a single reading?(b) Suppose we add a small amount of noise, uniformly distributed on an interval ρ, ρ], to the (non-random) input voltage v, which we'll assume happens to take a value such that the the error is the worst-case value. Approximately how many samples must we use so that the average of them approximates v to within plus or minus .0001?
a series parallel circuit with a 3V dc power source connected to 3 resistors. R1 and R2 are in series with the voltage source and R3 is in parallel with R2. It is given that 4amps is flowing through R1 and 2amps is flowing through R2.
The signal x(t) = 2 - sin(4.5t - pi / 4) + 3 cos (24t + pi / 2) is input into a system with frequency response H(omega). Find the output signal y(t) if: H(omega) = rect(omega/80) H(omega) = 2 - 2rect(omega/8) H(omega) = sin c(omega/20)
Binary data is transmitted through an Additive White Gaussian Noise (AWGN) channel with SNR=3.5 dB and bandwidth B. Channel coding is used to ensure reliable communications. Then: i. What is the maximum bit rate that can be transmitted
a second instrument is required to measure the input signals up to 100Mz with an amplitude inaccuracy of less than 1% calculate the natural frequency requirements, if the damping retios are 0.3 and 0.6 respectively.
What is the minimum bandwidth needed to achieve a data rate of 8 bits/ second if the signal is transmitted using NRZ, MLT-3 and Manchesster encoding
Design a circuit that has 4 inputs, WXYZ, and two outputs, f and g, where W is the most and Z is the least significant bit. The output f is asserted whenever the two-bit number WX is greater than the two-bit number YZ.
Consider an n-Si with doping of 9*10^16cm^-3. In a certain region of this sample, there is an electric field of 1000V/cm. Estimate the electron and hole drift velocity and the total drift current density in that region.
A lossless transmission line is embedded in a medium having a dielectric constant of 9. The per-unit length capacitance of the line is given as 100 pF/m. a.Find the wave velocity in the medium.
Indicate what data type you would use for the following variables: (a) the temperature (b) the number of days in a week (c) the number of days in a year (d) the number of months in a year
What are the types of motor Which motor is user in Car Engines which is the most efficient motor How much electricity is needed for single rotation of general motor
The Hamming distance between two bit strings of the same length is the number of positions in which the strings have different bit values. For example, the Hamming distance between 1110 and 0101 is 3.
A voltage source with voltage Vs = V0 sin(pi*t) is driving a load of RL = 100 Ohms. The load is connected to the source by a transmission line with characteristic impedance Z0 = 50 Ohms. The velocity of propagation on the line is 2 108 m/s.
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