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1. Humans can hear sounds at frequencies between 0 and 22.05 kHz. What minimum sampling rate should be choosen to permit perfect recovery from samples?
2. Determine the Nyquist sampling rate for each of the following analog signals:
a. x(t)=cos(20t+12deg.)
b. xx(t)=2sin(5000pi t/3)
c. x(t)=sin(3000pi t/7)
3. A voice signal is sampled at 8000 samples per second.
a. What is the time between samples?
b. What is the maximum frequecy that will be recovered from the signal?
4. A cell phone transmits voice signals on a carrier. the transmissions lie inbetween 900MHz to 900.03MHz. What minimum sampling rate should be choosen so that the transmisions will be recoverable from the digital samles?
5. Voltages between -3V and +3V must be digitized. Find the Quatization step size when samples are quatized using:
a. 4 bits
b. 8 bits
c. 16 bits
6. How many digital codes can be prodced by an A/D converter using:
a. 8 bits
b. 10 bits
c. 12 bits
Measurements on sodium have provided the following data: resistivity 4.7 ×10-8ohm m, Hall coefficient -2.5 × 10-10m3C-1, critical wavelength of transparency 210 nm, and density 971 kg m-3. Calculate (i) the density of electrons, (ii) the mobility, ..
A first-order circuit, having a gain of 10 at dc and a gain of 1 at infinite frequency, has its pole at 20 kHz. Find its transfer function.
The tuning control is required to provide a uniform, linear change in frequency for a fixed rotation of the knob, e.g., 25 kHz per revolution at any operating frequency. You are considering three options for controlling the frequency
The instantaneous power p into a one port containing resistors and inductors has maximum value 100(1+sqrt2) W and minimum value 100(1-sqrt2)W. (note that instantaneous power is measured in W, and it contains various contributions
An electron is bound in a one-dimensional infinite potential well with a width of 5Å. (a) Calculate the first three energy levels that the electron may occupy. (b) If the electron drops from the third to the second energy level
If we have a 600ohm transmission line terminated with a 1200ohm resistor, how long must the transmission line be if the input impedance is purely real?
Hand calculate the expression for the voltage and current of the capacitor and plot these equations by using MATLAB and calculate the time constants of each circuit and point out this time constants at your voltage graphs.
What is the maximum symbol rate which can be sent over this link? If a binary line code is used, what is the maximum bit rate? What is the maximum bit rate with 4-ASK symbols?
A system has a characteristic equation: q(s) = s3 + 20s2 + 5s + 100 = 0 Determine whether the system is stable using the Routh-Hurwitz criterion. Determine the roots of the characteristic equation.
Interpreting frequency domain signal spectrum to time domain, A spectrum analyzer is connected to an unknown signal. The spectrum analyzer displays the voltage level of signals in volts vertically and frequency horizontally.
Determine zero-input response of (D2+4D+40)y(t)=(D+2)x(t) with initial condition y0(0)=2 & dy0(0)/dt=16.78.
X1 and X2 are two independent Gaussian random variables each with mean zero and unit variance.
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