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Sampling and Aliasing.
1) You sample a known signal of equation x(t)=3 cos(2 π 4425 t) with a sampling rate of 3000 Hz. What signal will you get after reconstructing to continuous time (assume perfect interpolation of a discrete time signal).
2) A continuous time signal produces the absolute magnitude Fourier transform as shown below. If this were sampled at 400 Hz and reconstructed to continuous time plot the absolute magnitude Fourier transform of this signal
3) A freshly graduated engineer is working on his first project and remembers to put an analog low pass filter in his circuit before sampling at a rate of 1500 Hz. He decides to use a first order Butterworth filter with corner frequency of 750 Hz to do this. The signal he is sampling is known to have a significant unwanted signal at around 800 Hz. Will his boss be happy or not? Please explain why.
4) Two medical grade signals are being sampled by different machines. One is sampling blood oxygen saturation at a rate of 25 Hz with proper alias filters. The second is sampling the heart rate ECG signal at 100 Hz. The fft of the ECG signal is shown below. The highest frequency in the ECG signal that is important is the 30 Hz spike shown. Your boss asks you to synchronize the data in time so that they are both at the same sample rate. It is up to you whether you interpolate or decimate. Describe a method that will get both signals sampled at the same rate with no issues due to aliasing.
determine the value that is to be assigned to k, in order that the damped natural frequency of the transient response will be 6.37 Hz and also calculate the damping constant
A radio wave that may be considered a uniform plane wave propagates through the ionosphere and interacts with some charged particles which are moving with a velocity a tenth the velocity of light in the direction normal to the magnetic field of t..
What is the different of having op-amps with different amount of poles, as an example some one come to you and offer you this new opamp, but this person tell you that this op-amp jus have two poles in its open loop response
Analyze Case Study - NIBCO's 'Big Bang': An SAP Implementation- Explain the pros and cons of the approach to implementation decided upon by NIBCO.
Design a circuit that provides a relationship between output voltage Vo and input voltage Vs such that Vo=12*Vs -10. Two opamps, a 6-V battery, and several resistors are available.
The steering wheel of a car has a radius of 0.11 m, while the steering wheel of a truck has a radius of 0.28 m. The same force is applied in the same direction to each. What is the ratio of the torque produced by this force
Use a 74LS283N Adder chip and a 74LS86N XOR chip. Simulate the circuit in Multisim and test enough input combinations that you are sure the circuit is working properly. Make sure you test in all theranges of numbers that are possible.
You know a byte is 8 bits. We call a 4-bit quantity a nibble. If a byte-addressable memory has a 14-bit address, how many nibbles of storage are in this memory
Second order unity gain Tschebyscheff low pass filter. The task is to design a second order unity gain. Tschebyscheff low pass filter with a corner frequency of fc = 12.5kHz and a 3dB passband ripple. Determine C1, C2, R1, and R2.
Independent of circuit details, for a digital input code of (b1, b2, b3, .... bn), the output of an n-bit digital to analog conversion output is of the form output = K (b1 + (b2/2)+ (b3/4)...+(bn/ 2^n-1)) For a particular 5 bit DAC the output volta..
Create a sequence detector that recognizes the following sequence on input X with overlap: "1011101", and sets the output Y to 1 when the sequence has been detected. a) Provide the state diagram and truth table showing the previous state
b. Draw the logic diagram, using the original Boolean expression. d. Obtain the truth table of the function form the simplified expression and show that it is the same as the part one. e. Draw the logic diagram from simplified expression, and compare..
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