Please answer as much as you can. Imagine that you are measuring the output of a
ID: 1846361 • Letter: P
Question
Please answer as much as you can.
Imagine that you are measuring the output of a sensor in the lab, and you find that the signal of interest is corrupted by interfering signals. To determine the nature of the interfering signals you take a look at the frequency spectrum of the measured signal. (The frequency spectrum could be obtained in one of several ways: it could be measured directly with an instrument called a spectrum analyzer, it could be obtained by using the FFT math function on the oscilloscope, or it could be generated by post - processing the time domain data in a tool such as MATLAB.) You know the signal of interest is located near 20kHz, so the other two signal components present in the measured spectrum represent the interfering signals. Frequency Spectrum of Measured Signal Using MATLAB, plot the time domain signal corresponding to the measured frequency spectrum. The absolute amplitudes of the signal components are not important - the relative amplitudes are. You may assume the 20kHz signal of interest has an amplitude of 1V. Relative phase between signal components is also not important - you may assume 0degree phase for all signal components. Generate two plots of the signal (you can use subplots): one showing 500musec of the measured signal, and a zoomed - in version showing 50musec of the signal. Design a first - order RC low pass filter to partially remove the interfering signals from the measured sensor output. To be certain not to attenuate the sensor output signal, set the comer frequency to be one decade above the 20kHz sensor signal. If the sensor signal amplitude is 1V, what are the amplitudes of the interfering signals at the input to the filter? What are their amplitudes at the output of the filter? Using MATLAB generate a time - domain plot of the signal at the output of the filter. Again, generate two plots: one showing 500musec of data, and another showing 50musec of data. Comment on the result (i.e. compare these plots to those from part a. Is the filter effective at doing what we wanted it to do - removing/reducing the interfering signals?). Design a low pass filter to meet the following specifications, when driving a 50Ohm load: Attenuate 800kHz signals by 52dB (relative to the pass band gain) Provide a DC gain of - l2dB What is the required corner frequency of the filter? Calculate the required values of R and C. (Be careful - the load is now part of the filter.) If a 16MHz signal with amplitude of 1V is applied at the input to the filter, what is the amplitude of the signal at the output? Sketch, by hand, the Bode plot (magnitude and phase) for this filter (with the load attached). This should be a neat sketch, drawn on engineering paper using a straightedge. A high pass RC filter is driven by a source with a 50Ohm source impedance. Measurements of the filter output are taken at two different frequencies. In each case, the amplitude of the source voltage (i.e. the open - circuit amplitude of the source driving the filter) is 1V. The circuit and the two sets of measured data are shown below. Filter input and output Signals Measurement - 1 Figure 1. High frequency input/output measurement for the high pass filter. Filter input and output Signals - Measurement 2 What is the corner frequency of the fitter? (Find the corner frequency while being driven by this particular source - i.e. consider the source resistance part of the filter.) Sketch, by hand, the Bode plot for this filter. (Again, consider Rs part of the filter.) Determine the values of R and C. Sketch the input and output signals of the filter being driven by a 1V, 200KHz sinusoidal source. You'll probably want to use separate vertical axis scales for each signal, as in Figure 2.Explanation / Answer
i was not able to upload my solution as it was very high resolution HD pic. , so i have uploaded it to my google drive ; the link is : https://plus.google.com/107353407900274984554/posts/Bq66gKmPrF5
it contains solution to question 2 ; i wud have answered all but the internet connection at my place is going out ;.