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A three-point symmetric moving average filter, referred to as a weighted moving average is of the form
\(y[n]=b(ax[nu22121]+x[n]+ax[n+1])\)
(a) Determine as a function of a and b the frequency response
\(H(e^{j\omega})\)
of this system.
(b) Determine the scaling factor b such that
has a gain of 1 when
\(\omega=0\)
(c) A common choice for a in analyzing time series is to set a=1/2. Determine and sketch the frequency response for the resulting filter.
Experiment by changing the amplitudes of the modulating tones, and by adding a third tone to the modulating signal. First establish what you expect , then confirm by computer simulation.
Let the probability of a bit error be p, and the length of a data frame be N. Find the probability of 1, 2, 3, and 4 bit errors occurring in the frame. a) Tabulate the results for N = 1000, 10000, and 100000 bits, for p = 10-6, 10-8, and 10-14
Air is to be compressed from atmospheric pressure at 60oF to 100 psia in a centrfugal compressor (isentropic efficiency about 0.7). The flow rate will be 500 lbm/min. Specify the horsepower required for the driving motor
Then find the total energy stored in the battery before it is connected to the bulb. Determine the total amount of charge that has pessed through the wires that connect the battery and the bulb.
a)Write the diffrenece equation for a four-term moving average filter. b) The input x[n] = cos(n pi/6)u[n] is passed through the four-term moving average filter. Solve for the first 5 samples of the output.
"Divide by 3 clock with 50% duty cycle" is the most commonly asked ASIC design question. This solution gives a simple design in which only 1 counter is required which works only on positive edge of the clock.
Find the Laplace transform of the following: (i) f(t)= 45e^(-5(t-6)) (j) f(t)=2 sin(t-6) (k) f(t)="4.8" e^(-5t) cos?(400t -36o) (l) f(t)=8 d2x/dt2 + 5 dx/dt where (dx(0))/dt = 8 and x(0) = -4
1. Find the volume of a frustum of a pyramid with square base of side 17, square top of side 9 and height 14.2. The base of a solid is a circular disk with radius3. Parallel cross sections perpendicular to the base are squares.
Suppose that two optical guides embedded in a substrate such as LiNbO3 are coupled as in the below figure and the transmission length Lo=10mm. If the coupling separation d is =10µm, n = 2.2, the operating wavelength is 1.3µm
An electric heating element is connected to a 110 v circuit and a current of 3.2 A is flowing through the element. How much energy is used up during a period
Consider a virtual memory system that can address a total of 232 bytes. You have unlimited hard drive space, but are limited to only 8 MB of semiconductor (physical) memory. Assume that virtual and physical pages are each 4 KB in size.
A load is delivering 1400 VARs of reactive power at a power factor of 0.96 leading. Determine the complex power S and the average power P for the load.
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