1) Given the following set of inputs, x[n], to a three-term moving average filter,

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1) Given the following set of inputs, x[n], to a three-term moving average filter,

calculate y[n] for the last output where all the inputs to the moving average are defined.

x[0] = 3, x[1] = 5, x[2] = 8, x[3] = 7, x[4] = 4, x[5] = 2, x[6] = 1

2) What is the value of the coefficient +0.1837 if it is quantized to 10 bits?

3) What is the main reason that bilinear transformation is used in IIR filter design?

 
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1)Given a Butterworth low pass filter design with a stop band edge frequency of 1600 Hz

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1)Given a Butterworth low pass filter design with a stop band edge frequency of

1600 Hz and a sampling frequency of 4000 Hz, find the radian value of the prewarped frequency ωp1.

2) Given an analog signal with a maximum positive voltage of 5 volts and an 8-bit analog to digital converter, what will be the quantized value of an input voltage of 2.70 volts?

 
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list three advantages of digital signal representation as compared to their analog representation.

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list three advantages of digital signal representation as compared to their analog representation.

 
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For a RC circuit, we can use Laplace transforms to show that when we apply a step input of 5V,

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For a RC circuit, we can use Laplace transforms to show that when we apply a step input of 5V, the voltage across

the capacitor rises exponentially to a final value equal to step input. Now, suppose that an initial voltage of 1V is present at the capacitor at zero time (t = 0). Will the behavior of the circuit when a step input is applied still yield an exponential rise or will the behavior be of some other type? Prove by solving the equations using Laplace transform

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