9. Use Hamming window to obtain the impulse response of a 11-point FIR filter shown in the figure below. \H(w)

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The following figure shows a system that couples an inverting band pass filter with a high pass filter. Using parameters given in the figure, derive the transfer function of Vo(s)/Vi(s) Vi Inverting band pass filter R₁ ww C₁ C₂ R₂ High pass filter C3 R3 R4 R5 Vo Hint: You could start with writing the transfer function of the two filters separately, then combine the two equations into one. Your transfer function may be written as the product of multiple filters and/or gain stages - you do not need to reduce to simplest form but you should have each piece derived somewhere.

Answer the following wuth illustration and solutions. 1.) A second-order band pass filter is to be constructed using RC components that will only allow a range of frequencies to pass above 500Hz and below 1.5kHz. Assuming that both the resistor have values of 1kohms, calculate the values of the two capacitors required. Find also the center frequency of the two frequencies. This is the example/guide that might help.

From the figure, a Obtain the transfer function Eo(s)/Ei(s). b Sketch the response of eo(t) due to a step change in ei(t) of 2 V. Hint: arbitrarily pick values for L, C, R1, R2 Solve it by loop and give right answer

3. Active Analog Filter Topologies You already know from our class discussions that Circuit 1 is an active analog Low-Pass Filter For each of the remaining three circuits, state whether the circuit will function as a low-pass or high-pass filter. Each of your answers must be accompanied by a brief explanation and justification incorporating the frequency dependent characteristics of the reactive circuit elements. That is you should look at the asymptotic impedance of the L and C if the input signal the frequency is very low or very high. Sketch the expected Bode plot for 20 log(Vo/Vs) as a function of log (f) labeling the corner frequencies. No equations are required! R2 R2 R2 R2 R1 R1 R1 Vs Vs o W- Vs Vs Vo Vo Vo Vo Circuit 1 Citcuit 2 Circuit 3 Circuit 4

As part of a radio receiver, you are asked to design a simple bandpass filter using a series inductor, capacitor and resistor. The filter needs to pass a centre frequency of f0 = 1089 kHz with a bandwidth of 9 kHz. Do this by finding the capacitor and resistor values together with a 240 uH inductor that will give you the correct centre frequency and bandwidth. Also, calculate the quality factor Q for your filter. Sketch the filter circuit and show all your calculations.

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A transducer measures a sinusoidal signal with an amplitude of +-5V and a frequency up to 10Hz. Superimposed on this signal is 60-Hz noise with an amplitude of 0.1V. It is desired to attenuate the 60-Hz signal to less than 10% of its value using Butterworth filter. - Select the filter order n and its cutoff frequency fc. Justify your selections - What is the disadvantage of selecting the filter cutoff frequency, fc to equal the highest frequency output of the measured signal?

3. Find the transfer function (Vout/Vin) of the following Op-Amp circuit. Define the cut-off frequencies. What is the type of the filter? IN C4 C1 R2 C3 R5 www OUT