Question

**Explain the frequency response of the band pass
filter**

Answer #1

a **Band Pass Filters** passes signals within a
certain “band” or “spread” of frequencies without distorting the
input signal or introducing extra noise. This band of frequencies
can be any width and is commonly known as the filters
**Bandwidth**.

The “ideal” **Band Pass Filter** can also be used
to isolate or filter out certain frequencies that lie within a
particular band of frequencies, for example, noise cancellation.
Band pass filters are known generally as second-order filters,
(two-pole) because they have “two” reactive component, the
capacitors, within their circuit design. One capacitor in the low
pass circuit and another capacitor in the high pass circuit.

The upper and lower cut-off frequency points for a band pass filter can be found using the same formula as that for both the low and high pass filters, For example.

Then clearly, the width of the pass band of the filter can be controlled by the positioning of the two cut-off frequency points of the two filters.

Is it possible to acquire a passive band-pass filter by
cascading a passive high pass filter with a passive low pass
filter. Please explain.

Design a band-pass or band-rejection filter satisfying the
following requirements:
1-Central Frequency 10 kHz
2-Bandwidth 1 kHz
3-Gain of 20 dB or higher
and then do the hand calculations and Gain versus frequency
plots with 3 dB markdown.

Second order circuit as a band pass filter.
1. Consider a series RLC circuit of your choice with AC source.
Find the resonance conditions (resonant frequency, quality factor
cut-off frequencies and bandwidth.
Simulate(multisim) the resonance condition by experimenting with
AC signal of several different frequencies and comparing the output
amplitudes. You need to show graphs of simulation with several
different frequencies. Demonstrate that the simulation results
confirm the calculated resonance effect.
Make a band pass filter from circuit in (1)....

Design a FIR filter using the Kaizer window method for the
sepcifications:
Edge of pass band = 0.2π
Edge of stop band = 0.3π
Pass band ripple = 0.25 dB
Minimum stopband attenuation = 50 dB

Design a passive RC high pass filter with a cutoff frequency of
470 Hz using a 270 pF capacitor.
What is the value of the resistor? Express your answer with the
appropriate units.
What is the transfer function of the filter? Express your answer
in terms of the variables R, C, and s.
If the filter is loaded with a resistor whose value is the same
as the resistor in part B, what is the transfer function of this
loaded...

PLEASE ANSWER QUESTION #2
Design an FIR band-pass filter with cutoff frequencies of π/ 4
and π/ 6 . The filter’s impulse response should have 81 samples
(i.e. N = 81). Use a Blackman filter window.
(a) Plot the filter’s impulse response
(b) Plot the magnitude of the filter’s frequency response, in
dB. (i.e. 20 log(|H(e jω)|))
(c) Print out the MATLAB code used in the filter design
2. Use the filter designed in #1 to filter a random input...

Design an active-RC low pass second order Butterworth filter for
a cutoff frequency of 1 kHz, and a pass band gain of 2 V/V. Use a
741 Op Amp. If using Table I, use a capacitor value of 0.1 μF for C
and C1, otherwise you may use any capacitors available in the lab.
If applicable, make an excel worksheet showing the calculations
required for the above design. Choose appropriate real
resistor values for the designed circuit and simulate this circuit...

Calculate the FIR LPF with a cutoff frequency of 1 kHz using
MATLAB (sampling frequency 20 kHz, filter order 10) and output the
frequency response curve
Calculate the FIR band pass filter passing only 1kHz-9kHz using
MATLAB (sampling frequency 20kHz, filter degree 20) and output the
frequency response curve.

7)
(a) Draw a circuit of a high pass RL filter
b) Derive the expression for V_o/V_i of a high pass RL
filter
(c) Use the equation you derived in (b) to determine the gain
when
(i) the frequency is very low
(ii) R = X_L
(iii) the frequency is very high
(d) Use the equation you derived in (b) to determine the phase
angle when
(i) the frequency is very low
(ii) R = X_L
(iii) the frequency is...

Design a passive, first-order band-pass filter with a bandwidth of
4 decades centered at 1 krad/s.

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