Butterworth filter
a)Design a 5th order low pass Butterworth low-pass filter with a
cut-off frequency of 1592 Hz and a dc gain of 3dB. Find and present
the mathematical transfer function of the filter, showing all your
steps.
b) Write a Matlab code to plot the magnitude of this function
with a linear scale in dB units on the ordinate, and a log scale of
frequency on the abscissa.
The plot range should be: ordinate- linear scale from -100dB to...
Low-Pass RC
Filter.
Design a low-pass RC filter that will attenuate the amplitude
of a 400 Hz sinusoidal wave by a factor of two. Draw a schematic
diagram for your filter, labeling Vin,
Vout, and your specific choices for
your R and C values.
At 400 Hz, does the output signal from your filter lead or lag
the input signal? By what phase does it lead or lag?
On the same set of axis, sketch Vin and
Vout as a...
Design and build an active second order low pass filter with cut
off frequency of 8kHz using opamp
-Show circuit diagram
-Show input voltage and frequency
- Show all calculations and placement of indicator to measure
output frequency to measure cut off
Design and build an active second order low pass filter with cut
off frequency of 8kHz
-Show circuit diagram
-Show input voltage and frequency
- Show all calculations and placement of indicator to measure
output frequency to measure cut off
Using a general Op-Amp 741, design a first order and a
second-order low-pass filter with cut off frequent of 5kHz. Subject
sinusoidal inputs with frequency from 1kHz to 10kHz and plot the
frequency responses for both the filters and provide your
opinion.
Q1: Design a 9th order low-pass filter with cut-off ?? /2 using
the Hanning window. a) Plot its frequency response. b) Express the
Input/ Output relation. c) let ??[??]{ 0 ??or
??=0,1,2…..,10
{1 ??or ??=11,12,…..30 Calculate ??=????. Plot and comment on
the shape of y.
Q2: Design a 9th order high-pass filter with cut-off ??/ 4 using
the Hanning window. a) Plot the frequency response. b) Express the
Input/ Output relation. c) let ??[??]={ 0 ??or
??=0,1,2…..,10
{1...
Design a 9th order low-pass filter with cut-off ??/ 2
using the Hanning window.
a) Plot its frequency response. b) Express the Input/ Output
relation. c) let ??[??] = {
0
?????? ?? = 0,1,2…..,10 1 , ?????? ?? =
11,12,…..30
Calculate ?? = ?? ? ?. Plot
and comment on the shape of y.
1) A student wants to design a low-pass Butterworth filter for a
data acquisition system that will not attenuate 2 Hz signal more
than 4 dB but will have more than 80 dB of attenuation at 50 Hz
signal.
(a) Determine the minimum number of filter stages required and
the cutoff frequency (in Hz) that can be used (For the cutoff
frequency, choose an integer number in the range)
(b) Assuming the source and load resistances are 50 Ω, draw...
Design an active low-pass filter with a gain of 10 and that can
reject 120 Hz signals. What are the parameters for this design?
Please show all work. Thank you.