Wiki

Analog Devices Wiki

English
English
简体中文
简体中文
日本語
日本語
Руccкий
Руccкий
no way to compare when less than two revisions

Differences

This shows you the differences between two versions of the page.


Previous revision
Next revision
—university:labs:band_pass_filters_adalm200 [18 May 2020 17:10] – ↷ Page moved from band_pass_filters_adalm200 to university:labs:band_pass_filters_adalm200 Cristina Suteu
Line 1: Line 1:
 +======Activity: Band Pass Filters======
 +
 +=====Objective:=====
 +
 +The objective of this Lab activity is to:
 +1. Construct a Band Pass Filter by cascading a low pass filter and a high pass filter and obtain the frequency response of the filter.
 +
 +
 +=====Background: =====
 +
 +A Band Pass Filter allows a specific range of frequencies to pass, while blocking or attenuating lower and higher frequencies. It passes frequencies between the two cut-off frequencies while attenuating frequencies outside the cut-off frequencies. 
 +
 +One typical application of a band pass filter is in Audio Signal Processing, where a specific range of frequencies of sound are desired while attenuating the rest. Another application is in the selection of a specific signal from a range of signals in communication systems. 
 +
 +A band pass filter may be constructed by cascading a High Pass RL filter with a roll-off frequency f<sub>L</sub> and a Low Pass RC filter with a roll-off frequency f<sub>H</sub>, such that :
 +
 +<m>f_L<f_H</m>
 +
 +The Lower cut-off frequency is given as: 
 +
 +<m>f_L=R/(2pi L)</m> (1) 
 +
 +The higher cut-off frequency is given as: 
 +
 +<m>f_H=1/(2pi RC)</m> (2) 
 +
 +The Band Width of frequencies passed is given by: 
 +
 +<m>BW= f_H-f_L</m>
 +
 +All the frequencies below f<sub>L</sub>and above f<sub>H</sub> are attenuated and the frequencies between are passed by the filter. 
 +
 +{{ :university:labs:alm-cir-lab9-fig1.png?500 |}}
 +
 +<WRAP centeralign>Figure 1: Band Pass Filter circuit</WRAP>
 +
 +We can also use the formula for the LC resonance to calculate the center frequency of the band pass filter, the resonant frequency ω<sub>o</sub> is given by: 
 +
 +<m>ω_o = 1/sqrt{LC }</m> rad/s (3)
 +
 +OR 
 +
 +<m>f_o = 1/(2pi sqrt{LC})</m> Hertz (4)
 +
 +**Frequency Response:**
 +
 +To show how a circuit responds to a range of frequencies a plot of the magnitude ( amplitude ) of the output voltage of the filter as a function of the frequency can be drawn. It is generally used to characterize the range of frequencies in which the filter is designed to operate within. Figure 2 shows a typical frequency response of a Band Pass filter.
 +
 +{{ :university:labs:alm-cir-lab9-fig2.png?600 |}}
 +
 +<WRAP centeralign>Figure 2: Band Pass Filter Frequency Response</WRAP>
 +
 +
 +
 +=====Materials:=====
 +ADALM2000 Active Learning Module\\
 +Solder-less breadboard, and jumper wire kit\\
 +1 1.0 KΩ resistor \\
 +1 0.047 µF capacitor\\
 +1 10 mH inductor\\
 +
 +=====Hardware setup=====
 +Build the circuit presented in Figure 3 on the solderless breadboard.
 +
 +{{ :university:labs:bpf_circuit.png?400 |}} 
 +<WRAP centeralign>Figure 3: Band Pass Filter circuit</WRAP>
 +
 +{{ :university:labs:bpf_bb.png?900 |}}
 +<WRAP centeralign>Figure 4: Breadboard connections of the Band Pass Filter circuit</WRAP>
 +
 +=====Procedure=====
 +The band pass filter frequency response can be plotted using the Network Analyzer tool. Compute the center frequency of the filter using equation (4). According to this you will set the start and stop frequencies of the logarithmic sweep. For this filter the center frequency is 7.3 KHz. In the network analyzer set the start frequency at 1 KHz and the stop frequency at 20 KHz. Set the minimum phase at -90 the maximum phase at 90. Magnitude axis can be set from -30 dB to 10dB. In Figure 5 is presented the transfer function of the filter obtained by running the network analyzer.
 +
 +{{ :university:labs:bpf_freq_plot.png?900 |}}
 +<WRAP centeralign>Figure 5: Frequency response of Band pass filter circuit</WRAP>
 +
 +
 +In the Signal Generator tool, on Channel 1, generate a waveform with the frequency value in the pass band of the filter and analyze it's response. Observe on the oscilloscope channel 1 the input signal and the output signal on channel 2. In Figure 6 you can see the filter input and output for a 7kHz sine waveform.
 +
 +{{ :university:labs:bpf_7.3k_signal.png?900 |}}
 +<WRAP centeralign>Figure 6: Input and output signals of Band pass filter circuit for 7kHz input frequency</WRAP>
 +\\
 +=====Questions=====
 + Compute the cut-off frequencies for each Band Pass filter constructed using the formula in equations (1) and (2). Compare these theoretical values to the ones obtained from the experiment and provide suitable explanation for any differences.\\
 +
 +
 +<WRAP round download>
 +**Lab Resources:**
 +  * Fritzing files: [[https://minhaskamal.github.io/DownGit/#/home?url=https://github.com/analogdevicesinc/education_tools/tree/master/m2k/fritzing/bpf_bb|bpf_bb]]
 +  * LTSpice files: [[https://minhaskamal.github.io/DownGit/#/home?url=https://github.com/analogdevicesinc/education_tools/tree/master/m2k/ltspice/bpf_ltspice|bpf_ltspice]]
 +</WRAP>
 +
 +
 +
 +**Return to Lab Activity [[university:courses:electronics:labs|Table of Contents]]**
  
university/labs/band_pass_filters_adalm200.txt · Last modified: 07 Apr 2021 03:34 by Jonathan Claypool

Page Tools