Thanks for watching. For more Analog and Digital Signal Processing & Circuit examples please see: Butterworth Analog Filter Design with Op Amp th-cam.com/video/SIMg5TOIgrA/w-d-xo.html Digital Filter Cascade Implementation Example th-cam.com/video/S5ev43KQJmY/w-d-xo.html Universal Analog Filter Design th-cam.com/video/2J-0msXZE2o/w-d-xo.html Digital Filter Design using MATLAB filter Designer Tool th-cam.com/video/dSZmymGa3Wo/w-d-xo.html Sallen-Key Filter Design Tutorial: LPF, HPF Frequency Response, Damping Factor th-cam.com/video/KwUnQXbk7gM/w-d-xo.html How to find Bode Plot, Freq Response, Transfer Function of Analog Filters th-cam.com/video/vZFkPeDa1H8/w-d-xo.html Lowpass Butterworth Filter: th-cam.com/video/UzCjkwqy-9w/w-d-xo.html Digital Filter: Direct Form vs Transpose Form th-cam.com/video/ekvY-ctW6Js/w-d-xo.html Laplace Transform Example and S-domain circuit analysis: th-cam.com/video/ps8N5TPM_qU/w-d-xo.html Op Amp circuit Bode Frequency plot th-cam.com/video/BLVzuuqAlZs/w-d-xo.html Analog Logarithm Computer th-cam.com/video/RpKEq5WyoLg/w-d-xo.html Op Amp Amplifier with Electronic Gain Control th-cam.com/video/NoNgQpbj77Y/w-d-xo.html Analog Computer solves Differential Equation th-cam.com/video/ENq39EesfPw/w-d-xo.html Voltage Regulator Design with Op Amp and BJT Transistor th-cam.com/video/rI9f6-DyXxQ/w-d-xo.html Analog Computer to Raise Signal to power n th-cam.com/video/IUTlBH1UraE/w-d-xo.html Triangle Oscillator Op Amp circuit th-cam.com/video/JF5Up_cuL9k/w-d-xo.html Differential Equation Solver Analog Circuit th-cam.com/video/R3X5AYNZGEI/w-d-xo.html Complex Sinusoid Oscillator th-cam.com/video/GXRhmwmS5Zk/w-d-xo.html Sawtooth Oscillator Design th-cam.com/video/2eUsGPfqbW4/w-d-xo.html Full-Wave Rectifier circuit example th-cam.com/video/DJJMNU-CYcg/w-d-xo.html Sawtooth Waveform Generator design with OpAmp, JFET, BJT th-cam.com/video/5zHXTx-Vl20/w-d-xo.html For more Digital Signal Processing and DSP examples please see th-cam.com/play/PLrwXF7N522y6cSKr0FmEPP_zQl011VvLr.html For more analog circuits and signal processing examples see: th-cam.com/play/PLrwXF7N522y4c7c-8KBjrwd7IyaZfWxyt.html I hope these Analog and Digital Circuit design and analysis videos are useful and interesting.🙏
Hello. Nice video. Thanks. I notice a small difference in your Sallen-Key topology and others. After some research, I see that the Sallen-Key relies on a buffered copy of signal, in this case, at the "+" terminal of the opamp. Yours is functionally equivalent to those others with unity gain, I believe. If more gain is desired, the alternate topology is used. I think the analysis is similar in both cases.
You are welcome! And thanks for sharing your observations and insights. Here is another example that you might find interesting, Sallen-Key Filter Design Tutorial: LPF, HPF Frequency Response, Damping Factor th-cam.com/video/KwUnQXbk7gM/w-d-xo.html
While F=0.5 Hz is a considerably low cut-off frequency for the highpass filter, using equations explained at 18:40 , with Damping Factor set to 1/sqrt(2) we get R1=2*R2 and 2*pi*F=1/(C*sqrt(R1*R2)) . Hence we get R2 = 1/(2*pi*1.41*F*C) , if we set F=0.5 Hz and say C=1.2uF then we get R2=200 kOhm , R1=400 kOhm. Now, similarly, for lowpass filtering portion of this Sallen Key Filter, using equations explained at 26:35 , with R=100kOhm we can derive C1=11nF, C2=22nF. I hope this is helpful.
Thanks for watching and your interest in this Bandpass Sallen-Key Filter Design video. With damping factor (zeta) set to 1/sqrt(2) substitute s=jw in H(s) and simplify the resulting algebraic expressions to arrive at the equation at 17:00. Please watch this additional example Butterworth Analog Filter Design with Op Amp th-cam.com/video/SIMg5TOIgrA/w-d-xo.html . I hope this is helpful.
Watch minutes 16:45 and 24:00 for the two frequency Response (transfer function) corresponding to the cascaded first stage and second stage. One can find the gain at any target frequency using the equations discussed. To further help, here are two related filter videos: Sallen-Key Filter Design Tutorial: LPF, HPF Frequency Response, Damping Factor th-cam.com/video/KwUnQXbk7gM/w-d-xo.html Butterworth Analog Filter Design with Op Amp th-cam.com/video/SIMg5TOIgrA/w-d-xo.html
Thanks for watching & your interest. Deriving Transfer function of filter & Frequency Response require Circuit S-domain analysis, computing Cutoff Frequency & Damping Factor to select components properly. For more examples please see th-cam.com/play/PLrwXF7N522y4c7c-8KBjrwd7IyaZfWxyt.html I hope these Analog and Digital Circuit design and analysis videos are useful and interesting.
@@STEMprof thanks, yes the video was interesting, but I feel the maths could be simplified to cater to a wider audience. By using frequency in hertz, for example, would make the design more "calculable" for a non- engineer person, such as myself.
@@2001pulsar You are welcome. Thanks for watching, sharing your thoughts and your interest. To further help, please watch the video th-cam.com/video/SIMg5TOIgrA/w-d-xo.html which is Butterworth Analog Filter Design with Op Amp. I hope this is helpful.
Thanks for watching. For more Analog and Digital Signal Processing & Circuit examples please see:
Butterworth Analog Filter Design with Op Amp th-cam.com/video/SIMg5TOIgrA/w-d-xo.html
Digital Filter Cascade Implementation Example th-cam.com/video/S5ev43KQJmY/w-d-xo.html
Universal Analog Filter Design th-cam.com/video/2J-0msXZE2o/w-d-xo.html
Digital Filter Design using MATLAB filter Designer Tool th-cam.com/video/dSZmymGa3Wo/w-d-xo.html
Sallen-Key Filter Design Tutorial: LPF, HPF Frequency Response, Damping Factor th-cam.com/video/KwUnQXbk7gM/w-d-xo.html
How to find Bode Plot, Freq Response, Transfer Function of Analog Filters th-cam.com/video/vZFkPeDa1H8/w-d-xo.html
Lowpass Butterworth Filter: th-cam.com/video/UzCjkwqy-9w/w-d-xo.html
Digital Filter: Direct Form vs Transpose Form th-cam.com/video/ekvY-ctW6Js/w-d-xo.html
Laplace Transform Example and S-domain circuit analysis: th-cam.com/video/ps8N5TPM_qU/w-d-xo.html
Op Amp circuit Bode Frequency plot th-cam.com/video/BLVzuuqAlZs/w-d-xo.html
Analog Logarithm Computer th-cam.com/video/RpKEq5WyoLg/w-d-xo.html
Op Amp Amplifier with Electronic Gain Control th-cam.com/video/NoNgQpbj77Y/w-d-xo.html
Analog Computer solves Differential Equation th-cam.com/video/ENq39EesfPw/w-d-xo.html
Voltage Regulator Design with Op Amp and BJT Transistor th-cam.com/video/rI9f6-DyXxQ/w-d-xo.html
Analog Computer to Raise Signal to power n th-cam.com/video/IUTlBH1UraE/w-d-xo.html
Triangle Oscillator Op Amp circuit th-cam.com/video/JF5Up_cuL9k/w-d-xo.html
Differential Equation Solver Analog Circuit th-cam.com/video/R3X5AYNZGEI/w-d-xo.html
Complex Sinusoid Oscillator th-cam.com/video/GXRhmwmS5Zk/w-d-xo.html
Sawtooth Oscillator Design th-cam.com/video/2eUsGPfqbW4/w-d-xo.html
Full-Wave Rectifier circuit example th-cam.com/video/DJJMNU-CYcg/w-d-xo.html
Sawtooth Waveform Generator design with OpAmp, JFET, BJT th-cam.com/video/5zHXTx-Vl20/w-d-xo.html
For more Digital Signal Processing and DSP examples please see th-cam.com/play/PLrwXF7N522y6cSKr0FmEPP_zQl011VvLr.html
For more analog circuits and signal processing examples see: th-cam.com/play/PLrwXF7N522y4c7c-8KBjrwd7IyaZfWxyt.html
I hope these Analog and Digital Circuit design and analysis videos are useful and interesting.🙏
You are welcome. Thank you for the comment.
Hello. Nice video. Thanks. I notice a small difference in your Sallen-Key topology and others. After some research, I see that the Sallen-Key relies on a buffered copy of signal, in this case, at the "+" terminal of the opamp. Yours is functionally equivalent to those others with unity gain, I believe. If more gain is desired, the alternate topology is used. I think the analysis is similar in both cases.
You are welcome! And thanks for sharing your observations and insights. Here is another example that you might find interesting, Sallen-Key Filter Design Tutorial: LPF, HPF Frequency Response, Damping Factor th-cam.com/video/KwUnQXbk7gM/w-d-xo.html
What if my high pass has a a cut off frequency of 0.5Hz and lpf a cut off of 100 Hz, what would the values be?
While F=0.5 Hz is a considerably low cut-off frequency for the highpass filter, using equations explained at 18:40 , with Damping Factor set to 1/sqrt(2) we get R1=2*R2 and 2*pi*F=1/(C*sqrt(R1*R2)) . Hence we get R2 = 1/(2*pi*1.41*F*C) , if we set F=0.5 Hz and say C=1.2uF then we get R2=200 kOhm , R1=400 kOhm.
Now, similarly, for lowpass filtering portion of this Sallen Key Filter, using equations explained at 26:35 , with R=100kOhm we can derive C1=11nF, C2=22nF. I hope this is helpful.
I dont understand how you got equation w^4/(w^4+wn^4), at minute 17:00.
Thanks for watching and your interest in this Bandpass Sallen-Key Filter Design video. With damping factor (zeta) set to 1/sqrt(2) substitute s=jw in H(s) and simplify the resulting algebraic expressions to arrive at the equation at 17:00. Please watch this additional example Butterworth Analog Filter Design with Op Amp th-cam.com/video/SIMg5TOIgrA/w-d-xo.html . I hope this is helpful.
whats our gain equation in this video?
Watch minutes 16:45 and 24:00 for the two frequency Response (transfer function) corresponding to the cascaded first stage and second stage. One can find the gain at any target frequency using the equations discussed.
To further help, here are two related filter videos:
Sallen-Key Filter Design Tutorial: LPF, HPF Frequency Response, Damping Factor th-cam.com/video/KwUnQXbk7gM/w-d-xo.html
Butterworth Analog Filter Design with Op Amp th-cam.com/video/SIMg5TOIgrA/w-d-xo.html
Not helpful unless you did some special engineering math at university.
w, z, x, m... hmmm
Thanks for watching & your interest. Deriving Transfer function of filter & Frequency Response require Circuit S-domain analysis, computing Cutoff Frequency & Damping Factor to select components properly. For more examples please see th-cam.com/play/PLrwXF7N522y4c7c-8KBjrwd7IyaZfWxyt.html
I hope these Analog and Digital Circuit design and analysis videos are useful and interesting.
@@STEMprof thanks, yes the video was interesting, but I feel the maths could be simplified to cater to a wider audience.
By using frequency in hertz, for example, would make the design more "calculable" for a non- engineer person, such as myself.
@@2001pulsar You are welcome. Thanks for watching, sharing your thoughts and your interest. To further help, please watch the video th-cam.com/video/SIMg5TOIgrA/w-d-xo.html which is Butterworth Analog Filter Design with Op Amp. I hope this is helpful.