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Entry  Mon Jun 20 16:33:09 2016, Varun, Update, Electronics, Anti-Aliasing Filter circuit schematic 8x
    Reply  Wed Jun 22 14:03:42 2016, Varun, Update, Electronics, Anti-Aliasing Filter circuit schematic io.pdfAA.JPGratios_v2.pdf
Message ID: 12203     Entry time: Mon Jun 20 16:33:09 2016     Reply to this: 12212
Author: Varun 
Type: Update 
Category: Electronics 
Subject: Anti-Aliasing Filter circuit schematic 

Summary: The aim is to design an analog anti-aliasing (AA) filter placed before the ADC, whose function is to filter out components of the input spectrum that have frequencies higher than the Nyquist frequency. This needs to be done so that there is no contamination of aliased downconverted high-frequency signals into the ADC output. I have put down and simulated a circuit to do this, based on the spectra of a few interferometer signals that eric Provided. Attachment 1 shows such an input PSD, treated with whitening filter, before the AA. The sampling rate is 65536 Hz and hence the Nyquist freq. is 32768 Hz.

Motivation: Attachments 2 and 3 show the plot of required attenuation for various frequencies above the Nyquist. We can see a peak at 36 kHz, which will alias to about 29kHz. It will require about 70 dB attenuation here. This indicates that use of a notch filter combined with a low pass filter can be used.

Details of Schematic: Attachment 4 shows the schematic of a Boctor low pass notch filter, cascaded by a 2nd order LPF. The stopband frequency of the boctor filter can be tuned to around 36 kHz. Its main advantage for the boctor is better insensitivity to component value tolerances, use of a single op amp, and relatively independent tuning of parameters.  The various component values are calculated from here. The transfer functions for the circuit shown in attachment 4 were simulated using TINA - a spice based simulation software. The transfer function is shown in attachment 5.

A few more calculations: Attachment 6 shows the output psd after the signal has been treated with AA. Attachments 7 and 8 show the ratio of aliased downconverted signal and the unaliased signal of the output. Here, we can see that above about 13 kHz, the ratios go above -40dB, which is apparently undesirable. However, we also see from the transfer function of the filter that the gain falls to less than -20dB after about this frequency, and the aliased signals are atleast 20 dB lower than this, atleast upto about 29 kHz in attachment 7 and about 25 kHz in attachment 8. This means that the aliased signals are negligible as compared to the low frequencies even if they are not negligible as compared to the higher frequencies (above 13 kHz) into which they would get downconverted due to sampling. But these higher frequencies (above 13 kHz) themselves are small.

The filter overall, is 4th order. Considering this and the above discussion, I need to decide what changes to make in the existing schematic. For now, I could discuss with eric to finalize the opamp and start building the pcb board design.

Attachment 1: in.pdf  13 kB  | Hide | Hide all
Attachment 2: 32to65att.pdf  7 kB  | Hide | Hide all
Attachment 3: 65to98att.pdf  7 kB  | Hide | Hide all
Attachment 4: lpf_notch.JPG  30 kB  | Hide | Hide all
Attachment 5: lpf_notch.pdf  9 kB  | Hide | Hide all
Attachment 6: out.pdf  13 kB  | Hide | Hide all
Attachment 7: out_ratio1.pdf  8 kB  | Hide | Hide all
Attachment 8: out_ratio2.pdf  8 kB  | Hide | Hide all
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