Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
directly from the dura mater of the brain using cortical electrodes. The filter needs to have approximate -3 dB cut-offs at 0.03 Hz and 1500 Hz. You decide on a circuit like that shown in Figure 2, below.

directly from the dura mater of the brain using cortical electrodes. The filter needs to have approximate -3 dB cut-offs at 0.03 Hz and 1500 Hz. You decide on a circuit like that shown in Figure 2, below.

icon
Related questions
Question
You have been asked to design a band-pass filter to process local field potentials recorded directly from the dura mater of the brain using cortical electrodes. The filter needs to have approximate -3 dB cut-offs at 0.03 Hz and 1500 Hz. You decide on a circuit like that shown in Figure 2, below. C2 R2 R1 C1 Vo Figure 2 Derive = -xprersuLivi üre vansı-: *nati, in ot tu ilter. i. i. Assuming that R1 = 1 kQ and R2 = 100 kQ, calculate the values of C1 and C2 to give the required -3 dB points. (Hint: you should realise that one of the R and C pairs causes a low-pass effect and the other causes a high-pass effect, so the lower and upper -3 dB points can be approximately calculated independently by factoring the transfer function). i. Calculate the approximate gain and phase shift of the filter at the upper -3 dB frequency; i.e., at 1500 Hz. By how much time will the output signal, Vo, be delayed relative to the input signal, Vi, if the input signal is a 1500 Hz sinusoid?
Transcribed Image Text:You have been asked to design a band-pass filter to process local field potentials recorded directly from the dura mater of the brain using cortical electrodes. The filter needs to have approximate -3 dB cut-offs at 0.03 Hz and 1500 Hz. You decide on a circuit like that shown in Figure 2, below. C2 R2 R1 C1 Vo Figure 2 Derive = -xprersuLivi üre vansı-: *nati, in ot tu ilter. i. i. Assuming that R1 = 1 kQ and R2 = 100 kQ, calculate the values of C1 and C2 to give the required -3 dB points. (Hint: you should realise that one of the R and C pairs causes a low-pass effect and the other causes a high-pass effect, so the lower and upper -3 dB points can be approximately calculated independently by factoring the transfer function). i. Calculate the approximate gain and phase shift of the filter at the upper -3 dB frequency; i.e., at 1500 Hz. By how much time will the output signal, Vo, be delayed relative to the input signal, Vi, if the input signal is a 1500 Hz sinusoid?
Expert Solution
steps

Step by step

Solved in 4 steps with 8 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer