(a) (b) Design a 2nd order high-pass Sallen-key filter with Butterworth response for 10 kHz. You can use your own value of resistors and capacitors in the design. Show all related calculations and the final circuit design. Please refer to the table 1 in Appendix 1 for Butterworth response. [Rekabentukkan satu penuras laluan tinggi Sallen Key peringkat ke 2 dengan respon Butterworth untuk 10 kHz. Anda boleh menggunakan nilai sendiri untuk perintang-perintang dan kapasitor-kapasitor dalam rekabentuk ini. Tunjukkan pengiraan berkaitan dan rekabentuk akhir litar. Sila rujuk Jadual 1 dalam Apendik 1 untuk sambutan Butterworth.] The electroencephalogram (EEG) is used to diagnose brain injuries and brain tumors noninvasively, as well as in neuropsychology research. EEGs are generally recorded from the scalp, which means the underlying, cortical brain electrical activity must pass through the pia and dura mater membranes, cerebrospinal fluid, skull, and scalp. EEG signal bandwidth is between 0.2 Hz to 100 Hz. The signal is very weak and is easily affected by noise. As a biomedical engineer, you have been given a task to design a 4th order filter with Butterworth response in solving this issue. You can use your own value of resistors and capacitors in the design. Show all related calculations including total gain and the final circuit design. Please refer to Table 1 in Appendix 1 for Butterworth response. Order 1 2 3 4 5 6 Roll-off dB/decade -20 -40 -60 -80 -100 -120 APPENDIX 1 Table 2.: Butterworth response Jadual 2: Tindakbalas Butterworth 1st stage poles DF 2 2 2 2 2 1 optional 1.414 1.000 1.848 1.000 1.932 2nd stage poles DF 3rd stage poles DF 1 1.000 2 0.765 2 1.618 1 2 0.618 1.414 2 0.518