R wH 14.1 It is required to design a fifth-order Butterworth low-pass filter with a de gain of unity, a passband edge of
Posted: Tue Apr 12, 2022 10:10 am
R wH 14.1 It is required to design a fifth-order Butterworth low-pass filter with a de gain of unity, a passband edge of 104 rad/s, and a maximum deviation in the passband transmission of 3 dB (i.e., e = 1). (a) Find the transfer function(s) and give wo and Q of each of the two pairs of complex-conjugate poles. Also, specify the frequency of the real pole. (b) Provide a complete circuit realization of the filter as a cascade of two second-order sections and a first-order section. For the second-order sections, use realizations based on the inductance- simulation circuit of Fig. 14.1.1. For the first-order section, use an op amp-RC circuit. Design so that all capacitors are equal to 10 nF and as many of the resistors as possible are equal. Give the complete circuit and specify the values of all resistors. (e) What is the attenuation achieved at the stop- band edge, 2 x 109 rad/s? LE CR, R, RR Figure 14.1.1