The purpose of this problem is to develop the design

Chapter 15, Problem 15.55

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The purpose of this problem is to develop the design equations for the circuit in Fig. P15.55. (See 15.50 for suggestions on the development of design equations.) a) Based on a qualitative analysis, describe the type of filter implemented by the circuit. b) Verify the conclusion reached in (a) by deriving the transfer function Write the transfer function in a form that makes it compatible with the entries in Table 15.1. c) How many free choices are there in the selection of the circuit components? d) Derive the expressions for the conductances and in terms of and the coefficients and G1 = 1 2 = 1>R2 (See 15.50 for the definition of and ) e) Are there any restrictions on or ? f) Assume the circuit in Fig. P15.55 is used to design a fourth-order low-pass unity-gain Butterworth filter. Specify the prototype values of and in each second-order section if capacitors are used in the prototype circui

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