Synthesize a lowpass Chebychev filter using the following design steps.step 1) Find a normalized Chebychev function H(s) which has 3 dB passband ripple and at least 55 dB attenuation at normalized frequency ΩsΩ𝑠=10.step 2) Denormalize H(s) to ωp𝜔𝑝 = 1 krad/s.step 3) Synthesize the transfer function using one or more active filter stages shown in Figure 1.step 4) Do impedance scaling: Scale the circuit elements so that the capacitances are 100 nF or smaller.
Question
Synthesize a lowpass Chebychev filter using the following design steps.step 1) Find a normalized Chebychev function H(s) which has 3 dB passband ripple and at least 55 dB attenuation at normalized frequency ΩsΩ𝑠=10.step 2) Denormalize H(s) to ωp𝜔𝑝 = 1 krad/s.step 3) Synthesize the transfer function using one or more active filter stages shown in Figure 1.step 4) Do impedance scaling: Scale the circuit elements so that the capacitances are 100 nF or smaller.
Solution
Sure, here are the steps to synthesize a lowpass Chebychev filter:
Step 1: Find a normalized Chebychev function H(s) The normalized Chebychev function can be found using the Chebychev filter design equations. The 3 dB passband ripple and 55 dB attenuation at normalized frequency Ωs = 10 will determine the order of the filter and the values of the Chebychev coefficients.
Step 2: Denormalize H(s) to ωp = 1 krad/s The denormalization process involves replacing s in the transfer function H(s) with s/ωp, where ωp
Similar Questions
Suppose your friend says he is designing an analog filter that realizes a fifth-order bandpass transfer function based on Chebychev prototype. What would be your brief and friendly advice?
Design a Butterworth highpass filter to meet the specifications :The Gp > -1 dB, < -20 dB cop=20 rad/sec and Ws = 10 rad/se
1a) Can you realize different all-pole (*) prototype functions by using the same circuit structures? [max. 0.5p]1b) Suppose your friend says he is designing an analog filter that realizes a fifth-order bandpass transfer function based on Chebychev prototype. What would be your brief and friendly advice? [max. 0.5p]1c) The circuit in Fig. 1b: How would you attenuate the passband gain by 6 decibels without adding another RC op-amp stage? [max.2p](*) All-pole means no zeros in the transfer function.
A Digital filter with a 3dB bandwidth of 0.5π is to be designed from 1st orderanalog butterworth filter using BLT and obtain H(z
The transfer function of the Butterworth low pass filter is given as H(s)=A(s2+0.518s+1)(s2+1.414s+1)(s2+1.932s+1)𝐻(𝑠)=𝐴(𝑠2+0.518𝑠+1)(𝑠2+1.414𝑠+1)(𝑠2+1.932𝑠+1)What is the maximum passband gain (A) of this filter? 1.1522.5754.2042.235
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.