ECET 350 Topic 1 Lab DeVry

1. ECET 350 Topic 1 Lab DeVry Just Click on Below Link To Download This Course: https://www.coursetutor.us/product/ecet-350-topic-1-lab-devry/ Or Email us help@coursetutor.us ECET 350 Topic 1 Lab DeVry ECET 350 Topic 1 Lab 1 Sallen Key Active Filter Design Objectives Design and simulate a Butterworth, low-pass Sallen-Key active filter Tools Needed  Multisim Software Introduction  Active filters are key elements in both analog and digital signal processing. In this lab, you will first design, and using Multisim, simulate a Butterworth type, Sallen-Key low-pass filter comparing the design specifications against the simulation. Next, you are to actually construct the designed Butterworth and test its response measured against the design specifications, noting any differences between the simulated filter and the actual filter. Deliverables Answer all questions, complete all tables, and paste all figures and graphs in the Week 1 Lab Cover Sheet here (Links to an external site.) . Submit your Week 1 Lab Cover Sheet. You can also download the Week 1 Cover Sheet for the Week 1 Lab in the Files section of the Course Menu. Required Software Multisim and Excel Access the software at https://lab.devry.edu (Links to an external site.).

2. Lab Steps STEP 1: Butterworth, Low-Pass Sallen-Key Active Filter Design In this part, you will design an active low-pass filter with the following specifications. Second-order low-pass filter, 3-dB ripple at the cut-off frequency of 3 kHz, type: Butterworth, circuit topology (VCVS): low-pass Sallen-Key circuit The second-order, low-pass prototype for Butterworth type is given as HP(s)=Hos2+1.4142s+1HP(s)=Hos2+1.4142s+1where HoHois DC gain to be determined, and the cut-off frequency ωC=2π.3000ωC=2π.3000rad/s. 1. Determine the transfer function using low-pass to low-pass transformation: s=sωCs=sωC. Include your answer in the Lab cover report and from the transform function, identify the b0 and b1 coefficients. H(s)=H(s)=bo=bo= b1=b1=Choose the second-order, Sallen-Key low-pass filter shown in Figure 1. Figure 1: Second-Order, Sallen-Key Low-Pass Filter

3. Based on circuit analysis, the circuit transfer function of the Sallen-Key low-pass filter shown in Figure 1 is given below. G(s)=VoutVin=Gbos2+b1s+boG(s)=VoutVin=Gbos2+b1s+boWhere G=1+R4R3,bo=1R1R2C1C2G=1+R4R3,bo=1R1R2C1C2b1=1R1C2+1R2C 2−R4R2R3C1b1=1R1C2+1R2C2−R4R2R3C1To solve for circuit parameters, one of the solutions could be determined using the following conditions. C1=C2=0.01μFC1=C2=0.01μFand R1=R2R1=R2. 2. By matching coefficients of the Butterworth filter transfer function, H(s),H(s),with the Sallen-Key circuit transfer function ,G(s),G(s), the design formulas are found below. Calculate values for the circuit parameters, and include your answers in the Lab cover report. R1=R2=√1boC1C2=R1=R2=1boC1C2=For a Butterworth response, the ratio of R4R3R4R3may be set at 0.586. If R3 is selected to be 10 kΩ, calculate the value for R4 and copy all calculation and values for R1, R2, R3, and R4 in the Week 1 Lab cover report. R1=R2=R3=R4=R1=R2=R3=R4=3. Calculate the theoretical filter gains, and complete the calculated entries in Table 1 in the Lab cover report for verification. Note: The pass band ripple, Ap, for this type of Butterworth filter you may assume is approximately 3 dB. Ho=G=1+R4R3=G(dB)=20logG=Ho=G=1+R4R3=G(dB)=20logG=ϵ2=10Ap( dB)10−1=ϵ2=10Ap(dB)10−1=MC=Ho√1+ϵ2=MC(dB)=20logMC=MC=Ho1+ϵ 2=MC(dB)=20logMC=Roll-off rate: RR≅−20N=RR≅−20N=(dB/decade) where N is the order of the filter. Where G(dB)G(dB): the filter DC gain MC(dB)MC(dB): the gain at ωCωC(radians/sec) ωCωC: the cut-off frequency APAP: the passband ripple (dB) HoHo: the filter passband gain RRRR: the roll-off rate (dB/decade)

4. 4. Use MultiSim to simulate the designed Sallen-Key circuit and verify DC gain, gain at the cutoff frequency, and roll-off rate from the Bode plotter. Copy the Multisim schematic of your filter, and paste it into the Week 1 Lab cover report. Next, copy the steady state frequency response from the Bode-plotter, and paste it into the Week 1 Lab cover report, as well. Complete the measured entries in Table 1 in the Week 1 Lab cover report. Note that for the low-pass filters, the estimated roll-off rate is RR(dbdecde)=G1(dB)−G2(dB)logf1−logf2=G1(dB)−G2(dB)log(f1f2)RR(dbd ecde)=G1(dB)−G2(dB)logf1−logf2=G1(dB)−G2(dB)log(f1f2)where G1G1at frequency f1f1and G2G2at frequency f2f2are two measured gains beyond the cutoff frequency. You may also want to modify the Bode output window to record measurements over a wider range of frequencies and magnitudes.

5. Figure 2: Multisim Example of Filter Simulation—Values Are Not Correct for This Lab Download File Now