Reference no: EM132723985
Lab Exercise: Filter Design
In this section, we will use PeZ to place the poles and zeros of H(z) to make a filter with a desirable frequency response. Filter design is a process that selects the coefficients {ak} and {bk} to accomplish a
Figure 1: Magnitude response of two unknown filters. Frequency axis is normalized. Use PeZ to help you find the filter coefficients that will match these frequency responses as closely as possible. (a) Second-order FIR filter. (b) Second-order IIR filter.
given task. The task here is to create a filter that has a very narrow "notch." This filter would be useful for removing one frequency component while leaving others undisturbed. The notch filter can be synthesized from the cascade of two simpler filters shown in Fig. 1.
(a) Start the process by using PeZ to design each of the filters given in Fig. 1. (You will have to determine the locations of the poles and zeros from the plots in Fig. 1.) Both filters are second-order. Make sure that you enter the poles and zeros precisely. PeZ will do the conversion between between root locations and polynomial coefficients, but you could also do this with the MATLAB commands roots and poly. You can check your results by also calculating the filter coefficients by hand (see the next section on polynomials with complex coefficients). Record the coefficients of your filters in the table provided.
Note: Use PeZ or freqz() to verify that the frequency response of each filter is correct.
(b) Now use PeZ to connect the filters together in a cascade. Place the poles and zeros, and then view the frequency response. Determine the filter coefficients for the overall cascaded filter H(z).
(c) Use freqz() to determine the frequency response of the cascade of the two filters that you "de- signed" in part (e). Plot the magnitude of the overall frequency response of the cascade system for, and print a copy of the plot for your lab report.
2 Explain briefly why the frequency response magnitude has a notch, and explain why the gain (i.e., |H(ejω)|) at ω = 0 and ω = Π is the same.
|
Exercise - complex poles and zeros
: Explain briefly why the frequency response magnitude has a notch, and explain why the gain (i.e., |H(ej?)|) at ? = 0 and ? = ? is the same.
|
|
How much is the minimum acceptable transfer price
: Another company offered to supply a similar product to Division B at P110 per tube. How much is the minimum acceptable transfer price for Division A?
|
|
What is harry net investment income tax liability
: Harry (single) has taxable income of $425,000, including $40,000 of long-term capital gains. What is Harry's net investment income tax liability?
|
|
Which the journal entry to record the division of net income
: Which the journal entry to record the division of net income to partners includes? A credit to Income Summary and a debit to the partners' capital accounts
|
|
Explain briefly why the frequency response magnitude
: Explain briefly why the frequency response magnitude has a notch, and explain why the gain - create a filter that has a very narrow notch
|
|
Journalize the transactions in a six-column cash receipts
: Journalize the transactions in a six-column cash receipts journal and cross-foot the journal. (Record entries in the order displayed in the problem)
|
|
Would have a gain or loss on the disposal of the equipment
: On January 1, 2019, you sold the conveyor belt for $3,800. Would you have a gain or loss on the disposal of the equipment? How much?
|
|
Prepare the journal entries for sc the seller-lessee
: A Sale Snoopy Corp. (SC), Prepare the journal entries for SC, the seller-lessee, for January 1, 2017 (recognition and initial measurement)
|
|
Lab - complex poles and zeros
: Complex Poles and Zeros - What property of the polynomial coefficients - Describe the changes in |H(ej?)|. Concentrate on the location of the peak
|