Question: We wish to design a discrete-time lowpass filter using the bilinear transformation on a continuous-time ideal lowpass filter. Assume that the continuous-time prototype filter has

We wish to design a discrete-time lowpass filter using the bilinear transformation on a continuous-time ideal lowpass filter. Assume that the continuous-time prototype filter has cutoff frequency Ω_c = 2π(2000) rad/s and we choose the bilinear transformation parameter T = 0.4 ms. what is the cutoff frequency ω_c for the resulting discrete-time filter?

Step by Step Solution

★★★★★

3.43 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

30-E-T-E-D-S-P (309).docx

120 KBs Word File

Students Have Also Explored These Related Telecommunication Engineering Questions!

We wish to design a FIR bandpass filter having a duration M = 201. Hd(?) represents the ideal characteristic of the noncausal bandpass filter as shown in figure.(a) Determine the unit sample...

We wish to design a digital bandpass filter from a second-order analog lowpass Butterworth filter prototype using the bilinear transformation. The specifications on the digital filter are shown in...

We wish to design a supersonic wind tunnel which produces a Mach 2.8 flow at standard sea level conditions in the test section and has a mass flow of air equal to 1 slug/s. Calculate the necessary...

The bilinear transformation is used to design an ideal discrete-time lowpass filter with cutoff frequency c = 3/5 from an ideal continuous-time lowpass filter with cutoff frequency c = 2 (300)...

1. Robin invests $8,000 at 6% interest compound annually. How much will he have after 4 years? 2. Sara wants to have $500,000, 10 years from now. How much should she invest now if she supposes to...

Review Problems 3 Four FIR Filter Types Four types of FIR linear phase digital filters have coefficients h(n) for 0 n M. They are defined as follows: Type I: h(n) = h(M-n) and M even. Type II: h(n) =...

Part II: IIR Filter Design Using Bilinear Transform Method Introduction and Theoretical Background The goal of this part is to design a digital filter for removing a "hissing" distortion that...

A continuous-time filter with impulse response h c (t) and frequency-response magnitude is to be used as the prototype for the design of a discrete-time filter. The resulting discrete-time system is...

2. Design a MOSFET-C fully-balanced filter based on the continuous-time filter prototype as shown in Fig. 2. Determine the unknown component values in the filter prototype at nominal cut-off...

An ideal discrete-time highpass filter with cutoff frequency c = /2 was designed using the bilinear transformation with T = 1 ms. what was the cutoff frequency c for the prototype continuous-time...

Identify and describe briefly each of the purposes of project scheduling?

The 2020 comparative balance sheet and income statement of Reyes Winery, Inc. follows: Reyes Winery, Inc. Comparative Balance Sheet December 31, 2020 and 2019 Increase (Decrease) 2020 Current assets:...

Which statement best describes a Solid State Drive ( SSD ) ? Select one: a . electro - mechanical device which uses both electrical and moving components b . electronic means of storage and has no...

Repeat Example 5.4 for external reflux flow rates Lo of (a) 1,500 lbmol/h (b) 2,000 lbmol/h (c) 2,500 lbmol/h Plot dc3/bc3 as a function of Lo from 1,000 to 2,500 lbmolh. In making the calculations,...

EAR versus APR Two banks in the area offer 30-year, $220,000 mortgages at 7.2 percent and charge a $1,500 loan application fee, however, the application fee charged by Insecurity Bank and Trust is...

A spherical capacitor contains a charge of 3.30 nC when connected to a potential difference of 220 V. If its plates are separated by vacuum and the inner radius of the outer shell is 4.00 cm,...

Calculating Loan Payments You need a 30-year, fixed-rate mortgage to buy a new home for $220,000, your mortgage bank will lend you the money at a 6.8 percent APR for this 360-month loan. However, you...

For the frame and loading shown, determine the reactions at A and C. 130 N 30 mm 60 mm 40 mm-

Generally, an excess of O 2 is needed for the reaction Sn + O 2 SnO 2 . What is the minimum number of moles of oxygen required to oxidize 7.3 moles of tin?

Find the reactions at the supports and plot the shear-force and bending-moment diagrams for each of the beams shown in the figure on page 123. Label the diagrams properly. 2 kN 4 kN/m 40 Ibf 60 Ibf 4...

Repeat Prob. 3-3 using singularity functions exclusively (for reactions as well). 2 kN 4 kN/m 40 Ibf 60 Ibf 4 in 4 in 6in 4 in D 200 mm 150 mm 150 mm 30 lbf | R2 1000 lbf 1000 lbf 2000 Ibf 6 ft 4 ft...

A beam carrying a uniform load is simply supported with the supports set back a distance a from the ends as shown in the figure. The bending moment at x can be found from summing moments to zero at...

! Required information Problem 9-4A Estimating warranty expense and liability LO P4 [The following information applies to the questions displayed below.] On October 29, Lobo Co. began operations by...

What is the primary goal of cryptography? 2 a . Data Entry b . Data Analysis c . None of these d . Data Encryption e . Data Compression

Consider the following information: State of Probability of Economy State of Economy Stock A Boom .25 .19 Good .20 .13 Poor .10 -.04 Bust .45 -.12 Rate of Return if State Occurs Stock B Stock C .30...