An LTI system with impulse response h 1 n is an ideal lowpass filter with cutoff frequency c 2 The frequency response of the system is H 1 (e j ) Suppose a new LTI system with impulse response h 2 n is obtained from h 1 n by h 2 n (1) n h 1 n Sketch the frequency response H 2 (e j ) rInl Unit circle Mth order pole at z 0, M2 2 and M is an integer z plane Re xInl rin

Question: An LTI system with impulse response h 1 [n] is an ideal lowpass filter with cutoff frequency c = /2. The frequency response of

An LTI system with impulse response h₁[n] is an ideal lowpass filter with cutoff frequency ω_c = π/2. The frequency response of the system is H₁(e^jω). Suppose a new LTI system with impulse response h₂[n] is obtained from h₁[n] by

h₂[n] = (–1)ⁿ h₁[n]

Sketch the frequency response H₂(e^jω).

rInl Unit circle Mth-order pole at z -0, M2 2 and M is an integer z plane Re xInl rin

Step by Step Solution

★★★★★

3.24 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Making use of some DTFT properties can aide i... View full answer

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 (225).docx

120 KBs Word File

Students Have Also Explored These Related Telecommunication Engineering Questions!

An ideal discrete-time lowpass filter with cutoff frequency c = 2/5 was designed using impulse invariance from an ideal continuous-time lowpass filter with cutoff frequency c = 2 (4000) rad/s. What...

Consider an LTI system with impulse response h(n) = (1/2)n u(n). (a) Determine and sketch the magnitude and phase response |H (?)| (b) Determine and sketch the magnitude and phase spectra for the...

Consider an LTI system with impulse response h(n) = [(1/4)u cos(/4n)] (a) Determine its system function H(z) (b) Is it possible to implement this system using a finite number of adders, multipliers...

Can you elaborate on the role of photosynthetic electron carriers, such as plastoquinone, plastocyanin, and ferredoxin, in shuttling electrons between photosystems and driving ATP synthesis and NADPH...

2. Matlab problem 1: Design an FIR filter using Truncation Ideally, a low-pass filter with cutoff frequency we should have a frequency response of ideal (ei and a corresponding impulse response of...

Let S 1 be a causal and stable LTI system with impulse response h 1 [n] and frequency response H 1 (e j ). The input x[n] and output y[n] for S 1 are related by the difference equation y[n] y[n 1]...

please walk through the whole project please. Thank you First generate and plot a sinusoidal signal with amplitude 1, frequency 10 Hz and phase of pi/4 for a duration of 0.5 sec with 1 a) ms...

Question No. 2-(25 points) Design by windowing a causal, symmetric finite impulse response (FIR) filter that approximates an ideal bandpass filter Ha(e2r) as shown below with cut-off frequencies fci...

Make a feasibility study for the Virtual Reality In Education project by making the balance sheet, Project Cost, and Financial Plan. The donor is a non-profit financial institution. The investment...

Another way to solve square systems is to use the inverse of the coefficient matrix. For a 2 x 2 matrix, the inverse has a fairly simple form. Suppose A = the inverse of A is a 0. Then Le di A-1 = 1_...

Find each of the following F values: a. F.05, v1 = 4, v2 = 4 b. f.01, v1 = 4, v2 = 4 c. F.10 v1 = 30, v2 = 40 d. F.025 v1 = 15, v2 = 12 For Information: Use Tables V. VI, VII, and VIII in Appendix D

Waiting time, cost considerations, customer satisfaction. Refer to the information presented in Exercise 19-22. The head of the registration advisors at SMU has decided that the advisors must finish...

A certificate of deposit, or CD, pays a fixed rate of interest on deposits ranging in term from: ANSWER Unselected 1 year to 5 years. Unselected 6 months to 2 years. Unselected 30 days to several...

What constitutes significant influence when an investors financial interest is below the 50% level?

Water at 50F and 50 psia is heated in a chamber by mixing it with saturated water vapor at 50 psia. If both streams enter the mixing chamber at the same mass flow rate, determine the temperature and...

Presented below is the SEC-mandated disclosure of contractual obligations provided by Deere & Company in a recent annual report. Deere & Company reported current assets of $27,208 and total current...

Calculating Number of Periods One of your customers is delinquent on his accounts payable balance. Youve mutually agreed to a repayment schedule of $300 per month. You will charge .9 percent per...

Medwig Corporation has a DSO of 17 days. The company averages $3,500 in credit sales each day what is the companys average accounts receivable?

The picture shown depicts the species present at the start of a combustion reaction between methane, CH 4 , and oxygen, O 2 . (a) Draw the resulting state after this set of reactants has reacted as...

A beryllium-copper metal flat belt with Sf = 56.67 kpsi is to transmit 5 hp at 1125 rev/min with a life goal of 106 belt passes between two shafts 20 in apart whose centerlines are in a horizontal...

For the conditions of Prob. 1715 use a 1095 plain carbon-steel heat-treated belt. Conditions at the driving pulley hub require a pulley outside diameter of 3 in or more. Specify your belt, pulley...

A single V belt is to be selected to deliver engine power to the wheel-drive transmission of a riding tractor. A 5-hp single-cylinder engine is used. At most, 60 percent of this power is transmitted...

Instructions: Complete each of the following four problems using the TVOM calculations within Excel. The assignment MUST be done on an Excel spreadsheet (you will need to create your own spreadsheet)...

b VEE Paradoxically, liquidity problems with receivables and/or inventory means that the current ratio is higher than when there are no such liquidity problems True o Falso

In recent years, fishermen have suffered financial hardship because of shortened fishing seasons, reduced catches and lower market prices. Moreover, fishermen have complained about price fluctuations...