The following model is commonly assumed in communica- tion systems. Consider a system with input x(t)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The following model is commonly assumed in communica- tion systems. Consider a system with input x(t) and output y(t) defined by the equation where T> 0. 1 y(t) = Σ ( 1² ) |k| x(t – kT) a. Prove that the system is linear b. Prove that the system is time-invariant c. Find the impulse response h(t). Plot h(t). d. Is the system causal? Why or why not? e. Is the system BIBO stable? Why or why not? f. Suppose x(t) = u(t) in which u(t) is the unit-step signal. Find the corresponding y(t) for this particular input. g. Sketch y(t). The following model is commonly assumed in communica- tion systems. Consider a system with input x(t) and output y(t) defined by the equation where T> 0. 1 y(t) = Σ ( 1² ) |k| x(t – kT) a. Prove that the system is linear b. Prove that the system is time-invariant c. Find the impulse response h(t). Plot h(t). d. Is the system causal? Why or why not? e. Is the system BIBO stable? Why or why not? f. Suppose x(t) = u(t) in which u(t) is the unit-step signal. Find the corresponding y(t) for this particular input. g. Sketch y(t).
Expert Answer:
Answer rating: 100% (QA)
a yt12 2 xt2T12 1 xtT12 0 xt12 1 xtTyt 14xt2T12xtTxt12xtT To say it is linear the sum of ... View the full answer
Related Book For
Posted Date:
Students also viewed these programming questions
-
An investment of $10,000 has a geometric mean return of 0.1475 after 4 years. What is the value of the investment at the end of year four?
-
The following problems consider approaches to stabilize an unstable system. (a) An unstable system can be stabilized by using negative feedback with a gain Kin the feedback loop. For instance...
-
See the list of liability balances below as of December 31, 2017. ACCOUNTS PAYABLE - $20,000 EMPLOYEE HEALTH INSURANCE PAYABLE - $1150.00 EMPLOYEE INCOME TAX PAYABLE - $900.00 ESTIMATED WARRANTY...
-
Wesley and Camilla (ages 90 and 88, respectively) live in an assisted care facility and for 2018 and 2019 received their support from the following sources: a. Which persons are eligible to treat...
-
Why do businesses that have been spun off from their parent often immediately put antitakeover defenses in place?
-
In researching a tax question, you find only one authority (a trial-level court opinion) that is directly on point. Which court would you least prefer to have heard this case and why?
-
Think of an experiment to measure diffusion coefficients that you could set up at home or in your apartment. Detail the equipment list. Estimate the amount of change you will observe. Will you be...
-
Manufacturing cost flow for monthly and annual accounting periods Dorothy Huddle started Huddle Manufacturing Company to make a universal television remote control device that she had invented. The...
-
2 . You are also considering another project that has a physical life of 5 years; that is , the machinery will be totally worn out after 5 years. However, if the project were terminated prior to the...
-
Adden Company signs a lease agreement dated January 1, 2019, that provides for it to lease non-specialized heavy equipment from Scott Rental Company beginning January 1, 2019. The lease terms,...
-
Youve dreaded it for a while, but now you feel prepared. In 30 minutes youll have to terminate Tim, a 12-year employee who is beloved by everyone in the firm. Unfortunately, he just hasnt performed...
-
1--Explain how the IRS might use social media data to profile taxpayers that might be underpaying taxes. What additional information would they need to consider in addition to social media data to...
-
Juan Diego began the year with a tax basis in his partnership interest of $50,800. During the year, he was allocated $20,320 of partnership ordinary business income, $71,120 of $1231 losses, and...
-
On January 1, 2018, Lime acquired 80,000 common shares of Stone's for $900,000. On that day, Stone's balance sheet showed the following shareholders' equity: $ 2 Cumulative preferred shares, 20,000...
-
On November 7, Mura Company borrows $270,000 cash by signing a 90-day, 10%, $270,000 note payable. 1. Compute the accrued interest payable on December 31. 2. & 3. Prepare the journal entries to...
-
Kristen Lu purchased a used automobile for $22,900 at the beginning of last year and incurred the following operating costs: Depreciation ($22,900 + 5 years) Insurance Garage rent Automobile tax and...
-
For her dissertation, Catherine wanted to study the role of women in management positions in organisations. In particular, she was interested in difficulties women experience in management positions....
-
The tractor is used to lift the 150-kg load B with the 24-mlong rope, boom, and pulley system. If the tractor travels to the right at a constant speed of 4 m/s, determine the tension in the rope when...
-
An analog averager is characterized by the following relationship where x(t) is the input and y(t) the output. If x(t) = u(t) 2u(t 1) + u(t 2), (a) find the Fourier transform of the output...
-
If we wish to preserve low frequencies components of the input, a low-pass Butterworth filter could perform better than a Chebyshev filter. MATLAB provides a second Chebyshev filter function cheby2...
-
Notch filters is a family of filters that includes the all-pass filter. For the filter (a) Determine the values of α 1 , α 2 , and K that would make H(z) an all-pass...
-
Indicate whether each of the cost control methods listed in a through \(f\) is (1) preventive, (2) corrective, or (3) diagnostic. a. Preparation of an annual production budget of variable and fixed...
-
Choose letter \(\mathrm{C}\) (for committed fixed cost) or \(\mathrm{D}\) (for discretionary fixed cost) to indicate the type of each of the following described costs. a. Professional meeting...
-
The following data are from a recent General Electric Company annual report. All amounts, except per share data, are in \(\$\) millions. Required Compute the following ratios for the General Electric...
Study smarter with the SolutionInn App