The frequency response of an LTI system is H(e j ) = e j/4 , <

Question:

The frequency response of an LTI system is

H(e^jω) = e^–jω/4, –π < ω ≤ π.

Determine the output of the system, y[n], when the input is x[n] = cos(5πn/2). Express your answer in as simple a form as you can.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

See More Books

Question Posted: May 26, 2011 02:55 AM

See More Questions

The impulse response of an LTI system is given by h(n) = (n) (n k0). To determine the impulse response g(n) of the inverse system, an engineer computes the determine N-point DFT H (k), N = 4k0, of...
The step response of an LTI system is s(n) = (1/3) n-2 u(n + 2) (a) find the system function H(z) and sketch the pole-zero plot. (b) Determine the impulse response h(n) (c) Check if the system is...
The impulse response of an LTI system is x(t) = e-2tu(t) and the system's input is a pulse x(t) = u(t) u(t 3). Find the zero-state response of the system, y(t).
Graph each inequality or compound inequality. 5x - y > 6
Acceleration is related to velocity and time by the following expression: a = vptq. Find the powers p and q that make this equation dimensionally consistent.
A process stream contains light species 1 and heavy species 2. A relatively pure liquid stream containing mostly 2 is desired, obtained by a single-stage liquid/vapor separation. Specifications on...
How does one decide upon a valuation range? Why is the valuation range important?
ONeill Sporting Goods Co. operates two divisions-the Winter Sports Division and the Summer Sports Division. The following income and expense account were provided from the trial balance as of June...
While driving her BMW X5 2020 model, with registration number AD 54 XX GP, along R556 in Johannesburg, Ms Enne Martins was crashed into by a gas tanker truck belonging to EC Fuels (Pty) Ltd. The...
After the dot-com business he tried to start folded, David "Marty" Dawkins decided to pursue his boyhood dream of owning a bike factory. After several false starts, he finally got the small company...
A linear time-invariant system has impulse response h[n] = n u[n]. (a) Determine y 1 [n], the response of the system to the input x 1 [n] = e j(/2)n . (b) Use the result of Part(a) to help to...
Consider the cascade of LTI discrete-time systems shown in figure.? The first system is described by the equation? and the second system is described by the equation? y[n] = w[n] ? w[n ? 1].? The...
A project generates the following sequence of cash flows over six years: YearCash Flow ($ in millions) 0...............59.00 1............ 4.00 2............ 5.00 3............ 6.00 4...............
Consider demand curves for aspirin, estimated for two different sets of consumers: (a) Q = 20 5 P + 0.2 Y (b) Q = 30 5 P + 0.2 Y If Y = $20 and P = $1, calculate the price and income elasticities...
Assume that health production is subject to diminishing returns and that each unit of health care employed entails a constant rate of iatrogenic (medically caused) disease. Would the production of...
Given the cost function and economies of scale and scope information reviewed in this chapter, does a policy encouraging large, centralized hospitals seem wise? Will market forces tend to reward...
If we are trying to relate output to labor inputs and capital inputs using regression analysis, would we expect the coeffi cients of the regressions to be positive or negative? Why?
Economists defi ne the elasticity of substitution as the percentage change in the capital/ labor ratio elicited by a 1 percent change in the factor price (wages/capital costs, for example) ratio....
On December 2, 2016, Miles executed and delivered to Proctor a negotiable promissory note for $$1,000,$ payable to Proctor or order, due March 2, 2017, with interest at 14 percent from maturity, in...
A regular deposit of $100 is made at the beginning of each year for 20 years. Simple interest is calculated at i% per year for the 20 years. At the end of the 20-year period, the total interest in...
A lightning bolt strikes a tree, moving 20.0 C of charge through a potential difference of 1.00 x 10 2 MV. (a) What energy was dissipated? (b) What mass of water could be raised from 15C to the...
The following input-output pairs have been observed during the operation of various system, determine their frequency response if each of the above system is LTI. 7, (a) xin) = (" v(n) = (})" y(n) =...
(a) Determine and sketch the Fourier transform WR(?) of the rectangular sequence. (b) Consider the triangular sequence, determine and sketch the Fourier transform WT(?) of ?T(n) by expressing it as...
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...
The COVID-19 pandemic continues to challenge governments and policymakers worldwide. They have rightfully prioritised reducing the spread of the virus through social distancing interventions....
What is the relationship between government and the economy, including economic policies, and intervention? Bagheri, M., Guevara, Z., Alikarami, M., Kennedy, C. A., & Doluweera, G. (2018). Green...
3.Taxpayer, who is in the highest federal tax bracket in the current year, has a $5,000 gain from a collectible and a $5,000 gain from stock, both held long-term. (a) What is Taxpayer's net capital...

The frequency response of an LTI system is H(e j ) = e j/4 , <

Question:

Step by Step Answer:

xn can be rewritten as We n...View the full answer

Discrete Time Signal Processing

Students also viewed these Telecommunication Engineering questions