Consider a discrete-time linear time-invariant system with impulse response h[n]. If the input x[n] is a periodic

Question:

Consider a discrete-time linear time-invariant system with impulse response h[n]. If the input x[n] is a periodic sequence with period N (i.e., if x[n] = x[n + N]), show that the output y[n] is also a periodic sequence with period N.

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

Consider a causal continuous-time system with impulse response h c (t) and system function? (a) Use impulse invariance to determine H 1 (z) for a discrete-time system such that h 1 [n] = h c (n T)....
Consider an ideal low pass filter with impulse response h (n) and frequency responses. What is the frequency response of the filter definedby 1. Hio) %3D 0. "() (3) n even gin) = 0. 2 odd
Consider a causal LTI system with impulse response h[n], and input x[n] = x 1 [n] x 1 [n 2] + x 1 [n 4] where x 1 [n] = u[n] u[n 2]. The impulse response of the system is h[n] = u[n] u[n 2] (a) Use...
Write the boldfaced numbers in each problem in scientific notation. The largest of the 50 United States is Alaska, with land area of about 365,482,000 acres, while the smallest is Rhode Island, with...
A doctor, preparing to give a patient an injection, squirts a small amount of liquid straight upward from a syringe. If the liquid emerges with a speed of 1.5 m/s, (a) How much time does it take for...
Kwik Office Supplies hired Jackson to act as its manager. The employment contract spelled out, in substantial detail, the various rights and obligations that the parties assumed under the agreement....
Table B. 24 contains data on home rental prices and home sales. Use all possible regressions to build a model for these data. Perform a residual analysis on the final model and comment on model...
Suppose Nikes managers were considering expanding into producing sports beverages. Why might the company decide to do this under the Nike brand name?
Consider the following implementation of an iterative method: from numpy import cos, sin, log. x = 0.5 err = abs (cos(x)+log(x)) while err > 1e-6: dx = (cos(x)+log(x))/(-sin(x) +1/x) x += - dx err =...
You work for the 3T company, which expects to earn at least 18 percent on its investments. You have to choose between two similar projects. Below is the cash information for each project. Your...
The system L in Figure is known to be linear. Shown are three output signals y 1 [n], y 2 [n], and y 3 [n], in response to the input signals x 1 [n], x 2 [n], and x 3 [n], respectively. (a) Determine...
Consider a system with input x[n] and output y[n]. The input-output relation for the system is defined by the following two properties: 1. y[n] ay[n 1] = x[n], 2. y[0] = 1. (a) Determine whether...
One single-digit number is selected randomly. a. List the sample space. b. What is the probability of each single digit? c. What is the probability of an even number?
A property is leased for $100 NNN (triple net) with no rent increases for 50 years. However the owner of this asset is liable for a sizable TI $ and broker's fees $110 due in year 6. If you are...
Joe is buying a new plasma TV at Circuit Town. The salesman offers Joe a three-year extended warranty for $60. The salesman tells Joe that 24% of these plasma TVs require repairs within the first...
The price of Amazon shares rose by 35.5% a year in the 5 years preceding the end of 2016. If you had invested $100 in Amazon at the beginning of this period, how much would you have by the end of the...
Troy Hancey has been making payments on his 9.5% boat loan for what seems like forever! Troy made a payment on May 1. His balance after that payment was $3,129.84. He just sold some stock and decides...
Company Revenue for Fiscal Year 2014 (millions of dollars) Walmart 476,294 Exxon Mobil 407,666 Apple 170,910 General Motors 155,427 Ford Motor 146,917 General Electric 146231 Identify and explain...
Do you think establishing a code of ethics is sufficient to ensure ethical behavior in an organization? What other forms of action or behavior might be necessary to ensure ethical business behavior?
Reduction in sales All of the above 29. Belt of an electric motor is broken, it needs a. Corrective maintenance b. Scheduled maintenance c. Preventive maintenance d. Timely maintenance. 30. The...
A doubly charged ion is accelerated to an energy of 32.0 keV by the electric field between two parallel conducting plates separated by 2.00 cm. What is the electric field strength between the plates?
Consider the system Determine the impulse response of the system. 1- 2:- + 2:- - {1-:i- 0.5:-0(1-0.2: H:) = ROC: 1.5 < <1
Compute the response of the system y(n) = 0.7y (n 1) -0.12y(n 2) + x(n 1) + x(n 2) to the input x(n) = nu(n). Is the system stable?
Determine the impulse response and the step response of the following causal systems. Plot the pole-zero patterns and determine which of the system arestable. (a) vin) yn - 1) -(n - 2) + x{n) (b)...
The GASB format cash flow statement Blank______. Multiple select question. includes cash received from investment income as an investing activity requires cash flows from operating activities to be...
Consider the data shown: 36 49 88 19 28 106 61 83 44 23 94 34 39 68 72 79 50 Find the five-number summary. Find the interquartile range. Draw a boxplot.
Mr. Jenkins builds Victorian dollhouses. He wants to carpet every room of a seven-room doll house. The square inches for each room are 120, 90, 64, 40, 56, 36, and 70. How many square inches of...

Consider a discrete-time linear time-invariant system with impulse response h[n]. If the input x[n] is a periodic

Question:

Step by Step Answer:

For an LTI system we use the convolution equatio...View the full answer

Discrete Time Signal Processing

Students also viewed these Telecommunication Engineering questions