Static or dynamic, Mathematics

Assignment Help:

Consider a discrete-time system that is characterized by the following difference equation:

Y(n) = x(n)cos?0n,

where ?0 is constant value, x(n)are the discrete-time input data of the system, y(n)are the discrete-time output data of the system.

 Is the discrete-time system governed by the given difference equation:

(a) static or dynamic?

(b) time-invariant or time-variant?

(c) linear or nonlinear?

(d) causal or noncausal?

(e) stable or unstable?

Explain your answers for all questions and prove your conclusions analytically for questions b,c and d.


Related Discussions:- Static or dynamic

Determine the centralizer and the order of the conjugacy, Determine the cen...

Determine the centralizer and the order of the conjugacy: 1)      Determine the centralizer and the order of the conjugacy class of the matrix [1, 1; 0, 1] in Gl­ 2 (F 3 ).

Collecting and interpreting data, Q. How to Collecting and interpreting dat...

Q. How to Collecting and interpreting data? Ans. Collecting and interpreting data is the most important job of a statistician. There are many types of studies and differe

Example of spiral development of the mathematics curriculum?, E1) Can you g...

E1) Can you give some more examples of the spiral development of the mathematics curriculum? E2) A Class 3 child was asked to add 1/4 + 1/5. She wrote 2/9. Why do you feel this

Example of rounding off, Example of Rounding Off: Example: Round ...

Example of Rounding Off: Example: Round off the subsequent number to two decimal places. 6.238 Solution: Step 1:             8 is the number to the right of t

One-to-one correspondence in learning maths, How does your answer to this q...

How does your answer to this question compare with mine, which follows? i) To begin with, 1 laid the beads out in a row for counting, so that I wouldn't leave any out or count a

Karatsubas algorithm, Consider the following two polynomials in F 17 [x] ...

Consider the following two polynomials in F 17 [x]   (a) Use Karatsuba's algorithm, by hand, to multiply these two polynomials. (b) Use the FFT algorithm, by hand, to

Solve 9 sin ( 2 x )= -5 cos(2x ) on[-10, Solve 9 sin ( 2 x )= -5 cos(2x ) o...

Solve 9 sin ( 2 x )= -5 cos(2x ) on[-10,0]. Solution At first glance this problem appears to be at odds with the sentence preceding the example. However, it really isn't.

Determine randomly generated bit string, Assume E is the event that a rando...

Assume E is the event that a randomly generated bit string of length 4 starts with a 1 and F is the event that this bit string consists of an even number of 1's. Are E and F indepe

Determine how many poles are there in the stack, 1. A stack of poles has 22...

1. A stack of poles has 22 poles in the bottom row, 21 poles in the next row, and so on, with 6 poles in the top row. How many poles are there in the stack? 2. In the formula N

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd