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 relative global error, Consider the differential equation giv...

Consider the differential equation give by y′ = -10(y - sin t) (a) Derive by hand exact solution that satis?es the initial condition y(0) = 1. (b) Numerically obtain the s

Problems with applying algorithms , PROBLEMS WITH APPLYING ALGORITHMS :  F...

PROBLEMS WITH APPLYING ALGORITHMS :  From your experience, you would agree that children are expected to mechanically apply the algorithms for adding or subtracting numbers, regar

Example of integrals involving quadratics, Evaluate the following integral....

Evaluate the following integral. ∫√(x 2 +4x+5) dx Solution: Remind from the Trig Substitution section that to do a trig substitution here we first required to complete t

Implicit differentiation, Implicit Differentiation : To this instance w...

Implicit Differentiation : To this instance we've done quite a few derivatives, however they have all been derivatives of function of the form y = f ( x ) .  Unluckily not all

Large samples, LARGE SAMPLES These are samples that have a sample size ...

LARGE SAMPLES These are samples that have a sample size greater than 30(that is n>30) (a)   Estimation of population mean Here we suppose that if we take a large sample

Parseval theorem, Verify the Parseval theorem for the discrete-time signal ...

Verify the Parseval theorem for the discrete-time signal x(n) and its DFT from given equations. Compute the linear convolution of the discrete-time signal x(n) ={3, 2, 2,1} and

Triple integral transformed, An elliptical galaxy has gravitational boundar...

An elliptical galaxy has gravitational boundaries defiend by 9x 2 +16y 2 +144z 2 =144. A black hole at the center of the galaxy is interacting with dark matter producing a radiatio

Find the determinant and inverse matrix, Find the Determinant and Inverse M...

Find the Determinant and Inverse Matrix (a) Find the determinant for A by calculating the elementary products. (b) Find the determinant for A by reducing the matrix to u

Algebra, let setM={X,2X,4X} for any numberX .if average (arthemetic mean)of...

let setM={X,2X,4X} for any numberX .if average (arthemetic mean)of the number in setM is 14.what is the value of X?

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