An ideal digital differentiator is described by the system1yn=(xn+1-xn-1)-— — (xn+2] − x n − 2]) + 1 = (x[n + 3] − x[n − 3]) + ...(a) Is the system LTI?(b) Is it causal?(c) Prove it is not BIBO stable.(d) Provide a bounded input a[n] that produces an unbounded output y[n].

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Answered: An ideal digital differentiator is…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Write python program to plot the zeros and poles if a user provides the coefficients for the numerator and denominator of the transfer function. Since the zeros and poles can be complex, this plot is essentially and argand diagram, where the x axis is the real component and the y axis the imaginary component of a given zero or pole. Create a method called plot-poles zeros(num, den) which takes two lists containing the coefficients. Here is an example and the resulting plot. num [1, 3, 7] # yields zeros at -1.5 +/- 2.17945j den = [1, 4, 5, 3] # yields poles at -2.46557, -0.7672143 +/- 0.7925519j plot_poles_zeros(num, den) Imaginary Page 2 Pole-Zero Plot 3 Zeros × Poles 2 1 -2 1 * Real When you write your code you are only allowed to use the packages numpy and matplotlib. Make sure you label the axes, provide a legend and give a title to your plot (See the example plot). Hint: numpy has a method called roots. When given a list of numbers corresponding to the coefficients of a polynomial,…
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Design a circuit using a Multiplexer, that has two inputs X, and S, where X represents an 8-bit BCD number,S is a sign bit. The circuit has one output Y, which is the Binary representation of thesigned-magnitude BCD number. A negative output is represented in the Binary 2’scomplement form.
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The graphical methods could be extended to other models. Develop a Method of estimating the parameters in a second-order transfer function a constant numerator for a step input forcing function. The method should be able to fit both over damped and under damped identification systems. State all assumptions and explain all six steps.

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An ideal digital differentiator is described by the system 1 yn=(xn+1-xn-1)-— — (xn+2] − x n − 2]) + 1 = (x[n + 3] − x[n − 3]) + ... (a) Is the system LTI? (b) Is it causal? (c) Prove it is not BIBO stable. (d) Provide a bounded input a[n] that produces an unbounded output y[n].