Q1) A causal system is represented by the following difference equation: y(n)=x(n) - - x(n-1)+ y(n-1) - y(n-2) a) Find the system transfer function H[z]. b) From (a) find the impulse response of the system using partial fraction. c) Find the frequency response

Q1) A causal system is represented by the following difference equation: y(n)=x(n) - - x(n-1)+ y(n-1) - y(n-2) a) Find the system transfer function H[z]. b) From (a) find the impulse response of the system using partial fraction. c) Find the frequency response

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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Question

Q1)
A causal system is represented by the following difference equation:
y(n)=x(n) - x(n-1)+ y(n-1) - - y(n-2)
a) Find the system transfer function H[z].
b) From (a) find the impulse response of the system using partial fraction.
c) Find the frequency response
d) Sketch the realization of the system
e) Is the system stable or not?

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problem 1 please write it clearly so i can read it thank you
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Problem 2 Each of the following figures shows the impulse response of a LTI system h[n]. For each figure in (a), (b), (c) and (d): (i) Firstly write an expression of h[n] and then find an expression of the frequency response of the system: h[n]e-inw (ii) say whether H(e) as a function of w is even or odd or neither (iii) and sketch/plot the magnitude of the frequency response, i.e., H(ew)|, over -27 < w 2π (you may use Matlab). (a) (b) In each figure, the value indicated for each impulse means the amplitude of that impulse. For example, if the value of an impulse at n = 3 is indicated to be 2j, it means 2jd[n – 3]. The value of h[n] is zero for all n outside the range shown in the figure. h[n] (c) H(ejw) = h[n] 1 1 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 h[n] -6 -5 -4 -3 -2 -1 0 1 -6-5-4-3-2-1 0 1 n=-∞ 1 1 1 1 1 2 3 4 5 6 2 3 4 5 6 n n h[n] is real-valued. h[n] is real-valued. h[n] is real-valued.
Please give proper Circuit. Design a circuit with the following components; you can take any values. Vin is the input voltage. Vout is the output voltage. Rf and Cf are the feedback resistor and capacitor, respectively. R₁ and C; are the input resistor and capacitor, respectively.
For the electric circuit given in the figure;a) Obtain the transfer function between V2(s) and V1(s).b) Calculate the gain value and time constant of the system in steady state as C=2MicroFarad, R1=R2=1Mohm.c) According to the values given in option B, obtain the expression to be obtained at the output for the unit step input by using the residual sum method.
Kindly give proper Circuit
2 pls keep it simple and write it clearly
x(n) hi(n)-0.5u(п) w(n) h2(n)=2"u(n) y(n)
Paragraph Styles 51110 - 10 (s-1) a. The continuous plant GS) K. Here, the plant is coupled with sample and hold devices. Moreover, information of the output y is sent to the input r via a communication network, which is shared by other users and thus results in a delay of T seconds in the feedback process. The block-diagram for the control %3D s +5 is controlled by adjusting a gain system is shown below y (t y, (KT) K. ZO G(s) Xetwork Delay y (t-T) Assuming that the sampling period is T= 0.1 s, answer the following questions. Here, the ZOH equivalent of Gs) is given as Gzoh (z) = (1– z-1) Z{{-10-1) -ioz+10.79 %3D s(s+5) z-0.6065 G for = b.Use the Jerry's stability criterion to determine the range of K (for both positive and negative values) for which the closed- loop system is stable. TECNO POP
Frequency stability refers to an oscillator's ability to maintain a constant frequency and is critical in communications systems. The word "short-term" or "long-term" is frequently used to describe frequency stability. Short-term stability is primarily influenced by dc operating voltage variations, but long-term stability is influenced by component aging as well as changes in ambient temperature and humidity. Which of the statements below is TRUE? Select your answer. Because RC phase shift oscillators are subject to both short- and long-term fluctuations, frequency stability in LC tank-circuit and RC phase shift oscillators is inadequate for most radio communications applications. Because RC phase shift oscillators are prone to short-term changes, frequency stability in LC tank-circuit and RC phase shift oscillators is inadequate for most radio communications applications. Because RC phase shift oscillators are sensitive to long-term fluctuations, frequency stability in LC tank-circuit…
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Circuit needed for this