9. time system: Consider the parallel form structure in the figure implementing a causal discrete- x[n] y[n] -0.5 2 1/3 z-1 a) Write the transfer function H(z) of the overall system in parallel form. b) Draw the signal flow graph of a single Direct Form 2 structure that implements the same H(z). Label the coefficients and draw arrows where appropriate.

9. time system: Consider the parallel form structure in the figure implementing a causal discrete- x[n] y[n] -0.5 2 1/3 z-1 a) Write the transfer function H(z) of the overall system in parallel form. b) Draw the signal flow graph of a single Direct Form 2 structure that implements the same H(z). Label the coefficients and draw arrows where appropriate.

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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For the system defined by the first-order differential equation: Draw the log magnitude (dB)-log frequency graph of H(jw). (The phase graph is not required. The frequency axis is expected to be logarithmic when drawing the log magnitude graph.) The input is assumed to be suppressed when the magnitude of H(jw) is -40dB. It is given that the x(t)=coswat signal is suppressed by this system. What is the smallest value of wa in this case?
List and discuss at least two factors that impact on the Nadir of the frequency response after loss of generation. Illustrate the impact of these factors in a frequency response plot (i.e., frequency versus time response).
(a) Design a low-pass amplifier (i.e., choose R1,R2, and C) to have a low-frequency input resistanceof 10 k ohm, a midband gain of 20 dB, and abandwidth of 20 kHz. (b) Choose element valuesfrom the table.
c. What is the expression for the bandwidth and the quality factor?
Tuned Circuit Design Using a VARICAP (a) Refer to the capacitance curves for the Motorola 1N4002 The input tuning circuit of a standard analog FM radio is given below. Specify, that is design for, a voltage, capacitance, and inductance required to tune the circuit to the center frequency of KUMD-FM which operates at 103.3 MHz. Sketching and labeling a representative resonance curve is required to support your calculations. There is no single correct design answer set of values since it depends upon the voltage you initially select to tune your diode.
What is the transfer function of a system, and how is it derived from a differential equation?
A robotic system with transfer function ?(?) =(100)/(s(0.1s+1)(0.1s +1)) is controlled with gain K as shown in the figure. A)To analyze the frequency response of this system, draw the Nyquist graph. B)Apply the Nyquist stability criterion. C)Verify the stability analysis you made in part (b) by plotting root locus plots for the positive and negative values of the K gain. D)Calculate the gain value that makes this system borderline stable and show it on Nyquist and Root locus graphs. E)Calculate the gain margin, phase margin, gain crossover frequency and phase crossover frequency values. F)Explain whether the system is stable over the gain margin and phase margin values. WE NEED TO SOLVE THE PROBLEM IMMEDIATELY. PLEASE HELP.
Perhaps surprisingly, we can apply the transfer-function concept to mechanical systems. Suppose we have a mass m moving through a liquid with an applied force f and velocity v. The motion of the mass is described by the first-order differential equationf=m dv dt +kv in which k is the coefficient of viscous friction. Find an expression for the transfer functionH( f )= V F Also, find the half-power frequency (defined as the frequency at which the transfer function magnitude is 1/2 times its dc value) in terms of k and m.
For the open-loop transfer function below, apply Nyquist Stability Theorem to the design controller. What should be the K range needed to stabilize this system? Show the relationship between Root Locus and Nyquist Plot.
Compute the transfer function of the given signal flow graph below:
a) Explain the drawing rules and formulas of the Nyquist curve. b) G(?)=K [(S−1)(S−2) / (S+2)(S+3)] ; Construct nyquist curves for K=1, 5/3, 9 values. Write down the Nyquist stability criterion and explain whether the system is stable or not. c) Define the gain and phase margin, this time on the nyquist curve.
A filter is provided with a cascaded differential amplifier. The midband gain and noise coefficient of the filter are given as −3 dB and 3 dB, respectively. According to this, b) Find the noise coefficient of the cascaded system