Given the frequency response 6 + 2e-jo 1- 3e-jo + 4e-j2w H (@) = , find the corresponding difference equation. y [n] = 3y [n - 1] - 4y [n - 21 + 6x [n] + 2x [n – 1] y[n] = 3y[n – 1] + 4y [n - 2] + 6x [n] – 2x [n – 1] y [n] = 3y [n – 1] – 4y [n – 2] – 6x [n] + 2x [n – 1] - y[n] = 3y [n - 1] + 4y [n - 21 - 6x [n] + 2x [n – 1]

Given the frequency response 6 + 2e-jo 1- 3e-jo + 4e-j2w H (@) = , find the corresponding difference equation. y [n] = 3y [n - 1] - 4y [n - 21 + 6x [n] + 2x [n – 1] y[n] = 3y[n – 1] + 4y [n - 2] + 6x [n] – 2x [n – 1] y [n] = 3y [n – 1] – 4y [n – 2] – 6x [n] + 2x [n – 1] - y[n] = 3y [n - 1] + 4y [n - 21 - 6x [n] + 2x [n – 1]

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...

See similar textbooks

Similar questions

Consider the series resonant circuit shown in Figure P6.72, with L=20 μH, R=14.14 Ω, and C=1000 pF..Compute the resonant frequency, the bandwidth, and the half-power frequencies. Assuming that the frequency of the source is the same as the resonant frequency, find the phasor voltages across the elements and sketch a phasor diagram.
In the circuit in the figure, Rs = 3.8 kohm, R₁ = 82 kohm, R₂ = 22 Kohm, Rc = 5.6 Kohm, RE = 1.5 k and R₁ = 3.3 k and B = 150. Since the capacitances are C1 = 0.5 µF and C2 = 0.8 µF, what is the low cutoff frequency of the given circuit? NOTE-1: In the middle band frequency, B = 150 will be taken and frequency dependence of B will not be taken into account. NOTE-2: The output impedance of the transistor will be neglected in ro calculations.
For the Circuit given, draw the frequency response. That is, determine the lower and upper cut-off frequencies (B = 150, Cwi = 5pF, Cwo = 8pF, Cbc =12 pF, Cbe = 40pF, Cce=8pF)
1. Why must the algebraic sum of the quadrature components in a parallel circuit be zero at resonance? 2. For the given values of L and C when will a two-branch parallel circuit be in resonance at the same frequency as a series R-L-C circuit?
For the circuit below: (a) What is the amplitude, frequency and phase of vs(t) represent vs(t) in phasor form. (b) Find XL,XCand total impedance Z of the circuit and find i(t) flowing the circuit (c) Explain whether the circuit is Capacitive or Inductive and what is the frequency at which the circuit will be at resonance?
The components rB/A will change direction and therefore the time derivative of these components will only have to account for the change in thei magnitudes. True or False?
Given the following ultimate class frequencies, find the frequencies of positive class. ЛАВС) -149, (АBу)-738, (АВС)- 225, (ABy) - 1196 (aBC) = 204, (aBy)= 1762, (aßC)= 171, (aßy)=21842 о II
Graph av(vo/vi) and Theta against frequency
3. A series circuit consists of a 30-ohm resistor. a 0.104-henrv inductor, and a 40-microFarad capacitor. If a vanable frequencv I2U-volt source is connected across its terminals, (a) calculate the resonant frequency. fOr the condition of resonance, determine (b) the circuit current and power; (C) the voltage drops across the resistor, the inductor, and the capacitor Prepared bv ENGR. JEFFSON S. BALDEMECA
Given the sequence of x[n] = {-1, 2, -1} where the underlined number corresponds to when the sequence is n=0, what is the correct spectrum of sequence of x[n]?
A hollow pipe (such as an organ pipe open at both ends) is made to go into resonance at frequency f open. One end of the pipe is now covered and the pipe is again made to go into resonance, this time at frequency f closed. Both resonances are first harmonics. How do these two resonances compare? (a) They are the same. (b) f open = 2f closed (c) f closed = 2f open (d) f open = f closed (e) fclosed = 3/2 fopen
Compute the impedance Z of a series R-L-C circuit at angular frequencies ω = (a) 1001 rad/s Assume R = 201 Ω, L = 0.902 H and C = 2.01 μF. (b) What is the resonant angular frequency ωRES of the circuit? Assume the voltage source amplitude is Vm = 100.00 (V). (c) What is the current amplitude Im when the circuit is at the resonant angular frequency? (d) What is the current amplitude Im when the circuit is at 751 rad/s? (e) Should the answers to (c) and (d) be nearly equal? Explain.