ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance CHAPTER 6 Frequency
Response, Bode Plots, and Resonance 1.State the fundamental
concepts of Fourier analysis. 2. Determine the output of a filter
for a given input consisting of sinusoidal components using the
filters transfer function. Slide 2 ELECTRICA L ENGINEERING
Principles and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance 3. Use circuit analysis to determine the transfer
functions of simple circuits. 4. Draw first-order lowpass or
highpass filter circuits and sketch their transfer functions. 5.
Understand decibels, logarithmic frequency scales, and Bode plots.
Slide 3 ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance 6. Draw the Bode
plots for transfer functions of first-order filters. Slide 4
ELECTRICA L ENGINEERING Principles and Applications SECOND EDITION
ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency
Response, Bode Plots, and Resonance Slide 5 ELECTRICA L ENGINEERING
Principles and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Fourier Analysis All real-world signals are sums of
sinusoidal components having various frequencies, amplitudes, and
phases. Slide 6 ELECTRICA L ENGINEERING Principles and Applications
SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance Slide 7 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 8 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance
Filters Filters process the sinusoid components of an input signal
differently depending of the frequency of each component. Often,
the goal of the filter is to retain the components in certain
frequency ranges and to reject components in other ranges. Slide 9
ELECTRICA L ENGINEERING Principles and Applications SECOND EDITION
ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency
Response, Bode Plots, and Resonance Slide 10 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Transfer Functions The transfer function H(f )
of the two-port filter is defined to be the ratio of the phasor
output voltage to the phasor input voltage as a function of
frequency: Slide 11 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance The
magnitude of the transfer function shows how the amplitude of each
frequency component is affected by the filter. Similarly, the phase
of the transfer function shows how the phase of each frequency
component is affected by the filter. Slide 12 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 13 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Determining the output of a filter for an input with
multiple components: 1. Determine the frequency and phasor
representation for each input component. 2. Determine the (complex)
value of the transfer function for each component. Slide 14
ELECTRICA L ENGINEERING Principles and Applications SECOND EDITION
ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency
Response, Bode Plots, and Resonance 3. Obtain the phasor for each
output component by multiplying the phasor for each input component
by the corresponding transfer-function value. 4. Convert the
phasors for the output components into time functions of various
frequencies. Add these time functions to produce the output. Slide
15 ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance Linear circuits
behave as if they: 1.Separate the input signal into components
having various frequencies. 2. Alter the amplitude and phase of
each component depending on its frequency. 3. Add the altered
components to produce the output signal. Slide 16 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 17 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Slide 18 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance Slide
19 ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance Slide 20 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance FIRST-ORDER LOWPASS FILTERS Slide 21 ELECTRICA
L ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 22 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Slide 23 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance Slide
24 ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance Slide 25 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 26 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance DECIBELS, THE CASCADE CONNECTION, AND LOGARITHMIC
FREQUENCY SCALES Slide 27 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance Slide
28 ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance Slide 29 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 30 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Cascaded Two-Port Networks Slide 31 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 32 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Logarithmic Frequency Scales On a logarithmic scale, the
variable is multiplied by a given factor for equal increments of
length along the axis. Slide 33 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance A decade is a range of frequencies for which the ratio of
the highest frequency to the lowest is 10. An octave is a
two-to-one change in frequency. Slide 34 ELECTRICA L ENGINEERING
Principles and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Slide 35 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance BODE
PLOTS A Bode plot shows the magnitude of a network function in
decibels versus frequency using a logarithmic scale for frequency.
Slide 36 ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance Slide 37 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance 1.A horizontal line at zero for f < f B
/10. 2. A sloping line from zero phase at f B /10 to 90 at 10f B.
3. A horizontal line at 90 for f > 10f B. Slide 38 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 39 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Slide 40 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance Slide
41 ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance FIRST-ORDER HIGHPASS
FILTERS Slide 42 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance Slide
43 ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance Slide 44 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 45 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Slide 46 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance SERIES
RESONANCE Resonance is a phenomenon that can be observed in
mechanical systems and electrical circuits. Slide 47 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 48 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Slide 49 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance Slide
50 ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance Series Resonant
Circuit as a Bandpass Filter Slide 51 ELECTRICA L ENGINEERING
Principles and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Slide 52 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance Slide
53 ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance Slide 54 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 55 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Slide 56 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance
PARALLEL RESONANCE Slide 57 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance Slide
58 ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance Slide 59 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 60 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Ideal Filters Slide 61 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Slide 62 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance Slide
63 ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance Second-Order Lowpass
Filter Slide 64 ELECTRICA L ENGINEERING Principles and Applications
SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance Slide 65 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 66 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Slide 67 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance Slide
68 ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance Slide 69 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 70 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Slide 71 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance
DIGITAL SIGNAL PROCESSING Slide 72 ELECTRICA L ENGINEERING
Principles and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Slide 73 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance
Conversion of Signals from Analog to Digital Form If a signal
contains no components with frequencies higher than f H, the signal
can be exactly reconstructed from its samples, provided that the
sampling rate f s is selected to be more than twice f H. Slide 74
ELECTRICA L ENGINEERING Principles and Applications SECOND EDITION
ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency
Response, Bode Plots, and Resonance Slide 75 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 76 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Digital Lowpass Filter Slide 77 ELECTRICA L ENGINEERING
Principles and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance Slide 78 ELECTRICA L ENGINEERING Principles and
Applications SECOND EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall,
Inc. Chapter 6 Frequency Response, Bode Plots, and Resonance Slide
79 ELECTRICA L ENGINEERING Principles and Applications SECOND
EDITION ALLAN R. HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6
Frequency Response, Bode Plots, and Resonance Slide 80 ELECTRICA L
ENGINEERING Principles and Applications SECOND EDITION ALLAN R.
HAMBLEY 2002 Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode
Plots, and Resonance Slide 81 ELECTRICA L ENGINEERING Principles
and Applications SECOND EDITION ALLAN R. HAMBLEY 2002
Prentice-Hall, Inc. Chapter 6 Frequency Response, Bode Plots, and
Resonance
