ee223 microwave circuits fall2014 lecture1

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    EE-223 Microwave Circuits

    (Fall 2014)

    Lecture 1

    Dr. Atif Shamim

    EE Program

    King Abdullah University of Science andTechnology (KAUST)

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    Course Description

    Brief Summary

    The course objective is to understand and predict how an electric circuit behaves when its

    physical size is the same order of magnitude as the wavelength of excitation. The course

    helps understand how electromagnetic waves in the microwave regime can be guided through

    well-defined modes and how coupling, matching and filtering operations are key to efficient

    microwave systems. Theory and design of key microwave components (passives and active)will be studied. Theory and design of key microwave components (passives and active) will be

    studied. Probable topics are given below.

    1. Transmission lines Theory and Design (Microstrip line, Coplanar waveguide)

    2. Smith Chart and Impedance Matching (Quarter-wave Transformers)

    3. Waveguides (Rectangular Waveguide, TE and TM modes)4. Microwave Networks (S-parameters)

    5. Microwave System Level Fundamentals (Noise Figure, Dynamic Range)

    6. Microwave Amplifier Design (Active Components, Low Noise and Power Amplifier)

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    Course Details

    Texts:

    D. M. Pozar, Microwave Engineering, 3rdEdition

    Course Slides/Additional Handouts

    Reference Books: -Steer, Microwave and RF Design (A Systems Approach)

    Wentworth, Fundamentals of Electromagnetics with Engineering Applications

    Grading:

    Assignments (3) 5% each and total of 15% (Mostly numerical and design

    questions)

    Midterm Exam 20% (short answers and numerical questions) (Date: To Be

    Announced)

    Design Project 30% (Simulations)or Individual Research Paper (in class

    presentation)

    Final Exam 35% (short answers and numerical questions)

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    Wireless is all around us!

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    Ever thought whats inside. . .?

    World population ~ 7 Billion

    Mobile subscriptions ~ 6 Billion

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    Whats inside. . .?

    A PCB with ICs, discretes..

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    Building materials of cell-phones

    Package

    Discretecomponents

    IC or chip

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    RF TRX Package Discrete components

    IC

    Package

    Bondwires, bondpads, ESD

    Devices

    Active: MOS & Bipolar Passive: R, C, L, diode,

    transformer,

    Transmission lines

    Substrate

    Building Blocks of cell-phones

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    Microwave Engineering

    What is microwaves?

    The term microwaves refers

    to alternating current

    signals with frequencies

    between 300MHz and

    300GHz, with a

    corresponding electrical

    wavelength between 1m

    and 1mm, respectively.

    Signals with wavelengths on

    the order of millimeters are

    called millimeter waves.

    Figure shows the location of

    microwave frequency band

    in the electromagnetic

    spectrum.

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    Why Microwaves Treated as a Special

    Subject?

    Because of the high frequencies and short wavelengths,standard circuit theory, generally, cannot be used

    The lumped circuit element approximation of circuittheory are not valid at microwave frequencies

    Microwave components are often distributed elements,where the phase of a voltage, or current changessignificantly over the physical extent of the device,because the device dimensions are on the order ofmicrowave wavelengths

    At much lower frequencies, the wavelength is largeenough that there is insignificant phase variation acrossthe dimension of a component

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    Advantages

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    Typical Transceiver Block Diagram

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    On the Tx, the back-end digital signal is used to modulate the carrier in the

    IF stage.

    A mixer converts the modulated signal and IF carrier up to the desired RF

    frequency.A frequency synthesizer provides the other mixer input.

    Since the RF carrier and associated modulated data may have to be

    transmitted over large distances through lossy media (e.g., air, cable, and

    fiber), a power amplifier (PA) must be used to increase the signal power.

    Typically, the power level is increased from the milliwatt range to a level in

    the range of hundreds of milliwatts to watts, depending on the particular

    application.

    A lowpass filter after the PA removes any harmonics produced by the PA to

    prevent them from also being transmitted.

    Transmitter

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    Transmit side (Tx) and receive side (Rx) are connected to the antenna through duplexer.

    The input pre-selection filter removes the signals not in the band of interest.

    The LNA amplifies the input signal without adding much noise.

    The image filter removes out-of-band signals and noise before the mixer.

    The mixer translates the input RF signal down to the intermediate frequency, sincefiltering, as well as circuit design, becomes much easier at lower frequencies.

    The other input to the mixer is the local oscillator (LO) signal provided by a voltage-

    controlled oscillator inside a frequency synthesizer. The desired output of the mixer will be

    the difference between the LO frequency and the RF frequency.

    The IF stage then provides channel filtering at this one frequency to remove the

    unwanted channels. The IF stage provides further amplification and automatic gain control(AGC) to bring the signal to a specific amplitude level before the signal is passed on to the

    back end of the receiver.

    It will ultimately be converted into bits (most modern communications systems use

    digital modulation schemes) that could represent, for example, voice, video, or data

    through the use of an analog-to-digital converter.

    Receiver

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    Impedance Concept

    Electrical impedance, or simply impedance, describes a measure of opposition to

    alternating current (AC). Electrical impedance extends the concept of resistance to AC

    circuits, describing not only the relative amplitudes of the voltage and current, but also

    the relative phases. When the circuit is driven with direct current (DC), there is no

    distinction between impedance and resistance; the latter can be thought of as impedance

    with zero phase angle.The symbol for impedance is usually |Z|

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    Conversion from Rectangular to Polar

    Z = R2 + X2

    = arctan X

    R

    R = Z cos

    X= Z sin

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    Characteristic Impedance?

    The characteristic impedance of a uniform transmission line,

    usually written Z0, is the ratio of the amplitudes of a single pair of

    voltage and current waves propagating along the line in the absence

    of reflections. The SI unit of characteristic impedance is the ohm

    (). The characteristic impedance of a lossless transmission line is

    purely real, that is, there is no imaginary component (Z0= | Z0| +

    j0). Characteristic impedance appears like a resistance in this case,

    such that power generated by a source on one end of an infinitely

    long lossless transmission line is transmitted through the line but isnot dissipated in the line itself. A transmission line of finite length

    (lossless or lossy) that is terminated at one end with a resistor equal

    to the characteristic impedance (ZL= Z0) appears to the source like

    an infinitely long transmission line.

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    Why 50 Impedance?

    The standardization of fifty ohm impedance goes back to developing coax cables

    for kilowatt radio transmitters in the 1930s. A good explanation for the choice of

    fifty ohms is given in Microwave Tubes, by A. S. Gilmour, Jr. The quick answer is

    that 50 ohms is a great compromise between power handling and low loss, for

    air-dielectric coax.

    The 50-Ohm compromise

    The arithmetic mean between 30 ohms (best power handling) and 77 ohms

    (lowest loss) is 53.5, the geometric mean is 48 ohms. Thus the choice of 50 ohmsis a compromise between power handling capability and signal loss per unit

    length, for air dielectric.