SECTION 1: The Importance of Interconnect Design


The speed of light is just too slow. Commonplace, modern, volume-manufactured digital  designs require control of timings down to the picosecond range. The amount of time it takes  light from your nose to reach your eye is about 100 picoseconds (in 100 ps, light travels  about 1.2 in.). This level of timing must not only be maintained at the silicon level, but also at  the physically much larger level of the system board, such as a computer motherboard. 
These systems operate at high frequencies at which conductors no longer behave as simple  wires, but instead exhibit high-frequency effects and behave as transmission lines that are  used to transmit or receive electrical signals to or from neighboring components. If these  transmission lines are not handled properly, they can unintentionally ruin system timing. 
Digital design has acquired the complexity of the analog world and more. However, it has not  always been this way. Digital technology is a remarkable story of technological evolution. It  is a continuing story of paradigm shifts, industrial revolution, and rapid change that is  unparalleled. Indeed, it is a common creed in marketing departments of technology  companies that "by the time a market survey tells you the public wants something, it is  already too late."  This rapid progress has created a roadblock to technological progress that this book will help  solve. The problem is that modern digital designs require knowledge that has formerly not  been needed. Because of this, many currently employed digital system designers do not  have the knowledge required for modern high-speed designs. This fact leads to a  surprisingly large amount of misinformation to propagate through engineering circles. Often,  the concepts of high-speed design are perceived with a sort of mysticism. However, this  problem has not come about because the required knowledge is unapproachable. In fact,  many of the same concepts have been used for several decades in other disciplines of  electrical engineering, such as radio-frequency design and microwave design. The problem  is that most references on the necessary subjects are either too abstract to be immediately  applicable to the digital designer, or they are too practical in nature to contain enough theory  to fully understand the subject. This book will focus directly on the area of digital design and  will explain the necessary concepts to understand and solve contemporary and future  problems in a manner directly applicable by practicing engineers and/or students. It is worth  noting that everything in this book has been applied to a successful modern design. 

 As the reader undoubtedly knows, the basic idea in digital design is to communicate  information with signals representing 1s or 0s. Typically this involves sending and receiving  a series of trapezoidal shaped voltage signals such as shown in Figure 1.1 in which a high  voltage is a 1 and a low voltage is a 0. The conductive paths carrying the digital signals are  known as interconnects. The interconnect includes the entire electrical pathway from the  chip sending a signal to the chip receiving the signal. This includes the chip packages,  connectors, sockets, as well as a myriad of additional structures. A group of interconnects is  referred to as a bus. The region of voltage where a digital receiver distinguishes between a  high and a low voltage is known as the threshold region. Within this region, the receiver will  either switch high or switch low. On the silicon, the actual switching voltages vary with  temperature, supply voltage, silicon process, and other variables. From the system  designers point of view, there are usually high-and low-voltage thresholds, known as Vih and  Vil, associated with the receiving silicon, above which and below which a high or low value  can be guaranteed to be received under all conditions. Thus the designer must guarantee  that the system can, under all conditions, deliver high voltages that do not, even briefly, fall  below Vih, and low voltages that remain below Vil, in order to ensure the integrity of the data. 
  Figure 1.1: Digital waveform.  
 In order to maximize the speed of operation of a digital system, the timing uncertainty of a  transition through the threshold region must be minimized. This means that the rise or fall  time of the digital signal must be as fast as possible. Ideally, an infinitely fast edge rate  would be used, although there are many practical problems that prevent this. Realistically,  edge rates of a few hundred picoseconds can be encountered. The reader can verify with  Fourier analysis that the quicker the edge rate, the higher the frequencies that will be found  in the spectrum of the signal. Herein lies a clue to the difficulty. Every conductor has a  capacitance, inductance, and frequency-dependent resistance. At a high enough frequency,  none of these things is negligible. Thus a wire is no longer a wire but a distributed parasitic  element that will have delay and a transient impedance profile that can cause distortions and  glitches to manifest themselves on the waveform propagating from the driving chip to the  receiving chip. The wire is now an element that is coupled to everything around it, including  power and ground structures and other traces. The signal is not contained entirely in the  conductor itself but is a combination of all the local electric and magnetic fields around the  conductor. The signals on one interconnect will affect and be affected by the signals on  another. Furthermore, at high frequencies, complex interactions occur between the different  parts of the same interconnect, such as the packages, connectors, vias, and bends. All  these high-speed effects tend to produce strange, distorted waveforms that will indeed give  the designer a completely different view of high-speed logic signals. The physical and  electrical attributes of every structure in the vicinity of the interconnect has a vital role in the  simple task of guaranteeing proper signaling transitions through Vih and Vil with the  appropriate timings. These things also determine how much energy the system will radiate into space, which will lead to determining whether the system complies with governmental  emission requirements. We will see in later chapters how to account for all these things. 
When a conductor must be considered as a distributed series of inductors and capacitors, it  is known as a transmission line. In general, this must be done when the physical size of the  circuit under consideration approaches the wavelength of the highest frequency of interest in  the signal. In the digital realm, since edge rate pretty much determines the maximum  frequency content, one can compare rise and fall times to the size of the circuit instead, as  shown in Figure 1.2. On a typical circuit board, a signal travels about half the speed of light  (exact formulas will be in later chapters). Thus a 500 ps edge rate occupies about 3 in. in  length on a circuit trace. Generally, any circuit length at least 1/10th of the edge rate must be  considered as a transmission line. 
Fig 1.2: Rise time and circuit length.  
 One of the most difficult aspects of high-speed design is the fact that there are a large  number codependent variables that affect the outcome of a digital design. Some of the  variables are controllable and some force the designer to live with the random variation. One  of the difficulties in high-speed design is how to handle the many variables, whether they are  controllable or uncontrollable. Often simplifications can be made by neglecting or assuming  values for variables, but this can lead to unknown failures down the road that will be  impossible to "root cause" after the fact. As timing becomes more constrained, the  simplifications of the past are rapidly dwindling in utility to the modern designer. This book  will also show how to incorporate a large number of variables that would otherwise make the  problem intractable. Without a methodology for handling the large amount of variables, a  design ultimately resorts to guesswork no matter how much the designer physically  understands the system. The final step of handling all the variables is often the most difficult  part and the one most readily ignored by a designer. A designer crippled by an inability to  handle large amounts of variables will ultimately resort to proving a few "point solutions"  instead and hope that they plausibly represent all known conditions. While sometimes such  methods are unavoidable, this can be a dangerous guessing game. Of course, a certain  amount of guesswork is always present in a design, but the goal of the system designer  should be to minimize uncertainty. 

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CHAPTER  1  The Breadth and Depth of DSP  Digital Signal Processing is one of the most powerful technologies that will shape science and  engineering in the twenty-first century. Revolutionary changes have already been made in a broad  range of fields: communications, medical imaging, radar & sonar, high fidelity music  reproduction, and oil prospecting, to name just a few. Each of these areas has developed a deep  DSP technology, with its own algorithms, mathematics, and specialized techniques. This  combination of breath and depth makes it impossible for any one individual to master all of the  DSP technology that has been developed. DSP education involves two tasks: learning general  concepts that apply to the field as a whole, and learning specialized techniques for your particular  area of interest. This chapter starts our journey into the world of Digital Signal Processing by  describing the dramatic effect that DSP has made in several diverse fields. The revolution has  begun. 
The Roots of DSP  Digital Signal Processing is distinguished from other areas in computer science  by the unique type of data it uses: signals. In most cases, these signals  originate as sensory data from the real world: seismic vibrations, visual images,  sound waves, etc. DSP is the mathematics, the algorithms, and the techniques  used to manipulate these signals after they have been converted into a digital  form. This includes a wide variety of goals, such as: enhancement of visual  images, recognition and generation of speech, compression of data for storage  and transmission, etc. Suppose we attach an analog-to-digital converter to a  computer and use it to acquire a chunk of real world data. DSP answers the  question: What next!  The roots of DSP are in the 1960s and 1970s when digital computers first  became available. Computers were expensive during this era, and DSP was  limited to only a few critical applications. Pioneering efforts were made in four  key areas: radar & sonar, where national security was at risk; oil exploration,  where large amounts of money could be made; space exploration, where the  1  The Scientist and Engineer's Guide to Digital Signal Processing  data are irreplaceable; and medical imaging, where lives could be saved. 
The personal computer revolution of the 1980s and 1990s caused DSP to  explode with new applications. Rather than being motivated by military and  government needs, DSP was suddenly driven by the commercial marketplace. 
Anyone who thought they could make money in the rapidly expanding field was  suddenly a DSP vendor. DSP reached the public in such products as: mobile  telephones, compact disc players, and electronic voice mail. Figure 1-1  illustrates a few of these varied applications. 
This technological revolution occurred from the top-down. In the early  1980s, DSP was taught as a graduate level course in electrical engineering. 
A decade later, DSP had become a standard part of the undergraduate  curriculum. Today, DSP is a basic skill needed by scientists and engineers  DSP-  Space  Medical  Commercial  Telephone  Military  Industrial  Scientific 
-Space photograph enhancement 
-Data compression 
-Intelligent sensory analysis by  remote space probes 
-Diagnostic imaging (CT, MRI,  ultrasound, and others) 
-Electrocardiogram analysis 
-Medical image storage/retrieval 
-Image and sound compression  for multimedia presentation 
-Movie special effects 
-Video conference calling 
-Voice and data compression 
-Echo reduction 
-Signal multiplexing 
-Ordnance guidance 
-Secure communication 
-Oil and mineral prospecting 
-Process monitoring & control 
-Nondestructive testing 
-CAD and design tools 
-Earthquake recording & analysis 
-Data acquisition 
-Spectral analysis 
-Simulation and modeling  FIGURE 1-1  DSP has revolutionized many areas in science and engineering. A  few of these diverse applications are shown here. 
Chapter 1- The Breadth and Depth of DSP  3  in many fields. As an analogy, DSP can be compared to a previous  technological revolution: electronics. While still the realm of electrical  engineering, nearly every scientist and engineer has some background in basic  circuit design. Without it, they would be lost in the technological world. DSP  has the same future. 
This recent history is more than a curiosity; it has a tremendous impact on your  ability to learn and use DSP. Suppose you encounter a DSP problem, and turn  to textbooks or other publications to find a solution. What you will typically  find is page after page of equations, obscure mathematical symbols, and  unfamiliar terminology. It's a nightmare! Much of the DSP literature is  baffling even to those experienced in the field. It's not that there is anything  wrong with this material, it is just intended for a very specialized audience. 
State-of-the-art researchers need this kind of detailed mathematics to  understand the theoretical implications of the work. 
A basic premise of this book is that most practical DSP techniques can be  learned and used without the traditional barriers of detailed mathematics and  theory. The Scientist and Engineer's Guide to Digital Signal Processing is  written for those who want to use DSP as a tool, not a new career. 
The remainder of this chapter illustrates areas where DSP has produced  revolutionary changes. As you go through each application, notice that DSP  is very interdisciplinary, relying on the technical work in many adjacent  fields. As Fig. 1-2 suggests, the borders between DSP and other technical  disciplines are not sharp and well defined, but rather fuzzy and overlapping. 
If you want to specialize in DSP, these are the allied areas you will also  need to study. 
Digital  Signal  Processing  FIGURE 1-2  Digital Signal Processing has fuzzy and overlapping borders with many other  areas of science, engineering and mathematics. 
4 The Scientist and Engineer's Guide to Digital Signal Processing  Telecommunications  Telecommunications is about transferring information from one location to  another. This includes many forms of information: telephone conversations,  television signals, computer files, and other types of data. To transfer the  information, you need a channel between the two locations. This may be  a wire pair, radio signal, optical fiber, etc. Telecommunications companies  receive payment for transferring their customer's information, while they  must pay to establish and maintain the channel. The financial bottom line  is simple: the more information they can pass through a single channel, the  more money they make. DSP has revolutionized the telecommunications  industry in many areas: signaling tone generation and detection, frequency  band shifting, filtering to remove power line hum, etc. Three specific  examples from the telephone network will be discussed here: multiplexing,  compression, and echo control. 
Multiplexing  There are approximately one billion telephones in the world. At the press of  a few buttons, switching networks allow any one of these to be connected to  any other in only a few seconds. The immensity of this task is mind boggling!  Until the 1960s, a connection between two telephones required passing the  analog voice signals through mechanical switches and amplifiers. One  connection required one pair of wires. In comparison, DSP converts audio  signals into a stream of serial digital data. Since bits can be easily  intertwined and later separated, many telephone conversations can be  transmitted on a single channel. For example, a telephone standard known  as the T-carrier system can simultaneously transmit 24 voice signals. Each  voice signal is sampled 8000 times per second using an 8 bit companded  (logarithmic compressed) analog-to-digital conversion. This results in each  voice signal being represented as 64,000 bits/sec, and all 24 channels being  contained in 1.544 megabits/sec. This signal can be transmitted about 6000  feet using ordinary telephone lines of 22 gauge copper wire, a typical  interconnection distance. The financial advantage of digital transmission  is enormous. Wire and analog switches are expensive; digital logic gates  are cheap. 
Compression  When a voice signal is digitized at 8000 samples/sec, most of the digital  information is redundant. That is, the information carried by any one  sample is largely duplicated by the neighboring samples. Dozens of DSP  algorithms have been developed to convert digitized voice signals into data  streams that require fewer bits/sec. These are called data compression  algorithms. Matching uncompression algorithms are used to restore the  signal to its original form. These algorithms vary in the amount of  compression achieved and the resulting sound quality. In general, reducing the  data rate from 64 kilobits/sec to 32 kilobits/sec results in no loss of sound  quality. When compressed to a data rate of 8 kilobits/sec, the sound is  noticeably affected, but still usable for long distance telephone networks. 
The highest achievable compression is about 2 kilobits/sec, resulting in  Chapter 1- The Breadth and Depth of DSP 5  sound that is highly distorted, but usable for some applications such as military  and undersea communications. 
Echo control  Echoes are a serious problem in long distance telephone connections. 
When you speak into a telephone, a signal representing your voice travels  to the connecting receiver, where a portion of it returns as an echo. If the  connection is within a few hundred miles, the elapsed time for receiving the  echo is only a few milliseconds. The human ear is accustomed to hearing  echoes with these small time delays, and the connection sounds quite  normal. As the distance becomes larger, the echo becomes increasingly  noticeable and irritating. The delay can be several hundred milliseconds  for intercontinental communications, and is particularly objectionable. 
Digital Signal Processing attacks this type of problem by measuring the  returned signal and generating an appropriate antisignal to cancel the  offending echo. This same technique allows speakerphone users to hear  and speak at the same time without fighting audio feedback (squealing).  It can also be used to reduce environmental noise by canceling it with  digitally generated antinoise. 
Audio Processing  The two principal human senses are vision and hearing. Correspondingly,  much of DSP is related to image and audio processing. People listen to  both music and speech. DSP has made revolutionary changes in both  these areas. 
Music  The path leading from the musician's microphone to the audiophile's speaker is  remarkably long. Digital data representation is important to prevent the  degradation commonly associated with analog storage and manipulation. This  is very familiar to anyone who has compared the musical quality of cassette  tapes with compact disks. In a typical scenario, a musical piece is recorded in  a sound studio on multiple channels or tracks. In some cases, this even involves  recording individual instruments and singers separately. This is done to give  the sound engineer greater flexibility in creating the final product. The  complex process of combining the individual tracks into a final product is  called mix down. DSP can provide several important functions during mix  down, including: filtering, signal addition and subtraction, signal editing, etc. 
One of the most interesting DSP applications in music preparation is  artificial reverberation. If the individual channels are simply added together,  the resulting piece sounds frail and diluted, much as if the musicians were  playing outdoors. This is because listeners are greatly influenced by the echo  or reverberation content of the music, which is usually minimized in the sound  studio. DSP allows artificial echoes and reverberation to be added during  mix down to simulate various ideal listening environments. Echoes with  delays of a few hundred milliseconds give the impression of cathedral like  6 The Scientist and Engineer's Guide to Digital Signal Processing  locations. Adding echoes with delays of 10-20 milliseconds provide the  perception of more modest size listening rooms. 
Speech generation  Speech generation and recognition are used to communicate between humans  and machines. Rather than using your hands and eyes, you use your mouth and  ears. This is very convenient when your hands and eyes should be doing  something else, such as: driving a car, performing surgery, or (unfortunately) 
firing your weapons at the enemy. Two approaches are used for computer  generated speech: digital recording and vocal tract simulation. In digital  recording, the voice of a human speaker is digitized and stored, usually in a  compressed form. During playback, the stored data are uncompressed and  converted back into an analog signal. An entire hour of recorded speech  requires only about three megabytes of storage, well within the capabilities of  even small computer systems. This is the most common method of digital  speech generation used today. 
Vocal tract simulators are more complicated, trying to mimic the physical  mechanisms by which humans create speech. The human vocal tract is an  acoustic cavity with resonant frequencies determined by the size and shape of  the chambers. Sound originates in the vocal tract in one of two basic ways,  called voiced and fricative sounds. With voiced sounds, vocal cord vibration  produces near periodic pulses of air into the vocal cavities. In comparison,  fricative sounds originate from the noisy air turbulence at narrow constrictions,  such as the teeth and lips. Vocal tract simulators operate by generating digital  signals that resemble these two types of excitation. The characteristics of the  resonate chamber are simulated by passing the excitation signal through a  digital filter with similar resonances. This approach was used in one of the  very early DSP success stories, the Speak & Spell, a widely sold electronic  learning aid for children. 
Speech recognition  The automated recognition of human speech is immensely more difficult  than speech generation. Speech recognition is a classic example of things  that the human brain does well, but digital computers do poorly. Digital  computers can store and recall vast amounts of data, perform mathematical  calculations at blazing speeds, and do repetitive tasks without becoming  bored or inefficient. Unfortunately, present day computers perform very  poorly when faced with raw sensory data. Teaching a computer to send you  a monthly electric bill is easy. Teaching the same computer to understand  your voice is a major undertaking. 
Digital Signal Processing generally approaches the problem of voice  recognition in two steps: feature extraction followed by feature matching. 
Each word in the incoming audio signal is isolated and then analyzed to  identify the type of excitation and resonate frequencies. These parameters are  then compared with previous examples of spoken words to identify the closest  match. Often, these systems are limited to only a few hundred words; can  only accept speech with distinct pauses between words; and must be retrained  for each individual speaker. While this is adequate for many commercial  Chapter 1- The Breadth and Depth of DSP  1  applications, these limitations are humbling when compared to the abilities of  human hearing. There is a great deal of work to be done in this area, with  tremendous financial rewards for those that produce successful commercial  products. 
Echo Location  A common method of obtaining information about a remote object is to bounce  a wave off of it. For example, radar operates by transmitting pulses of radio  waves, and examining the received signal for echoes from aircraft. In sonar,  sound waves are transmitted through the water to detect submarines and other  submerged objects. Geophysicists have long probed the earth by setting off  explosions and listening for the echoes from deeply buried layers of rock. 
While these applications have a common thread, each has its own specific  problems and needs. Digital Signal Processing has produced revolutionary  changes in all three areas. 
Radar  Radar is an acronym for RAdio Detection And Ranging. In the simplest  radar system, a radio transmitter produces a pulse of radio frequency  energy a few microseconds long. This pulse is fed into a highly directional  antenna, where the resulting radio wave propagates away at the speed of  light. Aircraft in the path of this wave will reflect a small portion of the  energy back toward a receiving antenna, situated near the transmission site. 
The distance to the object is calculated from the elapsed time between the  transmitted pulse and the received echo. The direction to the object is  found more simply; you know where you pointed the directional antenna  when the echo was received. 
The operating range of a radar system is determined by two parameters: how  much energy is in the initial pulse, and the noise level of the radio receiver. 
Unfortunately, increasing the energy in the pulse usually requires making the  pulse longer. In turn, the longer pulse reduces the accuracy and precision of  the elapsed time measurement. This results in a conflict between two important  parameters: the ability to detect objects at long range, and the ability to  accurately determine an object's distance. 
DSP has revolutionized radar in three areas, all of which relate to this basic  problem. First, DSP can compress the pulse after it is received, providing  better distance determination without reducing the operating range. Second,  DSP can filter the received signal to decrease the noise. This increases the  range, without degrading the distance determination. Third, DSP enables the  rapid selection and generation of different pulse shapes and lengths. Among  other things, this allows the pulse to be optimized for a particular detection  problem. Now the impressive part: much of this is done at a sampling rate  comparable to the radio frequency used, as high as several hundred megahertz!  When it comes to radar, DSP is as much about high-speed hardware design as  it is about algorithms. 
8 The Scientist and Engineer's Guide to Digital Signal Processing  Sonar  Sonar is an acronym for SOund NAvigation and Ranging. It is divided into  two categories, active and passive. In active sonar, sound pulses between  2 kHz and 40 kHz are transmitted into the water, and the resulting echoes  detected and analyzed. Uses of active sonar include: detection &  localization of undersea bodies, navigation, communication, and mapping  the sea floor. A maximum operating range of 10 to 100 kilometers is  typical. In comparison, passive sonar simply listens to underwater sounds,  which includes: natural turbulence, marine life, and mechanical sounds from  submarines and surface vessels. Since passive sonar emits no energy, it is  ideal for covert operations. You want to detect the other guy, without him  detecting you. The most important application of passive sonar is in  military surveillance systems that detect and track submarines. Passive  sonar typically uses lower frequencies than active sonar because they  propagate through the water with less absorption. Detection ranges can be  thousands of kilometers. 
DSP has revolutionized sonar in many of the same areas as radar: pulse  generation, pulse compression, and filtering of detected signals. In one  view, sonar is simpler than radar because of the lower frequencies involved. 
In another view, sonar is more difficult than radar because the environment  is much less uniform and stable. Sonar systems usually employ extensive  arrays of transmitting and receiving elements, rather than just a single  channel. By properly controlling and mixing the signals in these many  elements, the sonar system can steer the emitted pulse to the desired  location and determine the direction that echoes are received from. To  handle these multiple channels, sonar systems require the same massive  DSP computing power as radar. 
Reflection seismology  As early as the 1920s, geophysicists discovered that the structure of the earth's  crust could be probed with sound. Prospectors could set off an explosion and  record the echoes from boundary layers more than ten kilometers below the  surface. These echo seismograms were interpreted by the raw eye to map the  subsurface structure. The reflection seismic method rapidly became the  primary method for locating petroleum and mineral deposits, and remains so  today. 
In the ideal case, a sound pulse sent into the ground produces a single echo for  each boundary layer the pulse passes through. Unfortunately, the situation is  not usually this simple. Each echo returning to the surface must pass through  all the other boundary layers above where it originated. This can result in the  echo bouncing between layers, giving rise to echoes of echoes being detected  at the surface. These secondary echoes can make the detected signal very  complicated and difficult to interpret. Digital Signal Processing has been  widely used since the 1960s to isolate the primary from the secondary echoes  in reflection seismograms. How did the early geophysicists manage without  DSP? The answer is simple: they looked in easy places, where multiple  reflections were minimized. DSP allows oil to be found in difficult locations,  such as under the ocean. 
Chapter 1- The Breadth and Depth of DSP  9  Image Processing  Images are signals with special characteristics. First, they are a measure of a  parameter over space (distance), while most signals are a measure of a  parameter over time. Second, they contain a great deal of information. For  example, more than 10 megabytes can be required to store one second of  television video. This is more than a thousand times greater than for a similar  length voice signal. Third, the final judge of quality is often a subjective  human evaluation, rather than an objective criterion. These special  characteristics have made image processing a distinct subgroup within DSP.  Medical  In 1895, Wilhelm Conrad Rontgen discovered that x-rays could pass through  substantial amounts of matter. Medicine was revolutionized by the ability to  look inside the living human body. Medical x-ray systems spread throughout  the world in only a few years. In spite of its obvious success, medical x-ray  imaging was limited by four problems until DSP and related techniques came  along in the 1970s. First, overlapping structures in the body can hide behind  each other. For example, portions of the heart might not be visible behind the  ribs. Second, it is not always possible to distinguish between similar tissues. 
For example, it may be able to separate bone from soft tissue, but not  distinguish a tumor from the liver. Third, x-ray images show anatomy, the  body's structure, and not physiology, the body's operation. The x-ray image of  a living person looks exactly like the x-ray image of a dead one! Fourth, x-ray  exposure can cause cancer, requiring it to be used sparingly and only with  proper justification. 
The problem of overlapping structures was solved in 1971 with the introduction  of the first computed tomography scanner (formerly called computed axial  tomography, or CAT scanner). Computed tomography (CT) is a classic  example of Digital Signal Processing. X-rays from many directions are passed  through the section of the patient's body being examined. Instead of simply  forming images with the detected x-rays, the signals are converted into digital  data and stored in a computer. The information is then used to calculate  images that appear to be slices through the body. These images show much  greater detail than conventional techniques, allowing significantly better  diagnosis and treatment. The impact of CT was nearly as large as the original  introduction of x-ray imaging itself. Within only a few years, every major  hospital in the world had access to a CT scanner. In 1979, two of CT's  principle contributors, Godfrey N. Hounsfield and Allan M. Cormack, shared  the Nobel Prize in Medicine. That's good DSP!  The last three x-ray problems have been solved by using penetrating energy  other than x-rays, such as radio and sound waves. DSP plays a key role in all  these techniques. For example, Magnetic Resonance Imaging (MRI) uses  magnetic fields in conjunction with radio waves to probe the interior of the  human body. Properly adjusting the strength and frequency of the fields cause  the atomic nuclei in a localized region of the body to resonate between quantum  energy states. This resonance results in the emission of a secondary radio  10 The Scientist and Engineer's Guide to Digital Signal Processing  wave, detected with an antenna placed near the body. The strength and other  characteristics of this detected signal provide information about the localized  region in resonance. Adjustment of the magnetic field allows the resonance  region to be scanned throughout the body, mapping the internal structure. This  information is usually presented as images, just as in computed tomography. 
Besides providing excellent discrimination between different types of soft  tissue, MRI can provide information about physiology, such as blood flow  through arteries. MRI relies totally on Digital Signal Processing techniques,  and could not be implemented without them. 
Space  Sometimes, you just have to make the most out of a bad picture. This is  frequently the case with images taken from unmanned satellites and space  exploration vehicles. No one is going to send a repairman to Mars just to  tweak the knobs on a camera! DSP can improve the quality of images taken  under extremely unfavorable conditions in several ways: brightness and  contrast adjustment, edge detection, noise reduction, focus adjustment, motion  blur reduction, etc. Images that have spatial distortion, such as encountered  when a flat image is taken of a spherical planet, can also be warped into a  correct representation. Many individual images can also be combined into a  single database, allowing the information to be displayed in unique ways. For  example, a video sequence simulating an aerial flight over the surface of a  distant planet. 
Commercial Imaging Products  The large information content in images is a problem for systems sold in mass  quantity to the general public. Commercial systems must be cheap, and this  doesn't mesh well with large memories and high data transfer rates. One  answer to this dilemma is image compression. Just as with voice signals,  images contain a tremendous amount of redundant information, and can be run  through algorithms that reduce the number of bits needed to represent them. 
Television and other moving pictures are especially suitable for compression,  since most of the image remain the same from frame-to-frame. Commercial  imaging products that take advantage of this technology include: video  telephones, computer programs that display moving pictures, and digital