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ADVANCED TOPICS IN
                  DIGITAL SIGNAL PROCESSING
                       An Examination of DSP in Modern
                          Fourth Generation Modems
                                                             fred harris
                                                      San Diego State University

                                     Applied Technology Institute
                                     349 Berkshire Drive
                                     Riva, Maryland 21140
                                     888-501-2100/410-956-8805
                                     Website: www.ATIcourses.com
                                     Email: ATI@ATIcourses.com
ATI Course Schedule: http://www.ATIcourses.com/schedule.htm
ATI’s Advanced Topics In Digital Signal Processing: http://www.aticourses.com/advanced_topics_digital.htm
Advanced Topics in Digital Signal Processing
                     An Examination of DSP in Modern Fourth Generation Modems




                     Summary
    This four-day course is designed for
 communication           systems          engineers,
 programmers, implementers and managers who
 need to understand current practice and next
 generation DSP techniques for upcoming
 communication systems. DSP is more than                                    Course Outline
 mapping legacy analog designs to a DSP                        1. Introduction. An examination of Past,
 implementation. To avoid compromise solution               Present, and Future Digital Modulation Systems.
 appropriate for an earlier time period, we return to          2. Digital Filters. FIR Filters, Resampling
 first principles to learn how to apply new                 Filters, Interpolators and Decimators, Half Band
                         technology capabilities to         Filters, Cascade-Integrator-comb (CIC) filters,
                         the design of next                 Hogenauer Filters, Multirate IIR filters.
                         generation communication
                         systems.                              3. Channelizers. Modulation                  and
                                                            Demodulation. Design Techniques. Workload
                            Students will receive a
                                                            Comparisons.
                         copy of the instructor’s
                         new textbook, Multirate               4. Filter Design T        echniques. Window
                         Signal Processing for              Designs and Performance considerations.
                         Communication Systems,             Equiripple Designs. System Considerations.
                         published by Prentice Hall.        Options to Improve System Performance. Finite
                                                            ArithmeticWindow Designs and Performance
                                                            considerations. Equiripple Designs. System
                     Instructor                             Considerations. Options to Improve System
    Dr. fred harris teaches at San Diego State              Performance. Finite Arithmetic.
 University where he occupies the CUBIC Signal                 5. Digital Baseband T ransmission. The
                Processing Chair. His teaching and          Nyquist Filter, Excess Bandwidth, Matched
                research areas include Digital Signal       Filters, Square-Root Nyquist Filter, Shaping and
                Processing,        Multirate     Signal     Up-Sampling Filters.
                Processing, Communication Systems,
                Source Coding and Modem Design. He             6. Pre-and Post-Signal Conditioning.
                has extensive practical experience in       Analog Filters, Timing Jitter, Direct Digital
                communication        systems,      high     Synthesizers, CORDIC processors, Digital
 performance modems, sonar and advanced radar               Oscillators, Interpolating and Decimating Filters in
 systems and high performance laboratory                    A-to-D and D-to-A, AGC, DC Canceling, I-Q
 instrumentation. He holds a number of patents on           Balancing.
 Multirate Signal Processing for Satellite and Cable
 Modems and lectures throughout the world on DSP               7. Sigma-Delta Converters. A-to-D, D-to-A,
 applications. Dr. harris recently published a textbook     D-to-D. Multi-loop Converters, Wide-Band
 through Prentice Hall entitled Multirate Signal            Converters. System Considerations.
 Processing for Communication Systems. He consults             8. Carrier Centered Modulation and
 for organizations requiring high performance, cost-        Demodulation. Shaping and Interpolation,
 effective DSP solutions.
                                                            QPSK, QAM, Digital IF Options, OFDM, Legacy
                                                            Analog modulation and Demodulation in DSP. FM
              What You Will Learn                           Modulation and demodulation.
 • How to size and design filters for a specified              9. Synchronization. The Phase Locked
   processing task                                          Loop, Proportional plus Integral Loops, Phase
 • Effects of Finite Arithmetic on Different Filter         Recovery, Band Edge Filters in Frequency
   Architectures                                            Recovery, Timing Recovery, Polyphase Filters in
 • Understand Multi-rate Signal processing for Sample       Timing Recovery.
   Rate Changes                                                10. Adaptive Filters. LMS Algorithm, RLS
 • Understand Multi-rate Signal processing for              Algorithm, Lattice Filters, Linear Equalization,
   Intentional Aliasing                                     Adaptive Equalization, Decision Feedback
 • DSP Based Signal Enhancement and Signal                  Equalizers, Constant Modulus (Blind) Equalizers.
   Conditioning
                                                               11. Modem Structures. Wireline, Cable,
 • DSP Based Synchronization Techniques
                                                            Satellite, and Terrestrial modems and
 • Limitations and Boundaries of DSP Based Solutions.       considerations.

Register online at www.ATIcourses.com or call ATI at 888.501.2100 or 410.956.8805                   Vol. 95 – 51
www.ATIcourses.com

Boost Your Skills                                             349 Berkshire Drive
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Tailored to Your Needs
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current in the state-of-the-art technology that is essential to keep your company on the cutting edge in today’s highly
competitive marketplace. Since 1984, ATI has earned the trust of training departments nationwide, and has presented
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increases effectiveness and productivity. Learn from the proven best.

For a Free On-Site Quote Visit Us At: http://www.ATIcourses.com/free_onsite_quote.asp

For Our Current Public Course Schedule Go To: http://www.ATIcourses.com/schedule.htm
What you will Learn
• How to Size and Design Efficient Digital Filters
• Effects of Finite Arithmetic on Different Filter
  Architectures
• Understand Multirate Signal processing for Sample Rate
  Changes
• Understand Multirate Signal processing for Intentional
  Aliasing
• DSP Based Signal Enhancement and Signal Conditioning
• DSP Based Synchronization Techniques
• Limitations and Boundaries of DSP Based Solutions
Topics
•   Digital Filters
•   Channelizers
•   Filter Design Techniques
•   Digital Baseband Transmission
•   Pre and Post Signal Conditioning
•   Sigma-Delta Converters
•   Carrier Centered Modulation and Demodulation
•   Synchronization
•   Adaptive Filters
•   Modem Structures
What the Customer Expects
It all Started with….
Regenerative Receiver
TRF: Tuned Radio Frequency




                    Note Real Breadboard
Superheterodyne




         Patent Disclosure: June 3, 1918
Receiver Requires Copy of Carrier
                                                     N(t)

                                      Ide a l                                     L Pa ss
                                                                                   ow
        x(t)
                                     Cha nne l                                      Filte r
                                                                                                  A x(t)+ NI(t)
                                                                                                                  c os((t))
                                                                                                       2
                      A c os(t)                             c os(t+ (t))


                                                            N(t)
                             m
 x(t)                                                                                    L Pa ss
                                                                                          ow
                                              Ide a l
                                             Cha nne l                                     Filte r
                                                                                                        2 [A+ A m x(t) + N (t)]
                                                                                                                         I
                                                                       Sign
               A c os(t)                                                      sign[c os(t)]


                                    ( A )2
                                      2

                                                              95% e ne rgy in c a rrie r
Carrier Recovery PLL
Harry Nyquist (1889-1960)

            The Sampling Theorem

                fS>BW
Analog to Digital Converter
The Modern Era
ADC and DSP Insertion
IF Sampling
Timing Correction in DSP Land
Digital Receiver: Asynchronous
  Carrier and Sampling Clock
DSP Based Receiver
          Ana log                                10-BIT
        B nd Pa ss
         a                   VGA                 ADC
           Filte r


                             AGC                  Signa l
                            Control              Pre se nt
                                                De te c tor                 LMS
40.0 MS/S                                                                Algorithm

                                                                                                 125 KS/S                 -
      Polypha se               Polypha se       250 KS/S                                     2-to-1
     Downsa mple                Ma tc he d                               Equa lize r                                De te c tor
                                                                                             Down
         Filte r                 Filte r
                                                                                            sa mple
        4-to-1                   40-to-1


            10.0 MS/S                  Timing
                                                                          Ca rrie r                                         *
                                                                        Loop Filte r
                                       L oop
                                                                          & DDS

                               Polypha se
                                De riva tive
                                Ma tc he d
                                 Filte r
                                                                                                      Pa ra lle l
                                                                                Ma pping                                   Ouput Da ta
                              Polypha se                                                                 to
                                                                De te c te d    Algorithm                                  0.25/0.5/1.0
                              B nd-Edge
                               a                                                           B ry
                                                                                            ina        Se ria l
                                                                 Symbols                                                      MB /S
              Ce nte r           Filte r                      125 Ksym/se c              Symbols
            Fre que nc y                                                               125/250/500
             Se le c tion                                            QPSK/QAM           Kwords/se c

                                 Sta te Ma c hine                                               Control
                                                                                                Signa ls
Polyphase Multichannel Receiver
                                                                                                     TIMING
                                                                                                     RCV RY

                       PHASE-0

                       PH -1
                         ASE
                 VCO
                                                             PHASE
                       PHASE-2
     fc     fs                                              ROT T
                                                              A ORS




                                                                       ...............
                                          ...............
                        ...............
      IF                                                                                 Cha nne l
            ADC                                              80-PNT
                                                                                          Se le ct
    ST GE
     A                                                        Re a l
                                                               FFT                         a nd
                                                                                         Proc ess
                                                              or

                                                             40-PNT
                       PHASE-38                             Comple x
                                                               FFT
                       PH -39
                         ASE
Time Series: 40-Channel
 Polyphase Filter Bank

                  0.8


                  0.6
   m a gnitu de




                  0.4


                  0.2


                       0
                  40

                           35

                                30

                                     25

                                          20

                                               15
                                                                                                                     100
                                                                                                                90
                                                    10                                                     80
                                                                                                      70
                                                                                                 60
                                                         5                                  50
   c e nte r fre que nc y                                                            40
                                                                               30
                                                                          20
                                                             0       10
                                                                 0
                                                                                    tim e
Polyphase Channelize
1-Wideband and 7-Narrowband CDMA Signals
                           S pectrum: S -1 at 6.144 MHz S pectrum: S -2 at 6.144 MHz S pectrum: S -3 at 6.144 MHz S pectrum: S -4 at 6.144 MHz S pectrum: S -5 at 6.144 MHz

                            0                            0                                0                           0                           0


                           -20                         -20                               -20                        -20                          -20


                           -40                         -40                               -40                        -40                          -40


                           -60                         -60                               -60                        -60                          -60


                           -80                         -80                               -80                        -80                          -80


                          -100                        -100                              -100                       -100                         -100
                                 -2      0        2           -2        0      2               -2     0     2                 -2   0        2          -2       0   2



                                                                   S pectra ups ampled to 15.36 MHz and up converted in polyphas e filter

                            0


                           -20
           Log-Mag (dB)




                           -40


                           -60


                           -80


                          -100
                                             -6               -4                   -2                 0                   2                 4               6
                                                                                               Frequency (MHz)
Related Publications
f.j harris,
   “On the Relationship Between Multirate Polyphase FIR Filters and Windowed, Overlapped
    FFT Processing”, Twenty-third Annual Asilomar Conference on Signals and Computers, 1989.



• D. Elliot, Editor,
  “Handbook of Digital Signal Processing: Engineering Applications”,
     Academic Press, 1987, Chapter 8, “Time Domain Signal Processing with the DFT”, pp 639-666.


 •f.j. harris and M. Rice,
    “Multirate Digital Filters for Symbol Timing Synchronization in Software Defined Radios”,
     IEEE Journal on Selected Areas in Communications, Vol. 19, pp. 2346-2357, Dec. 2001.


  •f.j. harris, C. Dick, and M. Rice,
    “Digital Receivers and Transmitters Using Polyphase Filter Banks for                   Wireless
  Communications”,
    IEEE Microwave Theory and Techniques, Vol. 51, No. 4, April 2003, pp.1395-1412
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Advanced Topics In Digital Signal Processing

  • 1. ADVANCED TOPICS IN DIGITAL SIGNAL PROCESSING An Examination of DSP in Modern Fourth Generation Modems fred harris San Diego State University Applied Technology Institute 349 Berkshire Drive Riva, Maryland 21140 888-501-2100/410-956-8805 Website: www.ATIcourses.com Email: ATI@ATIcourses.com ATI Course Schedule: http://www.ATIcourses.com/schedule.htm ATI’s Advanced Topics In Digital Signal Processing: http://www.aticourses.com/advanced_topics_digital.htm
  • 2. Advanced Topics in Digital Signal Processing An Examination of DSP in Modern Fourth Generation Modems Summary This four-day course is designed for communication systems engineers, programmers, implementers and managers who need to understand current practice and next generation DSP techniques for upcoming communication systems. DSP is more than Course Outline mapping legacy analog designs to a DSP 1. Introduction. An examination of Past, implementation. To avoid compromise solution Present, and Future Digital Modulation Systems. appropriate for an earlier time period, we return to 2. Digital Filters. FIR Filters, Resampling first principles to learn how to apply new Filters, Interpolators and Decimators, Half Band technology capabilities to Filters, Cascade-Integrator-comb (CIC) filters, the design of next Hogenauer Filters, Multirate IIR filters. generation communication systems. 3. Channelizers. Modulation and Demodulation. Design Techniques. Workload Students will receive a Comparisons. copy of the instructor’s new textbook, Multirate 4. Filter Design T echniques. Window Signal Processing for Designs and Performance considerations. Communication Systems, Equiripple Designs. System Considerations. published by Prentice Hall. Options to Improve System Performance. Finite ArithmeticWindow Designs and Performance considerations. Equiripple Designs. System Instructor Considerations. Options to Improve System Dr. fred harris teaches at San Diego State Performance. Finite Arithmetic. University where he occupies the CUBIC Signal 5. Digital Baseband T ransmission. The Processing Chair. His teaching and Nyquist Filter, Excess Bandwidth, Matched research areas include Digital Signal Filters, Square-Root Nyquist Filter, Shaping and Processing, Multirate Signal Up-Sampling Filters. Processing, Communication Systems, Source Coding and Modem Design. He 6. Pre-and Post-Signal Conditioning. has extensive practical experience in Analog Filters, Timing Jitter, Direct Digital communication systems, high Synthesizers, CORDIC processors, Digital performance modems, sonar and advanced radar Oscillators, Interpolating and Decimating Filters in systems and high performance laboratory A-to-D and D-to-A, AGC, DC Canceling, I-Q instrumentation. He holds a number of patents on Balancing. Multirate Signal Processing for Satellite and Cable Modems and lectures throughout the world on DSP 7. Sigma-Delta Converters. A-to-D, D-to-A, applications. Dr. harris recently published a textbook D-to-D. Multi-loop Converters, Wide-Band through Prentice Hall entitled Multirate Signal Converters. System Considerations. Processing for Communication Systems. He consults 8. Carrier Centered Modulation and for organizations requiring high performance, cost- Demodulation. Shaping and Interpolation, effective DSP solutions. QPSK, QAM, Digital IF Options, OFDM, Legacy Analog modulation and Demodulation in DSP. FM What You Will Learn Modulation and demodulation. • How to size and design filters for a specified 9. Synchronization. The Phase Locked processing task Loop, Proportional plus Integral Loops, Phase • Effects of Finite Arithmetic on Different Filter Recovery, Band Edge Filters in Frequency Architectures Recovery, Timing Recovery, Polyphase Filters in • Understand Multi-rate Signal processing for Sample Timing Recovery. Rate Changes 10. Adaptive Filters. LMS Algorithm, RLS • Understand Multi-rate Signal processing for Algorithm, Lattice Filters, Linear Equalization, Intentional Aliasing Adaptive Equalization, Decision Feedback • DSP Based Signal Enhancement and Signal Equalizers, Constant Modulus (Blind) Equalizers. Conditioning 11. Modem Structures. Wireline, Cable, • DSP Based Synchronization Techniques Satellite, and Terrestrial modems and • Limitations and Boundaries of DSP Based Solutions. considerations. Register online at www.ATIcourses.com or call ATI at 888.501.2100 or 410.956.8805 Vol. 95 – 51
  • 3. www.ATIcourses.com Boost Your Skills 349 Berkshire Drive Riva, Maryland 21140 with On-Site Courses Telephone 1-888-501-2100 / (410) 965-8805 Tailored to Your Needs Fax (410) 956-5785 Email: ATI@ATIcourses.com The Applied Technology Institute specializes in training programs for technical professionals. Our courses keep you current in the state-of-the-art technology that is essential to keep your company on the cutting edge in today’s highly competitive marketplace. Since 1984, ATI has earned the trust of training departments nationwide, and has presented on-site training at the major Navy, Air Force and NASA centers, and for a large number of contractors. Our training increases effectiveness and productivity. Learn from the proven best. For a Free On-Site Quote Visit Us At: http://www.ATIcourses.com/free_onsite_quote.asp For Our Current Public Course Schedule Go To: http://www.ATIcourses.com/schedule.htm
  • 4. What you will Learn • How to Size and Design Efficient Digital Filters • Effects of Finite Arithmetic on Different Filter Architectures • Understand Multirate Signal processing for Sample Rate Changes • Understand Multirate Signal processing for Intentional Aliasing • DSP Based Signal Enhancement and Signal Conditioning • DSP Based Synchronization Techniques • Limitations and Boundaries of DSP Based Solutions
  • 5. Topics • Digital Filters • Channelizers • Filter Design Techniques • Digital Baseband Transmission • Pre and Post Signal Conditioning • Sigma-Delta Converters • Carrier Centered Modulation and Demodulation • Synchronization • Adaptive Filters • Modem Structures
  • 7. It all Started with….
  • 9. TRF: Tuned Radio Frequency Note Real Breadboard
  • 10. Superheterodyne Patent Disclosure: June 3, 1918
  • 11. Receiver Requires Copy of Carrier N(t) Ide a l L Pa ss ow x(t) Cha nne l Filte r A x(t)+ NI(t) c os((t)) 2 A c os(t) c os(t+ (t)) N(t) m x(t) L Pa ss ow Ide a l Cha nne l Filte r 2 [A+ A m x(t) + N (t)]  I Sign A c os(t) sign[c os(t)] ( A )2 2 95% e ne rgy in c a rrie r
  • 13. Harry Nyquist (1889-1960) The Sampling Theorem fS>BW
  • 14. Analog to Digital Converter
  • 15. The Modern Era ADC and DSP Insertion
  • 18. Digital Receiver: Asynchronous Carrier and Sampling Clock
  • 19. DSP Based Receiver Ana log 10-BIT B nd Pa ss a VGA ADC Filte r AGC Signa l Control Pre se nt De te c tor LMS 40.0 MS/S Algorithm 125 KS/S - Polypha se Polypha se 250 KS/S 2-to-1 Downsa mple Ma tc he d Equa lize r De te c tor Down Filte r Filte r sa mple 4-to-1 40-to-1 10.0 MS/S Timing Ca rrie r * Loop Filte r L oop & DDS Polypha se De riva tive Ma tc he d Filte r Pa ra lle l Ma pping Ouput Da ta Polypha se to De te c te d Algorithm 0.25/0.5/1.0 B nd-Edge a B ry ina Se ria l Symbols MB /S Ce nte r Filte r 125 Ksym/se c Symbols Fre que nc y 125/250/500 Se le c tion QPSK/QAM Kwords/se c Sta te Ma c hine Control Signa ls
  • 20. Polyphase Multichannel Receiver TIMING RCV RY PHASE-0 PH -1 ASE VCO PHASE PHASE-2 fc fs ROT T A ORS ............... ............... ............... IF Cha nne l ADC 80-PNT Se le ct ST GE A Re a l FFT a nd Proc ess or 40-PNT PHASE-38 Comple x FFT PH -39 ASE
  • 21. Time Series: 40-Channel Polyphase Filter Bank 0.8 0.6 m a gnitu de 0.4 0.2 0 40 35 30 25 20 15 100 90 10 80 70 60 5 50 c e nte r fre que nc y 40 30 20 0 10 0 tim e
  • 22. Polyphase Channelize 1-Wideband and 7-Narrowband CDMA Signals S pectrum: S -1 at 6.144 MHz S pectrum: S -2 at 6.144 MHz S pectrum: S -3 at 6.144 MHz S pectrum: S -4 at 6.144 MHz S pectrum: S -5 at 6.144 MHz 0 0 0 0 0 -20 -20 -20 -20 -20 -40 -40 -40 -40 -40 -60 -60 -60 -60 -60 -80 -80 -80 -80 -80 -100 -100 -100 -100 -100 -2 0 2 -2 0 2 -2 0 2 -2 0 2 -2 0 2 S pectra ups ampled to 15.36 MHz and up converted in polyphas e filter 0 -20 Log-Mag (dB) -40 -60 -80 -100 -6 -4 -2 0 2 4 6 Frequency (MHz)
  • 23. Related Publications f.j harris, “On the Relationship Between Multirate Polyphase FIR Filters and Windowed, Overlapped FFT Processing”, Twenty-third Annual Asilomar Conference on Signals and Computers, 1989. • D. Elliot, Editor, “Handbook of Digital Signal Processing: Engineering Applications”, Academic Press, 1987, Chapter 8, “Time Domain Signal Processing with the DFT”, pp 639-666. •f.j. harris and M. Rice, “Multirate Digital Filters for Symbol Timing Synchronization in Software Defined Radios”, IEEE Journal on Selected Areas in Communications, Vol. 19, pp. 2346-2357, Dec. 2001. •f.j. harris, C. Dick, and M. Rice, “Digital Receivers and Transmitters Using Polyphase Filter Banks for Wireless Communications”, IEEE Microwave Theory and Techniques, Vol. 51, No. 4, April 2003, pp.1395-1412
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