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Computing Engine Choices

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Title: Computing Engine Choices


1
Computing Engine Choices
  • General Purpose Processors (GPPs) Intended for
    general purpose computing (desktops, servers,
    clusters..)
  • Application-Specific Processors (ASPs)
    Processors with ISAs and architectural features
    tailored towards specific application domains
  • E.g Digital Signal Processors (DSPs), Network
    Processors (NPs), Media Processors, Graphics
    Processing Units (GPUs), Vector Processors???
    ...
  • Co-Processors A hardware (hardwired)
    implementation of specific algorithms with
    limited programming interface (augment GPPs or
    ASPs)
  • Configurable Hardware
  • Field Programmable Gate Arrays (FPGAs)
  • Configurable array of simple processing elements
  • Application Specific Integrated Circuits (ASICs)
    A custom VLSI hardware solution for a specific
    computational task
  • The choice of one or more depends on a number of
    factors including
  • - Type and complexity of computational
    algorithm
  • (general purpose vs. Specialized)
  • - Desired level of flexibility and
    programmability
  • - Performance requirements
  • - Desired level of computational
    efficiency
  • (e.g Computations per watt
    or computations per chip area)
  • - Power requirements -
    Real-time constraints
  • - Development time and cost -
    System cost

General Purpose ISAs (RISC or CISC)
Special Purpose ISAs
The ISA forms an abstraction layer that sets the
requirements for both complier and CPU designers
Repeated here from lecture 1
2
Computing Engine Choices
For Application-Specific Processors (ASPs)
e.g Digital Signal Processors (DSPs), Network
Processors (NPs), Media Processors, Graphics
Processing Units (GPUs) Physics Processor .
General Purpose Processors (GPPs)
Flexibility
Processor Programmable computing element that
runs programs written using a pre-defined set of
instructions
Application-Specific Processors (ASPs)
Programmability /
Configurable Hardware
Selection Factors
  • Type and complexity of computational algorithm
  • (general purpose vs. Specialized)
  • - Desired level of flexibility and
    programmability
  • - Performance requirements
  • - Desired level of computational efficiency
  • Power requirements - Real-time
    constraints
  • - Development time and cost - System cost

Co-Processors
Application Specific Integrated Circuits
(ASICs)
Specialization , Development cost/time
Performance/Chip Area/Watt (Computational
Efficiency)
Repeated here from lecture 1
3
Computing Element Choices Observation
Why Application-Specific Processors (ASPs)?
  • Generality and efficiency are in some sense
    inversely related to one another
  • The more general-purpose a computing element is
    and thus the greater the number of tasks it can
    perform, the less efficient (e.g. Computations
    per chip area /watt) it will be in performing any
    of those specific tasks.
  • Design decisions are therefore almost always
    compromises designers identify key features or
    requirements of applications that must be met and
    and make compromises on other less important
    features.
  • To counter the problem of computationally intense
    and specialized problems for which general
    purpose machines cannot achieve the necessary
    performance/other requirements
  • Special-purpose processors (or Application-Specifi
    c Processors, ASPs) , attached processors, and
    coprocessors have been designed/built for many
    years, for specific application domains, such
    as image or digital signal processing (for which
    many of the computational tasks are specialized
    and can be very well defined).

i.e computational efficiency
ASPs
Generality Flexibility Programmability
? Efficiency Computational Efficiency
(Computations per watt or chip area)
4
Digital Signal Processor (DSP) Architecture
  • Classification of Main Processor
    Types/Applications
  • Requirements of Embedded Processors
  • DSP vs. General Purpose CPUs
  • DSP Cores vs. Chips
  • Classification of DSP Applications
  • DSP Algorithm Format
  • DSP Benchmarks
  • Basic Architectural Features of DSPs
  • DSP Software Development Considerations
  • Classification of Current DSP Architectures and
    example DSPs
  • Conventional DSPs TI TMSC54xx
  • Enhanced Conventional DSPs TI TMSC55xx
  • Multiple-Issue DSPs
  • VLIW DSPs TI TMS320C62xx, TMS320C64xx
  • Superscalar DSPs LSI Logic ZSP400/500 DSP core

DSPs are often embedded
5
Main Processor Types/Applications
  • General Purpose Computing General Purpose
    Processors (GPPs)
  • High performance In general, faster is always
    better.
  • RISC or CISC Intel P4, IBM Power4, SPARC,
    PowerPC, MIPS ...
  • Used for general purpose software
  • End-user programmable
  • Real-time performance may not be fully
    predictable (due to dynamic arch. features)
  • Heavy weight, multi-tasking OS - Windows, UNIX
  • Normally, low cost and power not a requirement
    (changing)
  • Servers, Workstations, Desktops (PCs),
    Notebooks, Clusters
  • Embedded Processing Embedded processors and
    processor cores
  • Cost, power code-size and real-time requirements
    and constraints
  • Once real-time constraints are met, a faster
    processor may not be better
  • e.g Intel XScale, ARM, 486SX, Hitachi SH7000,
    NEC V800...
  • Often require Digital signal processing (DSP)
    support or other
  • application-specific support (e.g
    network, media processing)
  • Single or few specialized programs known at
    system design time
  • Not end-user programmable
  • Real-time performance must be fully predictable
    (avoid dynamic arch. features)
  • Lightweight, often realtime OS or no OS

Increasing Cost/Complexity
Increasing volume
Examples of Application-Specific Processors (ASPs)
6
The Processor Design Space
(Main Types)
Embedded processors
Application specific architectures for performance
Microprocessors
GPPs
Real-time constraints Specialized
applications Low power/cost constraints
Performance is everything Software rules
Performance
Microcontrollers
Examples of ASPs
Cost is everything
Chip Area, Power complexity
Processor Cost
7
Requirements of Embedded Processors
  • Usually must meet strict real-time constraints
  • Real-time performance must be fully predictable
  • Avoid dynamic processor architectural features
    that make real-time performance harder to predict
    ( e.g cache, dynamic scheduling, hardware
    speculation )
  • Once real-time constraints are met, a faster
    processor is not desirable (overkill) due to
    increased cost/power requirements.
  • Optimized for a single (or few) program (s) -
    code often in on-chip ROM or on/off chip
    EPROM/flash memory.
  • Minimum code size (one of the motivations
    initially for Java)
  • Performance obtained by optimizing datapath
  • Low cost
  • Lowest possible area
  • High computational efficiency Computation per
    unit area
  • VLSI implementation technology usually behind the
    leading edge
  • High level of integration of peripherals
    (System-on-Chip -SoC- approach reduces system
    cost/power)
  • Fast time to market
  • Compatible architectures (e.g. ARM family)
    allows reusable code
  • Customizable cores (System-on-Chip, SoC).
  • Low power if application requires portability

Embedded Processors How Fast?
8
Area of processor cores Cost
Embedded Processors
(and Power requirements)
Thus need to minimize chip area
Nintendo processor
Cellular phones
9
Another figure of merit Computation per unit
area
Embedded Processors
(Computational Efficiency)
Nintendo processor
Cellular phones
10
Code size
Embedded Processors
Smaller is better
  • If a majority of the chip is the program stored
    in ROM, then minimizing code size is a critical
    issue
  • Common embedded processor ISA features to
    minimize code size
  • Variable length instruction encoding common
  • e.g. the Piranha has 3 sized instructions - basic
    2 byte, and 2 byte plus 16 or 32 bit immediate
  • Complex/specialized instructions
  • Complex addressing modes

1
How?
2
3
11
Embedded Systems vs. General Purpose Computing
General Purpose Computing Systems
Embedded Systems
(and processors GPPs)
(and embedded processors)
Used for general purpose software Intended to
run a fully general set of applications that may
not be known at design time
Run a single or few specialized applications
often known at system design time
May require application-specific capability (e.g
DSP)
No application-specific capability required
End-user programmable
Not end-user programmable
Minimum code size is highly desirable
Minimizing code size is not an issue
Heavy weight, multi-tasking OS - Windows, UNIX
Lightweight, often real-time OS or no OS
Low power and cost constraints/requirements
Higher power and cost constraints/requirements
  • Usually must meet strict real-time constraints
  • (e.g. real-time sampling rate)

In general, no real-time constraints
Thus
Thus
  • Real-time performance must be fully predictable
  • Avoid dynamic processor architectural features
    that make real-time performance harder to predict
  • Real-time performance may not be fully
    predictable (due to dynamic processor
    architectural features)
  • Superscalar dynamic scheduling, hardware
    speculation, branch prediction, cache.

Once real-time constraints are met, a faster
processor is not desirable (overkill) due to
increased cost/power requirements.
Faster (higher-performance) is always better
usually
12
Evolution of GPPs and DSPs
  • General Purpose Processors (GPPs) trace roots
    back to Eckert, Mauchly, Von Neumann (ENIAC)
  • Digital Signal Processors (DSPs) are
    microprocessors designed for efficient
    mathematical manipulation of digital signals
    utilizing digital signal processing algorithms.
  • DSPs usually process infinite continuous sampled
    data streams (physical signals) while meeting
    real-time and power constraints.
  • DSPs evolved from Analog Signal Processors (ASPs)
    that utilize analog hardware to transform
    physical signals (classical electrical
    engineering)
  • ASP to DSP because
  • DSP insensitive to environment (e.g., same
    response in snow or desert if it works at all)
  • DSP performance identical even with variations in
    components 2 analog systems behavior varies even
    if built with same components with 1 variation
  • Different history and different applications
    requirements led to different ISA design
    considerations, terms, different metrics,
    architectures, some new inventions.

EDSAC
First generation processors
13
DSP vs. General Purpose CPUs
  • DSPs tend to run one (or few) program(s), not
    many programs.
  • Hence OSes (if any) are much simpler, there is no
    virtual memory or protection, ...
  • DSPs usually run applications with hard real-time
    constraints
  • DSP must meet application signal sampling rate
    computational requirements
  • Once above real-time constraints are met, a
    faster DSP is overkill (higher DSP cost,
    power..) without additional benefit.
  • You must account for anything that could happen
    in a time slot (DSP algorithm inner-loop, data
    sampling rate)
  • All possible interrupts or exceptions must be
    accounted for and their collective time be
    subtracted from the time interval.
  • Therefore, exceptions are BAD.
  • DSPs usually process infinite continuous data
    streams
  • Requires high memory bandwidth (with predictable
    latency, e.g no data cache) for streaming
    real-time data samples and predictable processing
    time on the data samples
  • The design of DSP ISAs and processor
    architectures is driven by the requirements of
    DSP algorithms.
  • Thus DSPs are application-specific processors

DSP Performance Requirements
Similar to other embedded processors
14
DSP vs. GPP
  • The MIPS/MFLOPS of DSPs is speed of
    Multiply-Accumulate (MAC).
  • MAC is common in DSP algorithms that involve
    computing a vector dot product, such as digital
    filters, correlation, and Fourier transforms.
  • DSP are judged by whether they can keep the
    multipliers busy 100 of the time and by how many
    MACs are performed in each cycle.
  • The "SPEC" of DSPs is 4 algorithms
  • Inifinite Impule Response (IIR) filters
  • Finite Impule Response (FIR) filters
  • FFT, and
  • convolvers
  • In DSPs, target algorithms are important
  • Binary compatibility not a major issue
  • High-level Software is not as important in DSPs
    as in GPPs.
  • People still write in assembly language for a
    product to minimize the die area for ROM in the
    DSP chip.

i.e Main performance measure of DSPs is MAC speed
Why?
Since DSPS are application domain specific
processors
unlike general purpose
Code size
Note While this is still mostly true, however,
programming for DSPs in high level languages
(HLLs) has been gaining more acceptance due to
the development of more efficient HLL DSP
compilers in recent years.
15
Types of DSP Processors
According to type of Arithmetic/operand Size
Supported
  • 32-BIT FLOATING POINT (5 of DSP market)
  • TI TMS320C3X, TMS320C67xx (VLIW)
  • ATT DSP32C
  • ANALOG DEVICES ADSP21xxx
  • Hitachi SH-4
  • 16-BIT FIXED POINT (95 of DSP market)
  • TI TMS320C2X, TMS320C62xx (VLIW)
  • Infineon TC1xxx (TriCore1) (VLIW)
  • MOTOROLA DSP568xx, MSC810x (VLIW)
  • ANALOG DEVICES ADSP21xx
  • Agere Systems DSP16xxx, Starpro2000
  • LSI Logic LSI140x (ZPS400) superscalar
  • Hitachi SH3-DSP
  • StarCore SC110, SC140 (VLIW)

Examples
Examples
16
DSP Cores vs. Chips
  • DSP are usually available as synthesizable cores
    or off-the-
  • shelf packaged chips
  • Synthesizable Cores
  • Map into chosen fabrication process
  • Speed, power, and size vary
  • Choice of peripherals, etc. (SoC)
  • Requires extensive hardware development effort.
  • Off-the-shelf packaged chips
  • Highly optimized for speed, energy efficiency,
    and/or cost.
  • Lower development time/cost/effort.
  • Tools, 3rd-party support often more mature.
  • Faster time to market.
  • Limited performance, integration options.

IP
SOC System On Chip
Resulting in more development time and cost (very
high volume needed to justify development cost
17
DSP ARCHITECTUREEnabling Technologies
First microprocessor DSP TI TMS 32010
1
2
3
4
Generations of single-chip (microprocessor) DSPs
18
Texas Instruments TMS320 Family Multiple DSP ?P
Generations
1 2 3 4
(VLIW)
Generations of single-chip (microprocessor) DSPs
19
DSP Applications
  • Digital audio applications
  • MPEG Audio
  • Portable audio
  • Digital cameras
  • Cellular telephones
  • Wearable medical appliances
  • Storage products
  • disk drive servo control
  • Military applications
  • radar
  • sonar
  • Industrial control
  • Seismic exploration
  • Networking
  • (Telecom infrastructure)
  • Wireless
  • Base station
  • Cable modems
  • ADSL
  • VDSL
  • ...

Current DSP Killer Applications Cell phones and
telecom infrastructure
HDTV? .. Other?
20
DSP Algorithms Applications
21
Another Look at DSP Applications
  • High-end
  • Military applications (e.g. radar/sonar)
  • Wireless Base Station - TMS320C6000
  • Cable modem
  • Gateways - HDTV
  • Mid-range
  • Industrial control
  • Cellular phone - TMS320C540
  • Fax/ voice server
  • Low end
  • Storage products - TMS320C27 (hard drive
    controllers)
  • Digital camera - TMS320C5000
  • Portable phones
  • Wireless headsets
  • Consumer audio
  • Automobiles, thermostats, ...

Increasing Cost
Increasing volume
22
DSP range of applications
Possible Target DSPs
23
Cellular Phone System
1 2 3 4 5 6 7 8 9 0
415-555-1212
CONTROLLER
RF MODEM
PHYSICAL LAYER PROCESSING
BASEBAND CONVERTER
A/D
SPEECH DECODE
SPEECH ENCODE
DAC
Example DSP Application
24
Cellular Phone HW/SW/IC Partitioning
MICROCONTROLLER
1 2 3 4 5 6 7 8 9 0
415-555-1212
CONTROLLER
RF MODEM
PHYSICAL LAYER PROCESSING
BASEBAND CONVERTER
ASIC
A/D
SPEECH DECODE
SPEECH ENCODE
DAC
DSP
ANALOG IC
Example DSP Application
25
Mapping Onto System-on-Chip (SoC)
(Cellular Phone)
S/P
phone book
keypad intfc
Micro-controller or embedded processor
protocol
DMA
control
RAM
µC
speech quality enhancment
voice recognition
ASIC LOGIC
RPE-LTP speech decoder
de-intl decoder
Viterbi equalizer
demodulator and synchronizer
DSP Core
Example DSP Application
26
Example Cellular Phone Organization
C540
(DSP)
ARM7
(µC)
Example DSP Application
27
Multimedia System-on-Chip (SoC)
e.g. Multimedia terminal electronics
ASIC Co-processor Or ASP
  • Future chips will be a mix of processors, memory
    and dedicated hardware for specific algorithms
    and I/O

(ASIC)
Example DSP Application
28
DSP Algorithm Format
  • DSP culture has a graphical format to represent
    formulas.
  • Like a flowchart for formulas, inner loops, not
    programs.
  • Some seem natural ? is add, X is multiply
  • Others are obtuse z1 means take variable from
    earlier iteration (delay).
  • These graphs are trivial to decode

29
DSP Algorithm Notation
  • Uses flowchart notation instead of equations
  • Multiply is or X
  • Add is or
  • ?
  • Delay/Storage is
    or or
  • Delay z1 D

30
Typical DSP Algorithm Finite-Impulse Response
(FIR) Filter
  • Filters reduce signal noise and enhance image or
    signal quality by removing unwanted frequencies.
  • Finite Impulse Response (FIR) filters compute
  • where
  • x is the input sequence
  • y is the output sequence
  • h is the impulse response (filter coefficients)
  • N is the number of taps (coefficients) in the
    filter
  • Output sequence depends only on input sequence
    and impulse response.

Vector Dot Product Multiply Accumulate (MAC)
Operations
i.e filter coefficients
31
Typical DSP Algorithms Finite-impulse Response
(FIR) Filter
  • N most recent samples in the delay line (Xi)
  • New sample moves data down delay line
  • Filter Tap is a multiply-add
  • Each tap (N taps total) nominally requires
  • Two data fetches
  • Multiply
  • Accumulate
  • Memory write-back to update delay line
  • Special addressing modes (e.g modulo)
  • Goal At least 1 FIR Tap / DSP instruction cycle

(Multiply And Accumulate, MAC)
  • Requires real-time data sample streaming
  • Predictable data bandwidth/latency
  • Special addressing modes
  • Separate memory banks/busses?
  • Repetitive computations, multiply and accumulate
    (MAC)
  • Requires efficient MAC support

32
  • FINITE-IMPULSE RESPONSE (FIR) FILTER

Signal Samples
Delay (accumulator register)
Filter Coefficients
MAC
Delayed samples
Filter coefficients
A Filter Tap
One FIR Filter Tap
i.e. Vector dot product
Performance Goal at least 1 FIR Tap / DSP
instruction cycle
DSP must meet application signal sampling rate
computational requirements A faster DSP is
overkill (more cost/power than really needed)
33
Sample Computational Rates for FIR Filtering
FIR Type
1-D
1-D
2-D
2-D
(4.37 GOPs)
2-D
(23.3 GOPs)
1-D FIR has nop 2N and a 2-D FIR has nop 2N2.

OP Operation
  • DSP must meet application signal sampling rate
    computational requirements
  • A faster DSP is overkill (higher DSP cost,
    power..)

DSP Performance Requirements
34
FIR filter on (simple) General Purpose Processor
  • loop lw x0, 0(r0) lw y0, 0(r1) mul a,
    x0,y0add y0,a,b sw y0,(r2) inc r0 inc r1
    inc r2 dec ctr tst ctr jnz loop
  • Problems
  • Bus / memory bandwidth bottleneck,
  • control/loop code overhead
  • No suitable addressing modes, instructions -
  • e.g. multiply and accumulate (MAC) instruction
  • GPP Real-time performance may (to meet signal
    sampling rate) not be fully predictable (due to
    dynamic processor architectural features)
  • Superscalar dynamic scheduling, hardware
    speculation, branch prediction, cache.


35
Typical DSP Algorithms Infinite-Impulse
Response (IIR) Filter
  • Infinite Impulse Response (IIR) filters compute
  • Output sequence depends on input sequence,
    previous outputs, and impulse response.
  • Both FIR and IIR filters
  • Require vector dot product (multiply-accumulate)
    operations
  • Use fixed coefficients
  • Adaptive filters update their coefficients to
    minimize the distance between the filter output
    and the desired signal.

MAC
MAC
i.e Filter coefficients a(k), b(k)
MAC
normally
36
Typical DSP Algorithms Discrete Fourier
Transform (DFT)
  • The Discrete Fourier Transform (DFT) allows for
    spectral analysis in the frequency domain.
  • It is computed as
  • for k 0, 1, , N-1, where
  • x is the input sequence in the time domain
  • y is an output sequence in the frequency domain
  • The Inverse Discrete Fourier Transform is
    computed as
  • The Fast Fourier Transform (FFT) provides an
    efficient method for computing the DFT.

MAC
MAC
37
Typical DSP Algorithms Discrete Cosine
Transform (DCT)
  • The Discrete Cosine Transform (DCT) is frequently
    used in image video compression (e.g. JPEG,
    MPEG-2).
  • The DCT and Inverse DCT (IDCT) are computed as
  • where e(k) 1/sqrt(2) if k 0 otherwise e(k)
    1.
  • A N-Point, 1D-DCT requires N2 MAC operations.

MAC
MAC
38
DSP BENCHMARKS
  • DSPstone University of Aachen, application
    benchmarks
  • ADPCM TRANSCODER - CCITT G.721, REAL_UPDATE,
    COMPLEX_UPDATES
  • DOT_PRODUCT, MATRIX_1X3, CONVOLUTION
  • FIR, FIR2DIM, HR_ONE_BIQUAD
  • LMS, FFT_INPUT_SCALED
  • BDTImark2000 Berkeley Design Technology Inc
  • 12 DSP kernels in hand-optimized assembly
    language
  • FIR, IIR, Vector dot product, Vector add, Vector
    maximum, FFT .
  • Returns single number (higher means faster) per
    processor
  • Use only on-chip memory (memory bandwidth is the
    major bottleneck in performance of embedded
    applications).
  • EEMBC (pronounced embassy) EDN Embedded
    Microprocessor Benchmark Consortium
  • 30 companies formed by Electronic Data News (EDN)
  • Benchmark evaluates compiled C code on a variety
    of embedded processors (microcontrollers, DSPs,
    etc.)
  • Application domains automotive-industrial,
    consumer, office automation, networking and
    telecommunications

BDTI
39
4th Generation
3rd Generation
2nd Generation
gt 800x Faster than first generation
1st Generation
DSPs from generations 2, 3 and 4 are in use
today. Why?
40
Basic DSP ISA/Architectural Features
  • Data path configured for DSP algorithms
  • Fixed-point arithmetic (most DSPs)
  • Modulo arithmetic (saturation to handle overflow)
  • MAC- Multiply-accumulate unit(s)
  • Hardware rounding support
  • Multiple memory banks and buses -
  • Harvard Architecture
  • Multiple data memories/buses
  • Specialized addressing modes
  • Bit-reversed addressing
  • Circular buffers
  • Specialized instruction set and execution control
  • Zero-overhead loops
  • Support for fast MAC
  • Fast Interrupt Handling
  • Specialized peripherals for DSP
  • - (System on Chip - SoC style)

DSP ISA Feature
DSP Architectural Features
DSP Architectural Feature
Usually with no data cache for predictable fast
data sample streaming
DSP ISA Feature
DSP Architectural Feature
Dedicated address generation units are usually
used
DSP ISA Feature
To meet real-time signal sampling/processing
constraints
DSP Architectural Feature
41
DSP Data Path Arithmetic
DSP ISA Features
Most Common Fixed Point (16-bit) Integer
Arithmetic
  • DSPs dealing with numbers representing real world
    signalsgt Want reals/ fractions
  • DSPs dealing with numbers for addressesgt Want
    integers
  • DSP ISA (and DSP) must Support fixed point as
    well as integers

Fixed-point
Thus
.
-1 Š x lt 1
S
DSP ISA Feature
radix point
In DSP ISAs Fixed-point arithmetic must be
supported, floating point support is optional
and is much less common
.
2N1 Š x lt 2N1
S
radix point
Usually 16-bit fixed-point
Much Less Common Single Precision Floating-point
Support
42
DSP Data Path Precision
DSP ISA Features
16-bit Fixed-Point Most Common
  • Word size affects precision of fixed point
    numbers
  • DSPs have 16-bit, 20-bit, or 24-bit data words
  • Floating Point DSPs cost 2X - 4X vs. fixed point,
    slower than fixed point
  • DSP programmers will scale values inside code
  • SW Libraries
  • Separate explicit exponent
  • Blocked Floating Point single exponent for a
    group of fractions
  • Floating point support simplify development for
    high-end DSP applications.

16-bit most common
Single Precision
In DSP ISAs Fixed-point arithmetic must be
supported, floating point (single precision)
support is optional and is much less common
43
DSP Data Path Overflow Handling
DSP ISA Feature
  • DSP are descended from analog signal processors
  • Modulo Arithmetic.
  • Set to most positive (2N11) or most negative
    value(2N1) saturation
  • Many DSP algorithms were developed in this model.

2N11
Saturation
Why Support?
Due to physical nature of signals
2N1
Saturation
44
DSP Data Path Specialized Hardware
DSP Architectural Features
  • Fast specialized hardware functional units
    performs all key arithmetic operations in 1
    cycle, including
  • Shifters
  • Saturation
  • Guard bits
  • Rounding modes
  • Multiplication/addition (MAC)
  • 50 of instructions can involve multipliergt
    single cycle latency multiplier
  • Need to perform multiply-accumulate (MAC) fast
  • n-bit multiplier gt 2n-bit product

To help meet real-time constraints for commonly
needed operations
i.e. must optimize common operations
45
DSP Data Path Multiply Accumulate (MAC) Unit
One or more MAC units
  • Dont want overflow or have to scale accumulator
  • Option 1 accumalator wider than product guard
    bits
  • Motorola DSP 24b x 24b gt 48b product, 56b
    Accumulator
  • Option 2 shift right and round product before
    adder


MAC Unit
add
add
46
DSP Data Path Rounding Modes
  • Even with guard bits, will need to round when
    storing accumulator into memory
  • 3 DSP standard options (supported in hardware)
  • Truncation chop resultsgt biases results up
  • Round to nearest lt 1/2 round down,
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