fixed point multiplier in VHDL

[Viswan]

hi,

I have to design a processor in VHDL which does various
multiplications and divisions to find a result which is a real number.
As it is a hand held low power device I decided to use fixed point
arithmetic for all the arithmetic operations involved in the design of
the processor.

I would like to know the best way to design the low power processor in
VHDL. How could I implement fixed point multiplication and division
in VHDL? Can I use * operator? Or is it better to use some other
algorithms for multiplications for low power processor?

Any help in this issue is greatly appreciated.

Thanks

 

[Mike Treseler]

I would like to know the best way to design the low power processor in
VHDL.

1. Write code.
2. Sim code.
3. Select device
4. Synth code.

How could I implement fixed point multiplication and division
in VHDL? Can I use * operator?

Yes.
Consider using the IEEE.NUMERIC_STD library and work with vectors
(type SIGNED or UNSIGNED) that are any size you like.

Or is it better to use some other
algorithms for multiplications for low power processor?

Let the synth have a go at it first.

-- Mike Treseler

 

[Jez Smith]

hi,

I have to design a processor in VHDL which does various
multiplications and divisions to find a result which is a real number.
As it is a hand held low power device I decided to use fixed point
arithmetic for all the arithmetic operations involved in the design of
the processor.

I would like to know the best way to design the low power processor in
VHDL. How could I implement fixed point multiplication and division
in VHDL? Can I use * operator? Or is it better to use some other
algorithms for multiplications for low power processor?

Any help in this issue is greatly appreciated.

Thanks

It all depends on how fast you want to produce the results of your
multiplication,you could use the standard '*' operator and run the clock
very slowly.we really need more information.

 

[Jeroen]

hi,

I have to design a processor in VHDL which does various
multiplications and divisions to find a result which is a real number.
As it is a hand held low power device I decided to use fixed point
arithmetic for all the arithmetic operations involved in the design of
the processor.

I would like to know the best way to design the low power processor in
VHDL. How could I implement fixed point multiplication and division
in VHDL? Can I use * operator? Or is it better to use some other
algorithms for multiplications for low power processor?

Any help in this issue is greatly appreciated.

you could enter something like 'multiplier fpga' in Google and enough hits
come up that should point you in the right direction.

Jeroen

 

[Ralf Hildebrandt]

Viswan wrote:

I would like to know the best way to design the low power processor in
VHDL. How could I implement fixed point multiplication and division
in VHDL? Can I use * operator? Or is it better to use some other
algorithms for multiplications for low power processor?

First, you should implement everthing with the simple * operator. If it
does not fit your constraints, you should look for different algorithms.

Often synthesis tools implement Carry-Save-Arrays (simplest), Wallace
Trees or Booth-Wallace-Trees. (Synopsys DesignWare(Foundation): CSA,
NBW, WALL) All these Variants are quite good in terms of power are and
speed - if you choose area-optimisazion for synthesis.

Faster than a CSA is a LeapfrogCSA (LFCSA) with similar structure.

Speed mosty depends on the final Carry Propagate Adder (CPA). A
Carry-Ribble-Adder is very slow, but has for low bitwidths (e.g. 16*16
Bits) often the lowest power.
Much faster and only a little bit worse than CRA in therms of power are
fast adders, like CLA, CSA... (let the synthesis build them - doing it
manually with algorithms like GEF (generalized earliest first) leads to
a little bit slower results, but mostly a little bit smaller area - a
too small improvement).

Forget SignedDigit multipliers as a replacement for standart multipliers
for low to medium bitwidths. They are much bigger, slower and consume
more power than standart multipliers. But think about them, if your
complete signal path fits SignedDigit arithmetic.


Ralf

 

[Sandeep]

You could also use the '*' operator and provide extra pipeline stages
at the output of the multiply and some synthesis tools (for e.g
Synplify) will use the registers to implement a pipelined multiplier
rather than pure combinatorial logic with delays at the output. You
could control the pipeline for the speed of operation you need.

Sandeep

 

[Ray Andraka]

You don't provide nearly enough information. An AND gate is a 1 bit by 1
bit fixed point multiply. It also depends on your target technology, how
many clocks per product you have to work with, among other things. For
small multiplies, a look-up table might be best. For larger ones there
are many approaches, not all of which are appropriate for all
technologies.

hi,

I have to design a processor in VHDL which does various
multiplications and divisions to find a result which is a real number.
As it is a hand held low power device I decided to use fixed point
arithmetic for all the arithmetic operations involved in the design of
the processor.

I would like to know the best way to design the low power processor in
VHDL. How could I implement fixed point multiplication and division
in VHDL? Can I use * operator? Or is it better to use some other
algorithms for multiplications for low power processor?

Any help in this issue is greatly appreciated.

Thanks

--
--Ray Andraka, P.E.
President, the Andraka Consulting Group, Inc.
401/884-7930 Fax 401/884-7950
email (e-mail address removed)
http://www.andraka.com

"They that give up essential liberty to obtain a little
temporary safety deserve neither liberty nor safety."
-Benjamin Franklin, 1759

 

[Viswan]

Thanks for responding.

I have to design a processor that can be used in a hand held device. I
have to develop a code and synthesize it on to FPGA. As I told already
my design involves many multiplications, divisions, additions and
substratctions. As all those are real numbers, an integer arithmetic
unit is not sufficient. So I decided to use either fixed point
arithmetic or floating point arithmetic. I had a problem in finding
out which arithmetic is best suited for low power applications. I
assumed fixed point arithmetic is better as it uses low complex data
path. I would like to know how it could be implemented for real
numbers in VHDL.

I have another question. Is the core generated arithmetic circuits (
optimised for area) are useful for these kind of applications? I
really donot have any idea regarding all these as I am new to VHDL.

Thanks a lot for your suggestions
Viswan

 

[Mike Treseler]

I have another question. Is the core generated arithmetic circuits (
optimised for area) are useful for these kind of applications? I
really donot have any idea regarding all these as I am new to VHDL.

Some devices have canned multiplier blocks. Some don't.
Some synthesizers work better than others.
Vendor-specific cores are harder to simulate than synth code.
Try it both ways and decide for yourself.

-- Mike Treseler

 

[Ray Andraka]

You need to do a numerical analysis of your design to determine things like dynamic range, scaling
at each node in your process, and required precision. For problems with a small dynamic range, it
doesn't make sense to use floating point. Applications that need a large dynamic range may benefit
from less hardware by using floating point. You'll also want to examine the algorithm carefully to
see if there are any rearrangements or alternative approaches to reduce the amount of division
operations, and possibly the same for multiplication. Division is both time and resource intensive
to implement in hardware. Above all, remember that VHDL is a hardware description language, not a
programming language. To be successful, you should visualize the hardware required to address your
application, then write the VHDL to describe that hardware. A common mistake is to write your VHDL
as if it were a programming language with no thought as to what the resulting hardware looks like.

Thanks for responding.

I have to design a processor that can be used in a hand held device. I
have to develop a code and synthesize it on to FPGA. As I told already
my design involves many multiplications, divisions, additions and
substratctions. As all those are real numbers, an integer arithmetic
unit is not sufficient. So I decided to use either fixed point
arithmetic or floating point arithmetic. I had a problem in finding
out which arithmetic is best suited for low power applications. I
assumed fixed point arithmetic is better as it uses low complex data
path. I would like to know how it could be implemented for real
numbers in VHDL.

I have another question. Is the core generated arithmetic circuits (
optimised for area) are useful for these kind of applications? I
really donot have any idea regarding all these as I am new to VHDL.

Thanks a lot for your suggestions
Viswan

--
--Ray Andraka, P.E.
President, the Andraka Consulting Group, Inc.
401/884-7930 Fax 401/884-7950
email (e-mail address removed)
http://www.andraka.com

"They that give up essential liberty to obtain a little
temporary safety deserve neither liberty nor safety."
-Benjamin Franklin, 1759