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Chapter 15: Arithmetic Library
Sum of Products
The Sum of Products block implements the following expression:
q = a (0) C0 + ... + a ( i ) Ci + ... + a ( n-1 ) C n-1
where:
15–37
■
■
■
■
q is the output result
a ( i ) is the signed integer input data
Ci are the signed integer fixed coefficients
n is the number of coefficients in the range one to eight
Table 15–56 shows the Sum of Products block inputs and outputs.
Table 15–56. Sum of Products Block Inputs and Outputs
Signal
a(0) to a(n–1)
ena
aclr
q
Direction
Input
Input
Input
Output
Description
1 to 8 ports corresponding to the signed integer fixed coefficient
values specified in the block parameters.
Optional clock enable.
Optional asynchronous clear.
Result.
Table 15–57 lists the parameters for the Sum of Products block.
Table 15–57. Sum of Products Block Parameters
Name
Input Data Number of
Bits
Number of
Coefficients
Coefficients Number
of Bits
Signed Integer
Fixed-Coefficient
Values
Number of Pipeline
Stages
Full Resolution for
Output Result
Output Number of Bits
Output Truncated LSB
Value
>= 0
(Parameterizable)
1–8
>= 1
(Parameterizable)
Vector
(Parameterizable)
>= 0
(Parameterizable)
On or Off
>= 0
(Parameterizable)
>= 0
(Parameterizable)
Description
Specify the number of bits to the left of the binary point of all input
signals.
The number of coefficients.
Specify the number of bits to the left of the binary point of all non-variable
coefficients represented as a signed integer.
Specify the coefficient values for each port as a sequence of signed
integers.
For example: [-587 -844 -678 -100 367 362 71 -244]
Specify the number of pipeline stages.
When on, the multiplier output bit width is full resolution. When off, you
can specify the number of bits in the output signal and the number of
least significant bits (LSBs) truncated from the output signal.
Specify the number of bits in the output signal.
Specify the number of LSBs to be truncated from the output signal.
November 2013
Altera Corporation
DSP Builder Handbook
Volume 2: DSP Builder Standard Blockset
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