EP1S80B956C7N Altera, EP1S80B956C7N Datasheet - Page 631

• Manufacturer Part Number: EP1S80B956C7N
• Description: IC STRATIX FPGA 80K LE 956-BGA
• Manufacturer: Altera
• Series: Stratix®r

Specifications of EP1S80B956C7N

• Number Of Logic Elements/cells: 79040
• Number Of Labs/clbs: 7904
• Total Ram Bits: 7427520
• Number Of I /o: 683
• Voltage - Supply: 1.425 V ~ 1.575 V
• Mounting Type: Surface Mount
• Operating Temperature: 0°C ~ 85°C
• Package / Case: 956-BGA
• Lead Free Status / RoHS Status: Lead free / RoHS Compliant
• Number Of Gates: -

Altera Corporation
September 2004
Implementing High Performance DSP Functions in Stratix & Stratix GX Devices
For 1-D with input data x(n) of size N, the DCT coefficients Y(k) are:
where:
For 2-D with input data x(m,n) of size N
output image, Y(p,q) are:
where:
2-D DCT Algorithm
The 2-D DCT can be thought of as an extended 1-D DCT applied twice;
once in the x direction and again in the y direction. Because the 2-D DCT
is a separable transform, it is possible to calculate it using efficient 1-D
algorithms.
Y p q
Y k
k
k
p
q
p
q
=
=
=
=
=
=
=
=
---------------------- -
Figure 7–32
---------- -
p
--- -
N
--- -
N
--- -
N
--- -
N
--- -
N
--- -
N
1
2
1
1
2
2
2
2
k
N 1
n
q
for k = 0
for 1
for p = 0
for q = 0
for 1
for 1
=
–
m
0
N 1
x n
–
=
0
illustrates the concept of a separable transform.
N 1
n
k
p
q
cos
=
–
0
x m n
N –1
N –1
N–1
-------------------------- -
2n
2N
+
1
cos
Stratix Device Handbook, Volume 2
k
---------------------------- -
N, the DCT coefficients for the
2m
for 0
2N
+
1
p
k
cos
N–1
-------------------------- -
2n
2N
+
1
q
7–53