EP1S20F780I6N Altera, EP1S20F780I6N Datasheet - Page 631

• Manufacturer Part Number: EP1S20F780I6N
• Description: IC STRATIX FPGA 20K LE 780-FBGA
• Manufacturer: Altera
• Series: Stratix®r

Specifications of EP1S20F780I6N

• Number Of Logic Elements/cells: 18460
• Number Of Labs/clbs: 1846
• Total Ram Bits: 1669248
• Number Of I /o: 586
• Voltage - Supply: 1.425 V ~ 1.575 V
• Mounting Type: Surface Mount
• Operating Temperature: -40°C ~ 100°C
• Package / Case: 780-FBGA
• Family Name: Stratix
• Number Of Logic Blocks/elements: 18460
• # I/os (max): 586
• Frequency (max): 450.05MHz
• Process Technology: 0.13um (CMOS)
• Operating Supply Voltage (typ): 1.5V
• Logic Cells: 18460
• Ram Bits: 1669248
• Operating Supply Voltage (min): 1.425V
• Operating Supply Voltage (max): 1.575V
• Operating Temp Range: -40C to 100C
• Operating Temperature Classification: Industrial
• Mounting: Surface Mount
• Pin Count: 780
• Package Type: FC-FBGA
• Lead Free Status / RoHS Status: Lead free / RoHS Compliant
• Number Of Gates: -
• Lead Free Status / Rohs Status: Compliant

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