EP1S80B956C7N Altera, EP1S80B956C7N Datasheet - Page 637

• 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: -

Arithmetic
Functions
Altera Corporation
September 2004
Implementing High Performance DSP Functions in Stratix & Stratix GX Devices
Arithmetic functions, such as trigonometric functions, including sine,
cosine, magnitude and phase calculation, are important DSP elements.
This section discusses the implementation of a simple vector magnitude
function in a Stratix device.
Background
Complex numbers can be expressed in two parts: real and imaginary.
where:
In a two-dimensional plane, a vector (a,b) with reference to the origin
(0,0) can also be represented as a complex number. In essence, the x-axis
represents the real part, and the y-axis represents the imaginary part (see
Figure
Figure 7–37. Magnitude of Vector (a,b)
Complex numbers can be converted to phase and amplitude or
magnitude representation, using a Cartesian-to-polar coordinate
conversion. For a vector (a,b), the phase and magnitude representation is
the following:
a is the real part
b is the imaginary part
j
z
2
= –1
=
7–37).
a
+
jb
Stratix Device Handbook, Volume 2
7–59