DSPIC33FJ128GP706A-I/MR Microchip Technology, DSPIC33FJ128GP706A-I/MR Datasheet - Page 82

• Manufacturer Part Number: DSPIC33FJ128GP706A-I/MR
• Description: IC DSPIC MCU/DSP 128K 64-QFN
• Manufacturer: Microchip Technology
• Series: dsPIC™ 33Fr

Specifications of DSPIC33FJ128GP706A-I/MR

• Core Processor: dsPIC
• Core Size: 16-Bit
• Speed: 40 MIPs
• Connectivity: CAN, I²C, IrDA, LIN, SPI, UART/USART
• Peripherals: AC'97, Brown-out Detect/Reset, DMA, I²S, POR, PWM, WDT
• Number Of I /o: 53
• Program Memory Size: 128KB (128K x 8)
• Program Memory Type: FLASH
• Ram Size: 16K x 8
• Voltage - Supply (vcc/vdd): 3 V ~ 3.6 V
• Data Converters: A/D 18x10b/12b
• Oscillator Type: Internal
• Operating Temperature: -40°C ~ 85°C
• Package / Case: 64-VFQFN, Exposed Pad
• Product: DSCs
• Processor Series: DSPIC33F
• Core: dsPIC
• 3rd Party Development Tools: 52713-733, 52714-737, 53276-922, EWDSPIC
• Development Tools By Supplier: PG164130, DV164035, DV244005, DV164005, PG164120, DM240001, DV164033
• Core Frequency: 40MHz
• Core Supply Voltage: 3.3V
• Embedded Interface Type: I2C, SPI, UART
• No. Of I/o's: 53
• Flash Memory Size: 128KB
• Supply Voltage Range: 3V To 3.6V
• Rohs Compliant: No
• Lead Free Status / RoHS Status: Lead free / RoHS Compliant
• Eeprom Size: -
• Lead Free Status / Rohs Status: Lead free / RoHS Compliant

MCP3909 / dsPIC33F 3-Phase Energy Meter Reference Design
C.3
DS51723A-page 82
THE HARMONIC ANALYSIS ALGORITHM OF QUASI-SYNCHRONOUS
SAMPLING
Periodic signal can be expressed as trigonometric Fourier series or exponential Fourier
series. A periodic signal with a period of T can be expressed as :
EQUATION C-11:
where:
EQUATION C-12:
EQUATION C-13:
or as:
EQUATION C-14:
where the relationship between a
EQUATION C-15:
EQUATION C-16:
EQUATION C-17:
f t ( )
=
f t ( )
α
------ -
2
0
+
a
=
k
k
b
∑
k
∞
=
a
=
k
0
=
, b
1
+
-- -
T
(
2
α
-- -
T
2
k
c
k
⋅
a
k
ϕ
∑
， c
k
T
∫
0
∞
=
⋅
k
cos
k
f t ( )
T
∫
0
=
1
=
f t ( )
=
c
(
k
k
k
c
⋅
sin
and ϕ
atan
⋅
a
k
cos
⋅
ω
2
k
sin
sin
(
+
⋅
k
t
(
a
---- -
b
ϕ
)
k
(
⋅
b
k
k
k
k
+
ω
k
2
k
⋅
⋅
ω
is:
β
⋅
ω
cos
t
⋅
⋅
+
t
)dt
t
(
)
ϕ
k
dt
k
⋅
)
ω
⋅
© 2009 Microchip Technology Inc.
t
)
)