Double data rate
In computing, a computer bus operating with double data rate (DDR) transfers data on both the rising and falling edges of the clock signal.  This is also known as double pumped, dual-pumped, and double transition.  The term toggle mode is used in the context of NAND flash memory.

Overview
The simplest way to design a clocked electronic circuit is to make it perform one transfer per full cycle (rise and fall) of a clock signal.  This, however, requires that the clock signal changes twice per transfer, while the data lines change at most once per transfer.  When operating at a high bandwidth, signal integrity limitations constrain the clock frequency.  By using both edges of the clock, the data signals operate with the same limiting frequency, thereby doubling the data transmission rate.

This technique has been used for microprocessor front-side busses, Ultra-3 SCSI, expansion buses (AGP, PCI-X), graphics memory (GDDR), main memory (both RDRAM and DDR1 through DDR5), and the HyperTransport bus on AMD's Athlon 64 processors. It is more recently being used for other systems with high data transfer speed requirements as an example, for the output of analog-to-digital converters (ADCs).

DDR should not be confused with dual channel, in which each memory channel accesses two RAM modules simultaneously. The two technologies are independent of each other and many motherboards use both, by using DDR memory in a dual channel configuration.

An alternative to double or quad pumping is to make the link self-clocking. This tactic was chosen by InfiniBand and PCI Express.

Relation of bandwidth and frequency 
Describing the bandwidth of a double-pumped bus can be confusing.  Each clock edge is referred to as a beat, with two beats (one upbeat and one downbeat) per cycle.  Technically, the hertz is a unit of cycles per second, but many people refer to the number of transfers per second.  Careful usage generally talks about "500 MHz, double data rate" or "1000 MT/s", but many refer casually to a "1000 MHz bus," even though no signal cycles faster than 500 MHz.

DDR SDRAM popularized the technique of referring to the bus bandwidth in megabytes per second, the product of the transfer rate and the bus width in bytes.  DDR SDRAM operating with a 100 MHz clock is called DDR-200 (after its 200 MT/s data transfer rate), and a 64-bit (8-byte) wide DIMM operated at that data rate is called PC-1600, after its 1600 MB/s peak (theoretical) bandwidth.  Likewise, 1.6 GT/s transfer rate DDR3-1600 is called PC3-12800.

Some examples of popular designations of DDR modules:

DDR SDRAM uses double-data-rate signalling only on the data lines. Address and control signals are still sent to the DRAM once per clock cycle (to be precise, on the rising edge of the clock), and timing parameters such as CAS latency are specified in clock cycles. Some less common DRAM interfaces, notably LPDDR2, GDDR5 and XDR DRAM, send commands and addresses using double data rate.  DDR5 uses two 7-bit double data rate command/address buses to each DIMM, where a registered clock driver chip converts to a 14-bit SDR bus to each memory chip.

See also 
 DDR SDRAM, DDR2 SDRAM, DDR3 SDRAM, DDR4 SDRAM and DDR5 SDRAM
 GDDR SDRAM, GDDR3 SDRAM, GDDR4 SDRAM, GDDR5 SDRAM and GDDR6 SDRAM
 List of device bit rates
 Pumping (computer systems)
 Quad data rate

References 

Digital electronics
Clock signal