Abstract: Encoding data into constrained memory using a method for writing data that includes receiving write data to be encoded into a write word, receiving constraints on symbol values associated with the write word, encoding the write data into the write word, and writing the write word to a memory. The encoding includes: representing the write data and the constraints as a first linear system in a first field of a first size; embedding the first linear system into a second linear system in a second field of a second size, the second size larger than the first size; solving the second linear system in the second field resulting in a solution; and collapsing the solution into the first field resulting in the write word, the write word satisfying the constraints on symbol values associated with the write word.

Abstract: Providing increased capacity in heterogeneous storage elements including a method for storing data including a write process writing to a memory and a read process reading from the memory. Physical characteristics of memory cells in the memory support different sets of data levels. The write process takes into account the different sets of data levels when writing to the memory. The read process first obtains data in the memory and subsequently determines how to interpret the data.

Abstract: Providing increased capacity in heterogeneous storage elements including a method for reading from memory. The method includes receiving a read word from a block of memory cells, where physical characteristics of the memory cells support different sets of data levels. The read word is separated into two or more virtual read vectors. For each of the virtual read vectors, the codebook that was utilized to generate the virtual read vector is identified and a partial read data vector is generated. The generating includes multiplying the virtual read vector by a matrix that represents the codebook. The partial read data vectors are combined into a read message and the read message is output.

Abstract: Providing increased capacity in heterogeneous storage elements including a method for storing data in a heterogeneous memory that includes receiving a write message and a write address corresponding to a block of memory cells where at least two of the memory cells support different data levels, determining physical characteristics of the memory cells, and identifying virtual memories associated with the block of memory cells in response to the physical characteristics. The following is performed for each of the virtual memories: generating a constraint vector that describes the virtual cells in the virtual memory; and calculating a virtual write vector in response to the constraint vector and the write data, the calculating including writing the write data, bit by bit, in order, into the virtual memory, skipping locations known to be stuck to a particular value as indicated by the constraint vector.

Abstract: Techniques for writing to memory using adaptive write techniques. An adaptive write technique includes receiving at a computer a message including a plurality of symbols. The message is written to a memory. The writing to memory includes performing for each symbol in the message: writing a data value to a memory location in the memory and reading contents of the memory location after the data value has been written. The data value is determined at the computer in response to the symbol and to the contents of any memory locations previously read as part of writing the message to the memory. It is determined at the computer if the contents of the memory locations reflect the message. The writing is restarted at the computer in response to determining that the contents of the memory locations do not reflect the message.

Abstract: Error correction in not-and (NAND) flash memory including a system for retrieving data from memory. The system includes a decoder in communication with a memory. The decoder is for performing a method that includes receiving a codeword stored on a page in the memory, the codeword including data and first-tier check symbols that are generated in response to the data. The method further includes determining that the codeword includes errors that cannot be corrected using the first-tier check symbols, and in response second-tier check symbols are received. The second-tier check symbols are generated in response to receiving the data and to the contents of other pages in the memory that were written prior to the page containing the codeword. The codeword is corrected in response to the second-tier check symbols. The corrected codeword is output.

Abstract: Selecting bins in a memory by receiving a target cost for performing writes at an analog memory that is capable of storing a range of values. Possible bins that may be created in the range of values and a cost associated with each possible bin are determined. Each possible bin includes one or more of the values. A group of bins are identified, the group of bins are among the possible bins with associated costs that are within a threshold of the target cost. A maximum number of bins are selected from the group of bins that have non-overlapping values. The selected bins are stored along with the values of the selected bins utilized to encode and decode contents of the analog memory.

Abstract: Enhanced write performance for non-volatile memories including a memory system that includes a receiver for receiving a data rate of a data sequence to be written to a non-volatile flash memory device. The memory system also includes a physical page selector for selecting a physical address of an invalid previously written memory page from a group of physical addresses of invalid previously written memory pages located on the non-volatile memory device, and for determining if the number of free bits in the invalid previously written memory page at the selected physical address is greater than or equal to the data rate. The memory system also includes a transmitter for outputting the selected physical address of the invalid previously written memory page, the outputting in response to the physical page selector determining that the number of free bits is greater than or equal to the data rate.

Abstract: A method for writing in a memory system that includes receiving an address corresponding to a memory location in a memory, receiving a desired content to be written, encoding the desired content into a symbol, and writing the symbol to the memory location using an iterative write process of at least one write and one read to the memory location. The iterative write process includes determining if the symbol was successfully written to the memory location and exiting the iterative write process in response to the symbol being successfully written to the memory location. The iterative write process also includes determining if a halt condition has been met and exiting the iterative write process if the halt condition has been met. Once the iterative write process has been exited, the memory location may be identified as a candidate for being written with a special symbol.

Abstract: An analog memory having adjustable write bins including a system for writing to the memory. The system includes a write apparatus interpreting one or more write control signals, generating a write signal, and applying the write signal at a selected memory location to store a desired content. The selected memory location is subject to data dependent noise and is capable of storing a range of values grouped into “n” bins configured such that the average cost to write to at least “n-1” of the bins is within a threshold of a target cost for the selected analog memory location. The system also includes a read apparatus. The system further includes write control circuitry that includes a write signal selector selecting the one or more write control signals responsive to the desired content, current content of the selected memory location, and a bin associated with the desired content.

Abstract: Encoding data into constrained memory using a method for writing data that includes receiving write data to be encoded into a write word, receiving constraints on symbol values associated with the write word, encoding the write data into the write word, and writing the write word to a memory. The encoding includes: representing the write data and the constraints as a first linear system in a first field of a first size; embedding the first linear system into a second linear system in a second field of a second size, the second size larger than the first size; solving the second linear system in the second field resulting in a solution; and collapsing the solution into the first field resulting in the write word, the write word satisfying the constraints on symbol values associated with the write word.

Abstract: Constrained coding to reduce floating gate coupling in non-volatile memories including a method for storing data. The method includes receiving write data to be written to a flash memory device, selecting a codeword in response to the write data, and writing the codeword to the flash memory device. The codeword is selected to reduce floating gate coupling in the flash memory device by preventing specified symbol patterns from occurring in the codeword.

Abstract: Systems, methods, and devices for iteratively writing contents to memory locations are provided. A statistical model is used to determine a sequence of pulses to write desired contents to a memory location. The contents can be expressed as a resistance value in a range to store one or more bits in a memory cell. For phase change memory, an adaptive reset pulse and one or more annealing pulses are selected based on a desired resistance range. Reading the resistance value of the memory cell can provide feedback to determine adjustments in an overall pulse application strategy. The statistical model and a look up table can be used to select and modify pulses. Adaptively updating the statistical model and look up table may reduce the number of looping iterations to shift the resistance value of the memory cell into the desired resistance range.

Abstract: Systems, methods, and devices for iteratively writing contents to memory locations are provided. A statistical model is used to determine a sequence of pulses to write desired contents to a memory location. The contents can be expressed as a resistance value in a range to store one or more bits in a memory cell. For phase change memory, an adaptive reset pulse and one or more annealing pulses are selected based on a desired resistance range. Reading the resistance value of the memory cell can provide feedback to determine adjustments in an overall pulse application strategy. The statistical model and a look up table can be used to select and modify pulses. Adaptively updating the statistical model and look up table may reduce the number of looping iterations to shift the resistance value of the memory cell into the desired resistance range.

Abstract: Enhanced write performance for non-volatile memories including a memory system that includes a receiver for receiving a data rate of a data sequence to be written to a non-volatile flash memory device. The memory system also includes a physical page selector for selecting a physical address of an invalid previously written memory page from a group of physical addresses of invalid previously written memory pages located on the non-volatile memory device, and for determining if the number of free bits in the invalid previously written memory page at the selected physical address is greater than or equal to the data rate. The memory system also includes a transmitter for outputting the selected physical address of the invalid previously written memory page, the outputting in response to the physical page selector determining that the number of free bits is greater than or equal to the data rate.

Abstract: Techniques for writing to memory using adaptive write techniques. An adaptive write technique includes receiving at a computer a message including a plurality of symbols. The message is written to a memory. The writing to memory includes performing for each symbol in the message: writing a data value to a memory location in the memory and reading contents of the memory location after the data value has been written. The data value is determined at the computer in response to the symbol and to the contents of any memory locations previously read as part of writing the message to the memory. It is determined at the computer if the contents of the memory locations reflect the message. The writing is restarted at the computer in response to determining that the contents of the memory locations do not reflect the message.

Abstract: Techniques for writing to memory using shared address buses. A memory device that includes a plurality of memory arrays connected to a common address bus, the common address bus used to broadcast memory addresses simultaneously to the plurality of memory arrays. Each memory array includes a plurality of memory locations and circuitry for: receiving the broadcasted memory addresses from the address bus; selecting a memory address in the memory array from a list of most recent memory addresses received from the address bus; and performing a memory access at the selected memory address, such that at a given point in time at least two of the memory arrays perform the memory access at a different broadcasted address when the memory access is a write.

Abstract: An analog memory having adjustable write bins including a system for writing to the memory. The system includes a write apparatus interpreting one or more write control signals, generating a write signal, and applying the write signal at a selected memory location to store a desired content. The selected memory location is subject to data dependent noise and is capable of storing a range of values grouped into “n” bins configured such that the average cost to write to at least “n-1” of the bins is within a threshold of a target cost for the selected analog memory location. The system also includes a read apparatus. The system further includes write control circuitry that includes a write signal selector selecting the one or more write control signals responsive to the desired content, current content of the selected memory location, and a bin associated with the desired content.

Abstract: Providing increased capacity in heterogeneous storage elements including a method for storing data including a write process writing to a memory and a read process reading from the memory. Physical characteristics of memory cells in the memory support different sets of data levels. The write process takes into account the different sets of data levels when writing to the memory. The read process first obtains data in the memory and subsequently determines how to interpret the data.

Abstract: Systems, methods, and devices for iteratively writing contents to memory locations are provided. A statistical model is used to determine a sequence of pulses to write desired contents to a memory location. The contents can be expressed as a resistance value in a range to store one or more bits in a memory cell. For phase change memory, an adaptive reset pulse and one or more annealing pulses are selected based on a desired resistance range. Reading the resistance value of the memory cell can provide feedback to determine adjustments in an overall pulse application strategy. The statistical model and a look up table can be used to select and modify pulses. Adaptively updating the statistical model and look up table may reduce the number of looping iterations to shift the resistance value of the memory cell into the desired resistance range.