Abstract: A positive electrode for a lithium secondary battery includes a first positive electrode active material layer on the current collector and_a second positive electrode active material layer on the first positive electrode active material layer. The second positive electrode active material layer includes bimodal positive electrode active materials including positive electrode active material secondary macroparticles and secondary microparticles having different average particle sizes to allow sufficiently high rolling pressure when manufacturing the electrode. The first positive electrode active material in the first positive electrode active material layer interposed between the current collector and the second positive electrode active material layer has the positive electrode active material particles less vulnerable to cracking.

Abstract: Disclosed are a semiconductor memory device, a controller, a memory system, and an operation method thereof. The semiconductor memory device includes a memory cell array including a plurality of memory cells, and an error correcting code (ECC) decoder configured to receive first data and a parity output from selected memory cells of the memory cell array. The ECC decoder generates a syndrome based on the first data and the parity, generates a decoding status flag (DSF) indicating a type of an error of the first data by the syndrome, and outputs the second data and the DSF to an external device outside of the semiconductor memory device when a read operation of the semiconductor memory device is performed.

Abstract: An error correction code (ECC) circuit of a semiconductor memory device includes a syndrome generation circuit and a correction circuit. The syndrome generation circuit generates syndrome based on a message and first parity bits in a codeword read from a memory cell array by using one of a first parity check matrix and a second parity check matrix, in response to a decoding mode signal. The correction circuit receives the codeword, corrects at least a portion of (t1+t2) error bits in the codeword based on the syndrome and outputs a corrected message. Here, t1 and t2 are natural numbers, respectively.

Abstract: Disclosed are a semiconductor memory device, a controller, a memory system, and an operation method thereof. The semiconductor memory device includes a memory cell array including a plurality of memory cells, and an error correcting code (ECC) decoder configured to receive first data and a parity output from selected memory cells of the memory cell array. The ECC decoder generates a syndrome based on the first data and the parity, generates a decoding status flag (DSF) indicating a type of an error of the first data by the syndrome, and outputs the second data and the DSF to an external device outside of the semiconductor memory device when a read operation of the semiconductor memory device is performed.

Abstract: An error correction code (ECC) decoder of a semiconductor memory device is provided. The ECC decoder includes an ECC checker, a syndrome generator, and an error detection/correction circuit. The ECC checker generates characteristic information representing first error information associated with message bits in an input codeword that is read from a target page in a memory cell array. The syndrome generator outputs a syndrome vector representing second error information associated with the input codeword by performing an operation on the message bits and parity bits in the input codeword based on a parity check matrix. The an error detection/correction circuit generates a transmission codeword by selectively correcting an error bit in the input codeword based on the characteristic information and the syndrome vector, generates a flag signal indicating whether the transmission codeword includes an error bit, and outputs a transmission message based on the transmission codeword.

Abstract: Disclosed are a semiconductor memory device, a controller, and a memory system. The semiconductor memory device includes a memory cell array including a plurality of memory cells, and an error correcting code (ECC) decoder configured to receive first data and a parity output from selected memory cells of the memory cell array. The ECC decoder generates a syndrome based on the first data and the parity, generates a decoding status flag (DSF) indicating a type of an error of the first data by the syndrome, and outputs the second data and the DSF to an external device outside of the semiconductor memory device when a read operation of the semiconductor memory device is performed.

Abstract: In an aspect of the present invention, it is disclosed a method for receiving a signal in integer-forcing (IF) Multiple-Input Multiple-Output (MIMO) system. The method includes receiving a plurality of reception signal vectors through a plurality of channels, performing an equalization for the plurality of reception signal vectors, performing a decoding for the plurality of reception signals in which the equalization is performed using a plurality of different reversible integer matrixes, and reconstructing a transmission signal from the reception signal in which the decoding is performed.

Abstract: An error correction code (ECC) circuit of a semiconductor memory device includes a syndrome generation circuit and a correction circuit. The syndrome generation circuit generates syndrome based on a message and first parity bits in a codeword read from a memory cell array by using one of a first parity check matrix and a second parity check matrix, in response to a decoding mode signal. The correction circuit receives the codeword, corrects at least a portion of (t1+t2) error bits in the codeword based on the syndrome and outputs a corrected message. Here, t1 and t2 are natural numbers, respectively.

Abstract: An error correction code (ECC) decoder of a semiconductor memory device is provided. The ECC decoder includes an ECC checker, a syndrome generator, and an error detection/correction circuit. The ECC checker generates characteristic information representing first error information associated with message bits in an input codeword that is read from a target page in a memory cell array. The syndrome generator outputs a syndrome vector representing second error information associated with the input codeword by performing an operation on the message bits and parity bits in the input codeword based on a parity check matrix. The an error detection/correction circuit generates a transmission codeword by selectively correcting an error bit in the input codeword based on the characteristic information and the syndrome vector, generates a flag signal indicating whether the transmission codeword includes an error bit, and outputs a transmission message based on the transmission codeword.

Abstract: Disclosed are a semiconductor memory device, a controller, and a memory system. The semiconductor memory device includes a memory cell array including a plurality of memory cells, and an error correcting code (ECC) decoder configured to receive first data and a parity output from selected memory cells of the memory cell array. The ECC decoder generates a syndrome based on the first data and the parity, generates a decoding status flag (DSF) indicating a type of an error of the first data by the syndrome, and outputs the second data and the DSF to an external device outside of the semiconductor memory device when a read operation of the semiconductor memory device is performed.

Abstract: In an aspect of the present invention, it is disclosed a method for receiving a signal in integer-forcing (IF) Multiple-Input Multiple-Output (MIMO) system. The method includes receiving a plurality of reception signal vectors through a plurality of channels, performing an equalization for the plurality of reception signal vectors, performing a decoding for the plurality of reception signals in which the equalization is performed using a plurality of different reversible integer matrixes, and reconstructing a transmission signal from the reception signal in which the decoding is performed.

Abstract: The present invention relates to a digital audio amplification device using harmonics and a method thereof, and more specifically, the invention differentially generates characteristics of harmonics (for instance, amplitude or frequency components of harmonics) of an audio signal in order to compensate the audio signal that exceeds a preset threshold value according to the amplitude and characteristics of the audio signal, if the audio signal exceeds the preset threshold value, thereby easily improving the amplitude and the pitch of audio during digital audio amplification.