Abstract: A class of n×l nonlinear block codes, termed Go-CDMA codes are constructed using column-reduced and row-reduced Hadamard orthogonal matrices, termed Go-CDMA matrices. Here n,l are positive integers: n chips of user data are transmitted in frames of size l??n, where ? is the frame expansion factor. The codes map n-vectors containing binary message data to binary or multi-level l-vectors for transmission, where l?n. The codes are invertible maps for the binary message data, and when there is no message data in some input vector elements, and noise added between the coding and decoding, there is some error correction. The coding uses integer arithmetic and integer quantization operations, preferably certain sign operations. Go-CDMA codes may be implemented in CDMA communication systems to improve performance on many measures over conventional CDMA and TDMA systems. The coding and decoding may include scrambling and descrambling the Go-CDMA coded signal based on random codes.

Abstract: A method and apparatus for optimizing signal detection, multiplexing and de-multiplexing with error correction coding, artificial neural network signal processing, and combination of linear and non-linear coding/decoding scheme is disclosed which is only possible with the disclosure of the method to completely derive the multinomial representation of hard threshold non-linear summation functions of arbitrary binary inputs. The method of deriving the complete multinomial representation of these hard threshold non-linear summation functions of arbitrary binary inputs are not previously known and the ability to derive these multinomial function allowed for the optimization of the signal processing in the aforementioned applications, and other applications using such types of hard threshold non-linear summation functions of arbitrary binary inputs.

Abstract: A method of channel spread signal coding is provided that enhances error correction coding schemes by further coding error correction coded signals based on a non-linear block error correction coding scheme that introduces a detectable pattern into the signal output prior to transmission. At the receiver end, the detectable pattern may be decorrelated enabling the use of RAKE receivers and enhanced decoding schemes.

Abstract: A class of n×l nonlinear block codes, termed Go-CDMA codes are constructed using column-reduced and row-reduced Hadamard orthogonal matrices, termed Go-CDMA matrices. Here n,l are positive integers: n chips of user data are transmitted in frames of size l≦&agr;n, where &agr; is the frame expansion factor. The codes map n-vectors containing binary message data to binary or multi-level l-vectors for transmission, where l≧n. The codes are invertible maps for the binary message data, and when there is no message data in some input vector elements, and noise added between the coding and decoding, there is some error correction. The coding uses integer arithmetic and integer quantization operations, preferably certain sign operations. Go-CDMA codes may be implemented in CDMA communication systems to improve performance on many measures over conventional CDMA and TDMA systems. The coding and decoding may include scrambling and descrambling the Go-CDMA coded signal based on random codes.

Abstract: A class of n×l nonlinear block codes, termed Go-CDMA codes are constructed using column-reduced and row-reduced Hadamard orthogonal matrices, termed Go-CDMA matrices. Here n, l are positive integers: n chips of user data are transmitted in frames of size l≦an, where &agr; is the frame expansion factor. The codes map n-vectors containing binary message data to binary or multi-level l-vectors for transmission, where l≧n. The codes are invertible maps for the binary message data, and when there is no message data in some input vector elements, and noise added between the coding and decoding, there is some error correction. The coding uses integer arithmetic and integer quantization operations, preferably certain sign operations. Go-CDMA codes may be implemented in CDMA communication systems to improve performance on many measures over conventional CDMA and TDMA systems. The coding and decoding may include scrambling and descrambling the Go-CDMA coded signal based on random codes.