Matsushita Electric Industrial Co., Ltd.

Kazuhiro Murase

Kinji Kawamoto

Tetsuhiko Kaneaki

Masataka Nikaido

Tatsuya Adachi

Masao Tsukamoto

Sakurako Matsuda

Michihito Matsumoto

A circuit effects regular multiplicaton of two field elements in a Galois field GF (2.sup.m). Each of the field elements is expressed by an m-bit binary number. The two field elements are applied to a binary multiplier array which generates (2m-1)-bit partial products. The partial products are divided by a generator polynomial of the Galois field to produce final m-bit binary products.

Multiplier in a galois field

A wave generating method and a wave generating apparatus using the method are arranged such that plurality of wave samples, each being generated successively, are respectively weighted by, for example, being multiplied by a plurality of wave functions generated corresponding to the plurality of wave samples. The plurality of weighted wave samples are summed to obtain a desired wave. The kind of each of the plurality of wave samples generated successively is changed at each time when the value of corresponding one of the plurality of wave functions becomes zero. Therefore, the apparatus includes wave generators for generating the wave samples successively, wave function generators for generating the wave functions successively, multipliers for multiplying the wave samples by the wave functions respectively, an adder for adding all of the outputs of the multipliers to generate the desired wave, and a wave changing circuit for changing the kind of each of the wave samples when the corresponding one of the wave functions becomes zero.

Wave generating method and apparatus using same

A multiple wave generator for an electronic musical instrument which has a wave data memory storing plural data samples of a wave shape, a wave address register storing wave address data partially designating sampled data in the wave data memory, a difference address register storing difference address data which specifies incremental address amount, a wave address calculator adding the wave address data to the difference address data and writing into the wave address register, the summed address data being separated into wave memory address data and partial address data, and a wave calculator. The wave memory address data, which are part of the wave address data, are applied to the wave data memory for reading out one data sample, and the one data sample and the partial address data are applied to the wave calculator for calculating interpolated wave sample data corresponding to the wave memory address and the partial address.

Multiple wave generator

A wave reading apparatus includes a wave generator for generating a plurality of wave signals, a read-out frequency generator for generating a plurality of read-out frequencies, a controller for controlling calculation, writing and reading of wave samples, a writing device, a plurality of buffer memories and a plurality of read-out devices. The controller informs requests of wave samples calculation to the wave generator in accordance with the read-out frequencies. The calculated wave samples are written through the writing device to the buffer memories and read out by the read-out device in accordance with the read-out frequencies, at least one of which is different in frequency from the remainder.

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Hirakata, Japan

Kazuhiro Murase