Abstract: A tuning fork quartz crystal resonator includes a base, a first resonating arm, and a second resonating arm. The base has a generally planar fifth main surface and a generally planar sixth main surface opposite to each other, and has a fifth side surface and a sixth side surface opposite to each other. The first resonating arm is connecting to one side of the base. The second resonating arm is connecting to the same side of the base. A concave of continuous curved surface is formed one each on the fifth side surface and the sixth side surface of the base respectively.

Abstract: A tuning fork quartz crystal resonator includes a base, a first resonating arm, and a second resonating arm. The base has a generally planar fifth main surface and a generally planar sixth main surface opposite to each other, and has a fifth side surface and a sixth side surface opposite to each other. The first resonating arm is connecting to one side of the base. The second resonating arm is connecting to the same side of the base. A recess is formed on the fifth main surface, and the recess is sized and configured such that a first width near the first resonating arm and the second resonating arm is greater than a second width away from the first resonating arm and the second resonating arm.

Abstract: An error detection module includes a known-syndrome computing unit, an unknown-syndrome computing unit, and an error detection unit. The known-syndrome computing unit is operable to convert a received signal into a target signal, to obtain known syndromes based upon the target signal, and to generate an errata-locator polynomial based upon an erasure-locator polynomial and the known syndromes. The unknown-syndrome computing unit is operable to compute unknown syndromes based upon the errata-locator polynomial and the known syndromes. The error detection unit is operable to obtain a syndrome set that includes the known syndromes and the unknown syndromes, to obtain an error detection signal according to the syndrome set, and to provide an error correction module coupled thereto with the syndrome set and the error detection signal for enabling the error correction module to correct an error of the received signal.

Abstract: A tuning fork quartz crystal resonator has a base and two resonating arms extended in parallel from the same side of the base. Each resonating arm has asymmetric grooves on its upper and bottom surface, and the via-hole to reliably connect the top and bottom electrode. The asymmetric groove design can simplify the manufacturing process and lower the manufacturing cost. The base has continuous concave on both side surfaces and a recess on the main surface. The energy of ultrasonic wave propagating via the base mounting pads into the ceramic package can be reduced. This unique tuning fork quartz crystal resonator can prevent dramatic reduction of the Q value, and retain the outstanding quality of the resonator.

Abstract: A decoding method of a cyclic code decoder includes the machine-implemented steps of: establishing a lookup table; receiving a codeword; computing a syndrome and a Hamming weight; if the Hamming weight is not equal to zero and not greater than an error correcting capability value, performing a first error correcting operation; if the Hamming weight is greater than the error correcting capability value, and if the syndrome has a matching syndrome pattern in the lookup table, performing a second error correcting operation; if a second Hamming weight corresponding to a syndrome difference is smaller than a check value, performing a third error correcting operation, otherwise performing a fourth error correcting operation; and if a counter value is greater than zero, performing a fifth error correcting operation before decoding a corrected codeword.

Abstract: An error detection module includes a known-syndrome computing unit, an unknown-syndrome computing unit, and an error detection unit. The known-syndrome computing unit is operable to convert a received signal into a target signal, to obtain known syndromes based upon the target signal, and to generate an errata-locator polynomial based upon an erasure-locator polynomial and the known syndromes. The unknown-syndrome computing unit is operable to compute unknown syndromes based upon the errata-locator polynomial and the known syndromes. The error detection unit is operable to obtain a syndrome set that includes the known syndromes and the unknown syndromes, to obtain an error detection signal according to the syndrome set, and to provide an error correction module coupled thereto with the syndrome set and the error detection signal for enabling the error correction module to correct an error of the received signal.

Abstract: A tuning fork quartz crystal resonator has a base and two resonating arms extended in parallel from the same side of the base. Each resonating arm has asymmetric grooves on its upper and bottom surface, and the via-hole to reliably connect the top and bottom electrode. The asymmetric groove design can simplify the manufacturing process and lower the manufacturing cost. The base has continuous concave on both side surfaces and a recess on the main surface. The energy of ultrasonic wave propagating via the base mounting pads into the ceramic package can be reduced. This unique tuning fork quartz crystal resonator can prevent dramatic reduction of the Q value, and retain the outstanding quality of the resonator.

Abstract: A decoding method of a cyclic code decoder includes the machine-implemented steps of: establishing a lookup table; receiving a codeword; computing a syndrome and a Hamming weight; if the Hamming weight is not equal to zero and not greater than an error correcting capability value, performing a first error correcting operation; if the Hamming weight is greater than the error correcting capability value, and if the syndrome has a matching syndrome pattern in the lookup table, performing a second error correcting operation; if a second Hamming weight corresponding to a syndrome difference is smaller than a check value, performing a third error correcting operation, otherwise performing a fourth error correcting operation; and if a counter value is greater than zero, performing a fifth error correcting operation before decoding a corrected codeword.