Abstract: Systems and methods are provided for performing a dot product. Each of a first series of numbers is divided into a first value, comprising the N most significant bits of the number, and a second value to form first and second sets of values. Each of a second series of numbers is divided into a third value, comprising the N most significant bits of the number, and a fourth value to form third and fourth sets of values. A dot product of the first and fourth sets of values is computed to provide a first partial sum. A dot product of the first and third sets of values is computed to provide a second partial sum. A dot product of the second and third sets of values is computed to provide a third partial sum. The partial sums are summed to provide a result for the dot product.

Abstract: Systems and methods are provided for performing a dot product. Each of a first series of numbers is divided into a first value, comprising the N most significant bits of the number, and a second value to form first and second sets of values. Each of a second series of numbers is divided into a third value, comprising the N most significant bits of the number, and a fourth value to form third and fourth sets of values. A dot product of the first and fourth sets of values is computed to provide a first partial sum. A dot product of the first and third sets of values is computed to provide a second partial sum. A dot product of the second and third sets of values is computed to provide a third partial sum. The partial sums are summed to provide a result for the dot product.

Abstract: A method and apparatus for processing encoded audio data that operates on batches of data having a predetermined time block size. An input/output memory buffer provides a delay from input to corresponding output of 2+x time blocks where x is a predetermined constant and 0<x<1.

Abstract: A method and apparatus for processing encoded audio data that operates on batches of data having a predetermined time block size. An input/output memory buffer provides a delay from input to corresponding output of 2+x time blocks where x is a predetermined constant and 0<x<1.

Abstract: A method for finite impulse response (FIR) digital filtering is provided that includes generating a frequency domain sample block from an input sample block of length L, adding the computed frequency domain sample block to a reverse time-ordered set of previously generated frequency domain sample blocks as a newest frequency domain sample block, computing a spectral multiplication of each of K newest frequency domain sample blocks in the reverse time-ordered set with a corresponding frequency domain filter block in a time-ordered set of K frequency domain filter blocks of a FIR filter, adding the K results of the K spectral multiplications to generate an output spectral block, inverse transforming the output spectral block to generate a time domain output block, and outputting L filtered output samples from the time domain output block.

Abstract: A method for finite impulse response (FIR) digital filtering is provided that includes generating a frequency domain sample block from an input sample block of length L, adding the computed frequency domain sample block to a reverse time-ordered set of previously generated frequency domain sample blocks as a newest frequency domain sample block, computing a spectral multiplication of each of K newest frequency domain sample blocks in the reverse time-ordered set with a corresponding frequency domain filter block in a time-ordered set of K frequency domain filter blocks of a FIR filter, adding the K results of the K spectral multiplications to generate an output spectral block, inverse transforming the output spectral block to generate a time domain output block, and outputting L filtered output samples from the time domain output block.