Abstract: A base band to frequency up-converter is described wherein the base band to frequency up-converter comprises a first input for receiving a first base band signal of first base band samples and a second input for receiving a second base band signal of second base band samples and an output for providing up-converted radio signal samples. The base-band to radio frequency up-converter further comprises a phase converter for converting the first base band signal of first base band samples and the second base band signal of second base band samples into a first intermediate signal of first intermediate samples, a second intermediate signal of second intermediate samples, and a third intermediate signal of third intermediate samples. The intermediate samples are then up-converted into radio signal samples.

Abstract: An apparatus for acquiring an i-bit digital code by a first stage AD conversion and a j-bit digital code by a second stage AD conversion includes a comparing unit which compares a reference signal and an analog signal in the first stage AD conversion; and an amplifying unit for outputting an amplified residual signal acquired by amplifying a difference between the analog signal and an analog signal corresponding to the i-bit digital code. The comparing unit compares the amplified residual signal and the reference signal in the second stage AD conversion.

Abstract: A method of determining a factorization permutation for a natural number can include storing a canonical prime factor vector within memory of a system and storing a first basis vector within the memory. The method can include deriving a first count sequence, including a plurality of counts, from the first basis vector, wherein each count of the first count sequence is a child of the first basis vector. For each count of the first count sequence, a second basis vector can be output that is a child of the count, wherein each count of the first count sequence and child second basis vector specifies a factorization permutation of the natural number.

Abstract: A device is described herein that performs a digital-to-analog conversion on a digital multimedia signal in a manner that enhances the human perceptual quality of the resulting analog multimedia signal (e.g., musical passage). In one embodiment, the device operates as follows: (1) divides the bitstream of a digital multimedia signal into several distinct multimedia bitstreams; (2) applies the most effective signal processing (filtering and noise shaping) to each distinct multimedia bitstream; (3) performs the most appropriate digital-to-analog conversion (using a multi-bit DAC, a bitstream DAC, a over-sampled bitstream DAC, or a hybrid of these DACs) to each distinct multimedia bitstream; and (4) combines all of the analog multimedia signals which are outputted by the DACs into a single analog multimedia signal.