Abstract: A method and system for the design and implementation of an optimally factored filter is presented. Pairs of angle values are organized in pairing candidates and a threshold is defined to indicate an upper bound on the number of pairing candidates. A first pairing candidate is exchanged above the threshold with a second pairing candidate below the threshold and a matrix is generated based on the pairing candidates below the threshold. A lowest predicted total quantization cost between all pairing candidates represented within the matrix is determined and the pairing candidates that result in the lowest predicted total quantization cost are used to determine the coefficients of the filter.

Abstract: A method and system for the design and implementation of an optimally factored filter is presented. Pairs of angle values are organized in pairing candidates and a threshold is defined to indicate an upper bound on the number of pairing candidates. A first pairing candidate is exchanged above the threshold with a second pairing candidate below the threshold and a matrix is generated based on the pairing candidates below the threshold. A lowest predicted total quantization cost between all pairing candidates represented within the matrix is determined and the pairing candidates that result in the lowest predicted total quantization cost are used to determine the coefficients of the filter.

Abstract: Systems and methods for a split phase accumulator having a plurality of sub phase accumulators are provided. Each sub phase accumulator receives a portion of a frequency control word. The first sub phase accumulator includes a first register and the remaining sub phase accumulators include a register and an overflow register. At each discrete point in time, the first sub phase accumulator is configured to be responsive to the first portion of the frequency control word at that discrete point in time and to the first sub phase accumulator value at the immediately previous discrete point in time, and each of the remaining sub phase accumulators is configured to be responsive to a value of its corresponding portion of the frequency control word at that discrete point in time and to the same second sub phase accumulator value at the immediately previous discrete point in time.

Abstract: A method and system for the design and implementation of an optimally factored filter is presented. Pairs of angle values are organized in pairing candidates and a threshold is defined to indicate an upper bound on the number of pairing candidates. A first pairing candidate is exchanged above the threshold with a second pairing candidate below the threshold and a matrix is generated based on the pairing candidates below the threshold. A lowest predicted total quantization cost between all pairing candidates represented within the matrix is determined and the pairing candidates that result in the lowest predicted total quantization cost are used to determine the coefficients of the filter.

Abstract: A method and system for the design and implementation of an optimally factored filter is presented. Pairs of angle values are organized in pairing candidates and a threshold is defined to indicate an upper bound on the number of pairing candidates. A first pairing candidate is exchanged above the threshold with a second pairing candidate below the threshold and a matrix is generated based on the pairing candidates below the threshold. A lowest predicted total quantization cost between all pairing candidates represented within the matrix is determined and the pairing candidates that result in the lowest predicted total quantization cost are used to determine the coefficients of the filter.

Abstract: A method and system for the design and implementation of an optimally factored filter is presented. Pairs of angle values are organized in pairing candidates and a threshold is defined to indicate an upper bound on the number of pairing candidates. A first pairing candidate is exchanged above the threshold with a second pairing candidate below the threshold and a matrix is generated based on the pairing candidates below the threshold. A lowest predicted total quantization cost between all pairing candidates represented within the matrix is determined and the pairing candidates that result in the lowest predicted total quantization cost are used to determine the coefficients of the filter.

Abstract: A method and system for the design and implementation of an optimally factored interpolated finite impulse response (IFIR) filter is presented. Techniques used to increase the implementation efficiency of the filter include joint sequencing of the filter stages, use of an nested IFIR filter, taming of a stage by relocation of that stage, fusing two or more stages together to form a single stage, and manual manipulation of a post-stage multiplier. IFIR filters using this approach may be realized as low pass filters or high pass filters, and in either analog or digital form.

Abstract: Systems and methods for a split phase accumulator having a plurality of sub phase accumulators are provided. Each sub phase accumulator receives a portion of a frequency control word. The first sub phase accumulator includes a first register and the remaining sub phase accumulators include a register and an overflow register. At each discrete point in time, the first sub phase accumulator is configured to be responsive to the first portion of the frequency control word at that discrete point in time and to the first sub phase accumulator value at the immediately previous discrete point in time, and each of the remaining sub phase accumulators is configured to he responsive to a value of its corresponding portion of the frequency control word at that discrete point in time and to the same second sub phase accumulator value at the immediately previous discrete point in time.

Abstract: An apparatus and method for angle rotation is disclosed to rotate a complex input by the angle ? to produce a rotated complex output signal. A memory storage device generates control information based on a coarse angle ?M. A coarse rotation butterfly circuit uses the control information to rotate the complex input signal by the coarse angle ?M to produce an intermediate complex number. The control information controls one or more multiplexers and/or adders in the coarse rotation butterfly circuit to rotate the complex input signal. The fine rotation butterfly circuit uses the control information to rotate the intermediate complex number by a fine angle ?L to produce the complex output signal. The control information controls one or more multiplexers and/or adders in the fine rotation butterfly circuit to rotate the intermediate complex number.

Abstract: Systems and methods for a split phase accumulator having a plurality of sub phase accumulators are provided, Each sub phase accumulator receives a portion of a frequency control word. The first sub phase accumulator includes a first register and the remaining sub phase accumulators include a register and an overflow register. At each discrete point in time, the first sub phase accumulator is configured to be responsive to the first portion of the frequency control word at that discrete point in time and to the first sub phase accumulator value at the immediately previous discrete point in time, and each of the remaining sub phase accumulators is configured to be responsive to a value of its corresponding portion of the frequency control word at that discrete point in time and to the same second sub phase accumulator value at the immediately previous discrete point in time.

Abstract: A method and system for the design and implementation of an optimally factored interpolated finite impulse response (IFIR) filter is presented. Techniques used to increase the implementation efficiency of the filter include joint sequencing of the filter stages, use of an nested IFIR filter, taming of a stage by relocation of that stage, fusing two or more stages together to form a single stage, and manual manipulation of a post-stage multiplier. IFIR filters using this approach may be realized as low pass filters or high pass filters, and in either analog or digital form.

Abstract: A method and system for the design and implementation of an optimally factored filter is presented. Pairs of angle values are organized in pairing candidates and a threshold is defined to indicate an upper bound on the number of pairing candidates. A first pairing candidate is exchanged above the threshold with a second pairing candidate below the threshold and a matrix is generated based on the pairing candidates below the threshold. A lowest predicted total quantization cost between all pairing candidates represented within the matrix is determined and the pairing candidates that result in the lowest predicted total quantization cost are used to determine the coefficients of the filter.

Abstract: An apparatus and method for angle rotation is disclosed to rotate a complex input by the angle ? to produce a rotated complex output signal. A memory storage device generates control information based on a coarse angle ?M. A coarse rotation butterfly circuit uses the control information to rotate the complex input signal by the coarse angle ?M to produce an intermediate complex number. The control information controls one or more multiplexers and/or adders in the coarse rotation butterfly circuit to rotate the complex input signal. The fine rotation butterfly circuit uses the control information to rotate the intermediate complex number by a fine angle ?L to produce the complex output signal. The control information controls one or more multiplexers and/or adders in the fine rotation butterfly circuit to rotate the intermediate complex number.

Abstract: A method and system for the design and implementation of an inverse-sinc function that can efficiently process signals produced by high-speed systems is presented. An integrated inverse-sinc module accepts multiple data streams that may result from parallel sub-systems and creates multiple outputs that can be interleaved to produce a sequence that has been filtered by an inverse-sinc function. The multiple-input, multiple-output system may be beneficially operated at a low data rate, such as the data rate used by each of the sub-systems.

Abstract: A method and system for the design and implementation of filters is presented in which the filter's transfer function can be provided with a significant insensitivity to the filter's tap coefficient values. A desensitized digital filter includes a first halfband filter and a second filter coupled in cascade between an input of the digital filter and the output of the digital filter. In embodiments, the first filter has the transfer function F(z)=K(1+z?1)(1+z?1) wherein K?0 is a scale factor. The digital filter may also interact with an up-sampler or a down-sampler. A desensitized Hilbert transformer includes an FIR filter having filter-tap coefficients whose absolute values equal the absolute values of the coefficients of an FIR filter F(z) for which the product (1+z?1)F(z) is a halfband filter coupled in cascade with a second filter.

Abstract: A method and system for the design and implementation of desensitized digital filters with droop correction. The desensitized digital filter includes a first filter configured to receive an input signal, a decimator or upsampler, and a modified desensitized half-band filter. The first filter introduces droop into the passband of the desensitized digital filter. The desensitized half-band filter has a transfer function F(z)=K(1+z?1)G(z) wherein K?0 is a scale factor, that is modified to omit a (1+z?1) factor block. The modified desensitized half-band filter compensates for the passband droop introduced by the first filter. The first filter may be a sinc filter, CIC filter, or filter having similar properties.

Abstract: An apparatus and method for angle is disclosed to rotate a complex input by the angle ? to produce a rotated complex output signal. A memory storage device generates control information based on a coarse angle ?M. A coarse rotation butterfly circuit uses the control information to rotate the complex input signal by the coarse angle ?M to produce an intermediate complex number. The control information controls one or more multiplexers and/or adders in the coarse rotation butterfly circuit to information to rotate the complex input signal. The fine rotation butterfly circuit uses the control information to rotate the intermediate complex number by a fine angle ?L to produce the complex output signal. The control information controls one or more multiplexers and/or adders in the fine rotation butterfly circuit to rotate the intermediate complex number.

Abstract: A method and system for the design and implementation of desensitized digital filters with droop correction. The desensitized digital filter includes a first filter configured to receive an input signal, a decimator or upsampler, and a modified desensitized half-band filter. The first filter introduces droop into the passband of the desensitized digital filter. The desensitized half-band filter has a transfer function F(z)=K(1+z?1)G(z) wherein K?0 is a scale factor, that is modified to omit a (1+z?1) factor block. The modified desensitized half-band filter compensates for the passband droop introduced by the first filter. The first filter may be a sinc filter, CIC filter, or filter having similar properties.

Abstract: A mobile wireless local area communications network includes a pair of relatively movable nodes, such as a vehicle and a house, which are movable into and out of a defined and limited area of communications relative to the fixed node. Each node has a computer and human interface capabilities to enable transfer of data between the nodes. Each has the ability to automatically connect/disconnect the nodes when the movable node moves into/out of the area of communications. The system causes performance of a function extrinsic to the communication itself as a result of the initiation or the cessation of the communication, even after the nodes have been disconnected.

Abstract: A method and system for the design and implementation of filters is presented in which the filter's transfer function can be provided with a significant insensitivity to the filter's tap coefficient values. A desensitized digital filter includes a first halfband filter and a second filter coupled in cascade between an input of the digital filter and the output of the digital filter. In embodiments, the first filter has the transfer function F(z)=K(1+z?1)(1+z?1) wherein K?0 is a scale factor. The digital filter may also interact with an up-sampler or a down-sampler. A desensitized Hilbert transformer includes an FIR filter having filter-tap coefficients whose absolute values equal the absolute values of the coefficients of an FIR filter F(z) for which the product (1+z?1)F(z) is a halfband filter coupled in cascade with a second filter.