Abstract: A flip-flop having first and second shared transistors. The flip-flop including a tri-state inverter and a master latch configured to receive an output of the tri-state inverter. The flip-flop also having a slave latch coupled to the master latch, the slave latch including a slave tri-state inverter. The flip-flop further having an output inverter coupled to receive one of an output of the slave latch and an output of the master latch and configured to generate a flip-flop output. The first shared transistor configured to receive a clock signal and having a drain terminal coupled a first transistor in the tri-state inverter and a second transistor in the slave tri-state inverter. The second shared transistor configured to receive an inverted clock signal and having a drain terminal coupled a third transistor in the tri-state inverter and a fourth transistor in the slave tri-state inverter.

Abstract: A flip-flop having first and second shared transistors. The flip-flop including a tri-state inverter and a master latch configured to receive an output of the tri-state inverter. The flip-flop also having a slave latch coupled to the master latch, the slave latch including a slave tri-state inverter. The flip-flop further having an output inverter coupled to receive one of an output of the slave latch and an output of the master latch and configured to generate a flip-flop output. The first shared transistor configured to receive a clock signal and having a drain terminal coupled a first transistor in the tri-state inverter and a second transistor in the slave tri-state inverter. The second shared transistor configured to receive an inverted clock signal and having a drain terminal coupled a third transistor in the tri-state inverter and a fourth transistor in the slave tri-state inverter.

Abstract: A flip-flop having first and second shared transistors. The flip-flop including a tri-state inverter and a master latch configured to receive an output of the tri-state inverter. The flip-flop also having a slave latch coupled to the master latch, the slave latch including a slave tri-state inverter. The flip-flop further having an output inverter coupled to receive one of an output of the slave latch and an output of the master latch and configured to generate a flip-flop output. The first shared transistor configured to receive a clock signal and having a drain terminal coupled a first transistor in the tri-state inverter and a second transistor in the slave tri-state inverter. The second shared transistor configured to receive an inverted clock signal and having a drain terminal coupled a third transistor in the tri-state inverter and a fourth transistor in the slave tri-state inverter.

Abstract: A flip-flop having first and second shared transistors. The flip-flop including a tri-state inverter and a master latch configured to receive an output of the tri-state inverter. The flip-flop also having a slave latch coupled to the master latch, the slave latch including a slave tri-state inverter. The flip-flop further having an output inverter coupled to receive one of an output of the slave latch and an output of the master latch and configured to generate a flip-flop output. The first shared transistor configured to receive a clock signal and having a drain terminal coupled a first transistor in the tri-state inverter and a second transistor in the slave tri-state inverter. The second shared transistor configured to receive an inverted clock signal and having a drain terminal coupled a third transistor in the tri-state inverter and a fourth transistor in the slave tri-state inverter.

Abstract: A multiplier circuit includes a partial product generation circuit, a truncation circuit, and a summation circuit. The partial product generation circuit is configured to generate a plurality of partial products for multiplying two values. The truncation circuit is coupled to the partial product generation circuit. The truncation circuit is configured to shorten at least some of the partial products by removing a least significant bit from the at least some of the partial products. The summation circuit coupled to the truncation circuit. The summation circuit is configured to sum the truncated partial products produced by the truncation circuit.

Abstract: A multiplier circuit includes a partial product generation circuit, a truncation circuit, and a summation circuit. The partial product generation circuit is configured to generate a plurality of partial products for multiplying two values. The truncation circuit is coupled to the partial product generation circuit. The truncation circuit is configured to shorten at least some of the partial products by removing a least significant bit from the at least some of the partial products. The summation circuit coupled to the truncation circuit. The summation circuit is configured to sum the truncated partial products produced by the truncation circuit.

Abstract: A digital down converter includes a low resolution mixer, a decimation filter, and a high resolution mixer. The low resolution mixer is configured to receive a digitized radio frequency signal, and apply a first down conversion to the radio frequency signal to produce an intermediate frequency signal. The decimation filter is coupled to the low resolution mixer. The decimation filter is configured to receive the intermediate frequency signal, and reduce a sampling rate of the intermediate frequency signal to produce a decimated intermediate frequency signal. The high resolution mixer is coupled to the decimation filter. The high resolution mixer is configured to receive the decimated intermediate frequency signal, and apply a second down conversion to the decimated intermediate frequency signal to produce a down converted signal.

Abstract: A multiplier circuit includes a partial product generation circuit, a truncation circuit, and a summation circuit. The partial product generation circuit is configured to generate a plurality of partial products for multiplying two values. The truncation circuit is coupled to the partial product generation circuit. The truncation circuit is configured to shorten at least some of the partial products by removing a least significant bit from the at least some of the partial products. The summation circuit coupled to the truncation circuit. The summation circuit is configured to sum the truncated partial products produced by the truncation circuit.

Abstract: At least some embodiments are directed to a flip-flop that comprises a tri-state inverter and a master latch coupled to the tri-state inverter and comprising a first transistor, a first inverter, and a first logic gate. The master latch receives a clock signal. The flop also comprises a slave latch coupled to the master latch and comprising a second transistor and a second inverter. The slave latch receives the clock signal. The flop further comprises an enablement logic coupled to the master latch and comprising multiple, additional logic gates. The tri-state inverter, the master and slave latches, and the enablement logic are configured so that when a flip-flop input signal D and a flip-flop output signal Q are identical and the clock signal is toggled, a state of the master latch and a state of the slave latch remain static.

Abstract: A multiplier circuit includes a partial product generation circuit, a truncation circuit, and a summation circuit. The partial product generation circuit is configured to generate a plurality of partial products for multiplying two values. The truncation circuit is coupled to the partial product generation circuit. The truncation circuit is configured to shorten at least some of the partial products by removing a least significant bit from the at least some of the partial products. The summation circuit coupled to the truncation circuit. The summation circuit is configured to sum the truncated partial products produced by the truncation circuit.

Abstract: A digital filter for interpolation or decimation and a device incorporating the digital filter is disclosed. The digital filter includes a filter block, a first transformation circuit coupled to the filter block and an input stream coupled to provide input values to a component selected from the filter block and the first transformation circuit. The filter block includes a pair of sub-filters having respective transformed coefficients, the respective transformed coefficients of a first sub-filter of the pair of sub-filters being symmetric and the respective transformed coefficients of a second sub-filter of the pair of sub-filters being anti-symmetric. The first transformation circuit is coupled to perform a first transformation; the filter block and the first transformation circuit together provide suppression of undesired spectral images in final outputs of the digital filter.

Abstract: At least some embodiments are directed to a flip-flop that comprises a tri-state inverter and a master latch coupled to the tri-state inverter and comprising a first transistor, a first inverter, and a first logic gate. The master latch receives a clock signal. The flop also comprises a slave latch coupled to the master latch and comprising a second transistor and a second inverter. The slave latch receives the clock signal. The flop further comprises an enablement logic coupled to the master latch and comprising multiple, additional logic gates. The tri-state inverter, the master and slave latches, and the enablement logic are configured so that when a flip-flop input signal D and a flip-flop output signal Q are identical and the clock signal is toggled, a state of the master latch and a state of the slave latch remain static.

Abstract: A multiplier circuit includes a partial product generation circuit, a truncation circuit, and a summation circuit. The partial product generation circuit is configured to generate a plurality of partial products for multiplying two values. The truncation circuit is coupled to the partial product generation circuit. The truncation circuit is configured to shorten at least some of the partial products by removing a least significant bit from the at least some of the partial products. The summation circuit coupled to the truncation circuit. The summation circuit is configured to sum the truncated partial products produced by the truncation circuit.

Abstract: A digital filter for interpolation or decimation and a device incorporating the digital filter is disclosed. The digital filter includes a filter block, a first transformation circuit coupled to the filter block and an input stream coupled to provide input values to a component selected from the filter block and the first transformation circuit. The filter block includes a pair of sub-filters having respective transformed coefficients, the respective transformed coefficients of a first sub-filter of the pair of sub-filters being symmetric and the respective transformed coefficients of a second sub-filter of the pair of sub-filters being anti-symmetric. The first transformation circuit is coupled to perform a first transformation; the filter block and the first transformation circuit together provide suppression of undesired spectral images in final outputs of the digital filter.

Abstract: At least some embodiments are directed to a flip-flop that comprises a tri-state inverter and a master latch coupled to the tri-state inverter and comprising a first transistor, a first inverter, and a first logic gate. The master latch receives a clock signal. The flop also comprises a slave latch coupled to the master latch and comprising a second transistor and a second inverter. The slave latch receives the clock signal. The flop further comprises an enablement logic coupled to the master latch and comprising multiple, additional logic gates. The tri-state inverter, the master and slave latches, and the enablement logic are configured so that when a flip-flop input signal D and a flip-flop output signal Q are identical and the clock signal is toggled, a state of the master latch and a state of the slave latch remain static.

Abstract: A digital filter for interpolation or decimation and a device incorporating the digital filter is disclosed. The digital filter includes a filter block, a first transformation circuit coupled to the filter block and an input stream coupled to provide input values to a component selected from the filter block and the first transformation circuit. The filter block includes a pair of sub-filters having respective transformed coefficients, the respective transformed coefficients of a first sub-filter of the pair of sub-filters being symmetric and the respective transformed coefficients of a second sub-filter of the pair of sub-filters being anti-symmetric. The first transformation circuit is coupled to perform a first transformation; the filter block and the first transformation circuit together provide suppression of undesired spectral images in final outputs of the digital filter.

Abstract: A digital down converter includes a low resolution mixer, a decimation filter, and a high resolution mixer. The low resolution mixer is configured to receive a digitized radio frequency signal, and apply a first down conversion to the radio frequency signal to produce an intermediate frequency signal. The decimation filter is coupled to the low resolution mixer. The decimation filter is configured to receive the intermediate frequency signal, and reduce a sampling rate of the intermediate frequency signal to produce a decimated intermediate frequency signal. The high resolution mixer is coupled to the decimation filter. The high resolution mixer is configured to receive the decimated intermediate frequency signal, and apply a second down conversion to the decimated intermediate frequency signal to produce a down converted signal.

Abstract: At least some embodiments are directed to a flip-flop that comprises a tri-state inverter and a master latch coupled to the tri-state inverter and comprising a first transistor, a first inverter, and a first logic gate. The master latch receives a clock signal. The flop also comprises a slave latch coupled to the master latch and comprising a second transistor and a second inverter. The slave latch receives the clock signal. The flop further comprises an enablement logic coupled to the master latch and comprising multiple, additional logic gates. The tri-state inverter, the master and slave latches, and the enablement logic are configured so that when a flip-flop input signal D and a flip-flop output signal Q are identical and the clock signal is toggled, a state of the master latch and a state of the slave latch remain static.

Abstract: A digital filter for interpolation or decimation and a device incorporating the digital filter is disclosed. The digital filter includes a filter block, a first transformation circuit coupled to the filter block and an input stream coupled to provide input values to a component selected from the filter block and the first transformation circuit. The filter block includes a pair of sub-filters having respective transformed coefficients, the respective transformed coefficients of a first sub-filter of the pair of sub-filters being symmetric and the respective transformed coefficients of a second sub-filter of the pair of sub-filters being anti-symmetric. The first transformation circuit is coupled to perform a first transformation; the filter block and the first transformation circuit together provide suppression of undesired spectral images in final outputs of the digital filter.

Abstract: A digital down converter includes a low resolution mixer, a decimation filter, and a high resolution mixer. The low resolution mixer is configured to receive a digitized radio frequency signal, and apply a first down conversion to the radio frequency signal to produce an intermediate frequency signal. The decimation filter is coupled to the low resolution mixer. The decimation filter is configured to receive the intermediate frequency signal, and reduce a sampling rate of the intermediate frequency signal to produce a decimated intermediate frequency signal. The high resolution mixer is coupled to the decimation filter. The high resolution mixer is configured to receive the decimated intermediate frequency signal, and apply a second down conversion to the decimated intermediate frequency signal to produce a down converted signal.