This application presents a direct data recovery from subspaces or parameters subranges of a received OFDM signal preidentified as corresponding to specific data symbols, by applying adaptive inverse signal transformation (AIST) method for reversing both original data coding and deterministic and random distortions introduced by a transmission channel, wherein both reversals are achieved by the same conversion of the subspaces or parameter subranges into data transmitted originally in order to eliminate an intermediate recovery of signals or parameters transmitted originally within the received OFDM signal. The AIST includes using both amplitudes and gradients of amplitudes of OFDM tone signals.

An instrument for performing order analysis on a rotational machine. An input module receives periodic motion data, and machine characteristic data that is associated by time with the periodic motion data. A processor module receives the periodic motion data and the machine characteristic data, applies a Goertzel module to the periodic motion data and the machine characteristic data, and thereby creates an order data set comprising magnitude of machine characteristic data versus order of normalized periodic motion data.

A filter circuit includes: a division unit that divides an input signal and adds, to a tail end of a division block, of head data of the next division block, to generate an input block; a plurality of signal processing units that perform filtering of a feedback type on input blocks to generate output samples, and generate and output blocks; and a coupling unit that couples the output blocks. The signal processing unit outputs first output samples generated until a switching timing, and outputs second output samples generated by the signal processing unit after the timing. The switching timing is a timing within a period corresponding to the duplicated data, at which timing a difference between a first signal generated by the signal processing unit and a second signal generated by the signal processing unit is less than or equal to a threshold consecutively for a second data length.

A filter device includes: delay units serially connected to delay an input signal and output a delayed signal; multiplication units multiplying the delayed signal by a filter coefficient based on a predetermined value and a multiplying factor adjustment value; a coefficient adjustment unit that, when a multiplication result obtained by multiplying the predetermined value by the multiplying factor adjustment value exceeds a maximum value of a filter-coefficient representation range, divides the multiplication result exceeding the maximum value by the maximum value, and outputs a quotient of division as a coefficient adjustment value; a signal conversion unit outputting a signal obtained by adding after-filter-coefficient-multiplication signals outputted by the multiplication units and an adjusted signal obtained by adjusting a corresponding delayed signal using the coefficient adjustment value; and a division unit generating an output signal by dividing the signal outputted by the signal conversion unit by the multiplying factor adjustment value.

A multi-stage demultiplexing circuit in which a plurality of circuits each combining a selector and a frequency decimation circuit are connected is included. The selector selects one of input signals based on a control signal, and generates a plurality of output signals. The plurality of output signals output from the selector are input to the frequency decimation circuit, and the frequency decimation circuit performs frequency conversion processing, low pass filter processing, and down-sampling processing based on a control signal to generate an output signal. Two or more reception signals are input to the multi-stage demultiplexing circuit, and the multi-stage demultiplexing circuit executes demultiplexing processing based on a control signal so that an output signal that includes an unused band portion is prevented from being output downstream.

A multi-stage demultiplexing circuit in which a plurality of circuits each combining a selector and a frequency decimation circuit are connected is included. The selector selects one of input signals based on a control signal, and generates a plurality of output signals. The plurality of output signals output from the selector are input to the frequency decimation circuit, and the frequency decimation circuit performs frequency conversion processing, low pass filter processing, and down-sampling processing based on a control signal to generate an output signal. Two or more reception signals are input to the multi-stage demultiplexing circuit, and the multi-stage demultiplexing circuit executes demultiplexing processing based on a control signal so that an output signal that includes an unused band portion is prevented from being output downstream.

A filterbank, suitable for modifying audio signals with dynamic gains in each band, is constructed so that the perceived latency is small, while a larger group delay is applied at low frequencies to enable higher frequency resolution in the lower frequency bands. The higher group delay at low frequencies is achieved by inserting an all-pass filter into the reconstructed filter response.

A finite impulse response (FIR) filter including a delay line and a plurality of arithmetic units. Each arithmetic unit is coupled to a different one of a plurality of tap points of the delay line, is configured to receive a respective signal value over the delay line, and is associated with a respective coefficient. Any given one of the arithmetic units is configured to receive a respective control word. The respective control word specifying: (i) a plurality of trivial multiplication operations, and (ii) a plurality of bit shift operations. Any given one of the arithmetic units is further configured to estimate or calculate a product of the respective signal of the arithmetic unit respective signal value and the respective coefficient of the arithmetic unit by performing the trivial multiplication operations and bit shift operations that are specified by the respective control word that is received at the given arithmetic unit.

Biquad stage systems and methods include receiving at biquad sections a signal sample, generating, by each biquad section, a pair of output values based on the signal sample, including a first value based on fixed-point processing path and a second value emulating a floating-point processing path, and accumulating the pair of output values from each of the plurality of biquad sections to generate an output signal. The biquad stage receives an N-bit input signal, which is processed by a biquad section. Delay elements delay the signal sample before input to other biquad sections. The delayed signal sample is input to the first processing path and the second processing path of a corresponding biquad stage. By performing the processing based on two paths, a more accurate result can be found when using a reduced word length in the multiply operations resulting in a lowering of the power consumption.

A variable output data rate converter circuit preferably meets performance requirements while keeping the circuit complexity low. In some embodiments, the converter circuit may include an oversampling sigma delta modulator circuit to quantize an analog input signal at an oversampled rate, and output an sigma delta modulated signal, a transposed polynomial decimator circuit to decimate the sigma delta modulated signal, and output a first decimated signal, and an integer decimator circuit to decimate the first decimated signal by an integer factor and output a second decimated signal having a desired output data rate. The transposed polynomial decimator circuit has a transposed polynomial filter circuit and a digital phase locked loop circuit, which tracks a ratio between a sampling rate of the first decimated signal and the oversampled rate, and outputs an intersample position parameter to the transposed polynomial filter circuit.