An N-tap feedforward equalizer (FFE) comprises a set of N FFE taps coupled together in parallel, a filter coupled between the (N−1)th FFE tap and the Nth FFE tap, and a summer coupled to an output of the set of N FFE taps. Each FFE tap includes a unique sample-an-hold (S/H) circuit that generates a unique time-delayed signal and a unique transconductance stage that generates a unique transconductance output based on the unique time-delayed signal. The filter causes the N-tap FFE to have the behavior of greater than N taps. In some examples, the filter is a first order high pass filter that causes coefficients greater than N to have an opposite polarity of the Nth coefficient. In some examples, the filter is a first order low pass filter that causes coefficients greater than N to have the same polarity as the Nth coefficient.

An analog filter, comprising, a first-time encoding machine (TEM); and a first delay element.

A digitally controlled analog filter device. The digitally controlled analog filter device includes one or more digitally controlled analog signal amplifiers. The digitally controlled analog signal amplifiers are configured to have a gain of the digitally controlled analog signal amplifiers controlled by digital signals. The digitally controlled analog filter device further includes one or more analog time delay circuits coupled to signal input nodes of the digitally controlled analog signal amplifiers. The analog time delay circuits are configured to implement an analog signal delay. The digitally controlled analog filter device further includes a digital closed loop control circuit coupled to the digitally controlled analog signal amplifiers to digitally control the gain of the digitally controlled analog signal amplifiers.

Examples provide a method and apparatus for an analog bi-quad infinite impulse response (IIR) filter. An amplifier generates a positive output signal corresponding to a received RF signal and a negative output signal. A set of selectively switchable time-delay circuits associated with a positive arm of the filter causes a predetermined delay corresponding to a desired sample frequency. A first set of configurable variable gain amplifiers amplify the positive output signal to establish a set of positive coefficients. A set of selectively switchable time-delay circuits associated with a negative arm of the filter causes a predetermined delay. A delayed negative output signal is generated which is amplified by a second set of configurable variable gain amplifiers to establish a set of negative coefficients. A set of power combiners function as sum junctions to combine the delayed positive output signals and the delayed negative output signals into a single output signal.

A sampled analog circuit is divided into at least two segments, each segment receiving sampled analog data and a respective subset of bits of a filter coefficient. The at least two segments can have digital-to-capacitance circuits with substantially identical ranges of capacitance values. One or more outputs from the segments can be scaled to reflect a position of the subset of bits in the bits of the filter coefficient, and thereafter added in the analog domain to produce a filtered output signal that may then be digitized. Alternatively, the outputs from the segments may be digitized before being scaled and/or added in the digital domain.

An N-tap feedforward equalizer (FFE) comprises a set of N FFE taps coupled together in parallel, a filter coupled between the (N−1)th FFE tap and the Nth FFE tap, and a summer coupled to an output of the set of N FFE taps. Each FFE tap includes a unique sample-an-hold (S/H) circuit that generates a unique time-delayed signal and a unique transconductance stage that generates a unique transconductance output based on the unique time-delayed signal. The filter causes the N-tap FFE to have the behavior of greater than N taps. In some examples, the filter is a first order high pass filter that causes coefficients greater than N to have an opposite polarity of the Nth coefficient. In some examples, the filter is a first order low pass filter that causes coefficients greater than N to have the same polarity as the Nth coefficient.

A FIR filter (15), comprising an input terminal for receiving an input signal, a first filtering circuit comprising: a first transconductance device (30a) configured to generate a first current signal (i1) proportional to the input signal; a first analog switch (41a) commuted in n by a first digital gate signal (ϕ1) and configured to block the current signal when the first digital gate signal has a first value and to transmit the current signal to a first integrating capacitor (45a) when the first digital gate signal has a second value; characterized in that the first digital gate signal (ϕ1) comprises a periodic series of pulses, wherein the pulses have widths proportional to the filter coefficients.

A filter includes cascaded building blocks, for filtering an incoming signal. Each building block has first and second delay elements. A first scaling device is between an input node of the first delay element and an output node of the second delay element, and a second scaling device is between an output node of the first delay element and an input node of the second delay element. The building block has a cross scaling device between the output nodes of the first delay element and of the second delay element, and/or between the input nodes of the first delay element and of the second delay element. The building block is configured such that, in operation, incoming signals at the input node and output node of the second delay element are summed together.

A filter includes cascaded building blocks, for filtering an incoming signal. Each building block has first and second delay elements. A first scaling device is between an input node of the first delay element and an output node of the second delay element, and a second scaling device is between an output node of the first delay element and an input node of the second delay element. The building block has a cross scaling device between the output nodes of the first delay element and of the second delay element, and/or between the input nodes of the first delay element and of the second delay element. The building block is configured such that, in operation, incoming signals at the input node and output node of the second delay element are summed together.

A distributed photodiode with FIR filtering function enabled by a lumped transmission line is provided. The distributed photodiode includes inductors, a plurality of photodiode segments, photodiode biasing components, and termination impedance. The electrical bandwidth due to the junction parasitic capacitance of the photodiode is increased as the parasitic capacitance is absorbed in the transmission line structure. Moreover, the delay elements inherent in the transmission line enable implementation of an analog finite impulse response (FIR) filter that has equalization capability to allow a customized photodiode frequency response compensation.