Embodiments of the present invention relate to an architecture that uses hierarchical statistically multiplexed counters to extend counter life by orders of magnitude. Each level includes statistically multiplexed counters. The statistically multiplexed counters includes P base counters and S subcounters, wherein the S subcounters are dynamically concatenated with the P base counters. When a row overflow in a level occurs, counters in a next level above are used to extend counter life. The hierarchical statistically multiplexed counters can be used with an overflow FIFO to further extend counter life.

A tracker circuit configured to provide a variable supply voltage to a power amplifier (PA) circuit is disclosed. The tracker circuit includes a state machine circuit comprising a plurality of states mapped in accordance with transitions associated with a mapping scheme. In some embodiments, the plurality of states of the state machine circuit identify one or more operational modes associated with the tracker circuit, wherein at least one operational mode comprises one or more voltage levels respectively associated therewith. In some embodiments, the one or more operational modes includes at least two active operational modes. In some embodiments, a transition between the one or more operational modes of the tracker circuit is controlled by a digital selection signal received from a digital communication interface associated therewith.

Systems, apparatuses, and methods for implementing a hybrid asynchronous gray counter with a non-gray zone detector are described. A circuit includes an asynchronous gray counter coupled to control logic. The control logic programs the asynchronous gray counter to operate in different modes to perform various functions associated with a high-performance phase-locked loop (PLL). In a first mode, the asynchronous gray counter serves as a frequency detector to count oscillator cycles within a reference clock cycle. In a second mode, the asynchronous gray counter serves as a coarse phase detector to detect a phase error between a feedback clock and a reference clock. In a third mode, the asynchronous gray counter serves as a multi-modulus divider to divide an oscillator clock down to create a feedback clock. Using a single asynchronous gray counter for three separate functions reduces power consumption and area utilization.

A pulse density modulation method includes the following steps: S01, obtaining a number of bits n of a binary density value d, setting a number of bits of a counter as n, an initial value of the counter is 0 or 1; S02, searching for a rightmost 1: obtaining a number of bits j of the rightmost 1 of a current value i of the counter counted from right to left; a number in the counter is a binary number; a minimum value of j is 1; S03, determining whether corresponding bits are equal; S04, adding the value i of the counter by 1, proceeding to a next period, and turning to the step S02.

One or more gray code counters, counter arrangements, and phase-locked loop (PLL) circuits are provided. A gray code counter comprises a set of cells, such as standard cells, that output a gray code signal. The gray code counter comprises a pre-ready cell that provides an early signal, generated based upon an early clock, to one or more cells to reduce delay. A counter arrangement comprises one or more counter groups configured to provide pixel count levels for pixels, such as pixels of an image sensor array. A counter group comprises a gray code counter configured to provide a gray code signal to latch counter arrangements of the counter group. A PPL circuit comprises a gray code counter configured to generate a gray code signal used by a digital filter to adjust an oscillator. The gray code signal provides n-bit early/late information to the digital filter for adjustment of the oscillator.

A pulse density modulation method includes the following steps: S01, obtaining a number of bits n of a binary density value d, setting a number of bits of a counter as n, an initial value of the counter is 0 or 1; S02, searching for a rightmost 1: obtaining a number of bits j of the rightmost 1 of a current value i of the counter counted from right to left; a number in the counter is a binary number; a minimum value of j is 1; S03, determining whether corresponding bits are equal; S04, adding the value i of the counter by 1, proceeding to a next period, and turning to the step S02.

Embodiments of the present invention relate to an architecture that uses hierarchical statistically multiplexed counters to extend counter life by orders of magnitude. Each level includes statistically multiplexed counters. The statistically multiplexed counters includes P base counters and S subcounters, wherein the S subcounters are dynamically concatenated with the P base counters. When a row overflow in a level occurs, counters in a next level above are used to extend counter life. The hierarchical statistically multiplexed counters can be used with an overflow FIFO to further extend counter life.

Disclosed are systems and methods for providing programming of multi-level memory cells using an optimized multiphase mapping with a balanced Gray code. A method includes programming, in a first phase, a first portion of data into memory cells in a first-level cell mode. The method may also include reading, from the memory cells, the programmed first portion of the data. The method may also include programming, in a second phase, a second portion of the data into the memory cells in a second-level cell mode, wherein programming the second phase is based on applying, to the read first portion of the data, a mapping from the first-level cell mode to the second-level cell mode. The mapping may be selected based on minimizing an average voltage change of the memory cells from the first to second phase while maintaining a balanced Gray code.

Apparatuses and methods for maintaining a duty cycle error counter. An example apparatus may a duty cycle detect circuit configured to receive a clock signal and to detect a duty cycle error of the clock signal. The duty cycle detect error includes a counter configured to store a count value indicating the duty cycle error using Gray code. The counter is adjusted in response to detection of non-zero duty cycle error, and the counter is configured to convert the count value from Gray code to binary code as a binary count value. The duty cycle detect circuit is further configured to provide a duty cycle error signal based on the binary count value. The example apparatus further comprising a duty cycle correction circuit configured to adjust a duty cycle of the clock signal based on the duty cycle error signal.

A tracker circuit configured to provide a variable supply voltage to a power amplifier (PA) circuit is disclosed. The tracker circuit includes a state machine circuit comprising a plurality of states mapped in accordance with transitions associated with a mapping scheme. In some embodiments, the plurality of states of the state machine circuit identify one or more operational modes associated with the tracker circuit, wherein at least one operational mode comprises one or more voltage levels respectively associated therewith. In some embodiments, the one or more operational modes includes at least two active operational modes. In some embodiments, a transition between the one or more operational modes of the tracker circuit is controlled by a digital selection signal received from a digital communication interface associated therewith.