Abstract: A phase lock loop of a synthesizer (143) is controlled by applying (506) modern optimal control techniques for a predetermined period in a computing engine (222), in response to an error being introduced into a signal of the phase lock loop, and by utilizing (510) classical control techniques for controlling the phase lock loop after the predetermined period.

Abstract: A communication receiver (100) utilizing a synthesizer (143) employs a discrete-time phase locked loop which includes a reference oscillator (135), a phase error detector (202), a discrete-time analog computing element (206), an integrator (210), a controlled frequency generator (211, 212), and a frequency divider (214). The discrete-time analog computing element implements a discrete-time analog lead-lag network circuit. This circuit includes a clock and logic circuit (216), at least one discrete-time analog queuing element (218), and an analog computing engine (222). The queuing element (218) includes N analog signal lines, N analog storage lines, N control lines, and N.sup.2 controllable switches. Each controllable switch is coupled between each of the N analog signal lines and each of the N analog storage lines. In addition, N charge storage elements are coupled between each of the N analog storage lines and a common circuit node.

Abstract: A hybrid analog-digital phase error detector (107) is utilized for detecting a phase error between first and second clock signals (132, 104). Digital and analog phase error detectors (108, 116) are connected to the first and second clock signals (132, 104), and are utilized for producing digital and analog phase error values (110, 118). The digital and analog controllers (112, 120) connected to the digital and analog phase error detectors (108, 116) execute digital and analog control algorithms based on the digital and analog phase error values (110, 118) to produce digital and analog control signals (114, 122). A summer (124) connected to the outputs of the digital and analog controllers (112, 120) combines the analog control signal (122) and the digital control signal (114) to produce a composite control signal (126) representing the phase error.