The term “locus” is intended herein to indicate a place, location, locality, locale, point, position, site, spot, volume, juncture, junction or other identifiable location-related zone in one or more dimensions. A locus in a physical apparatus may include, by way of example and not by way of limitation, a corner, intersection, curve, line, area, plane, volume or a portion of any of those features. A locus in an electrical apparatus may include, by way of example and not by way of limitation, a terminal, wire, circuit, circuit trace, circuit board, wiring board, pin, connector, component, collection of components, sub-component or other identifiable location-related area in one or more dimensions. A locus in a flow chart may include, by way of example and not by way of limitation, a juncture, step, site, function, query, response or other aspect, step, increment or an interstice between junctures, steps, sites, functions, queries, responses or other aspects of the flow or method represented by the chart.
One representative known circuit arrangement for effecting signal synthesis is known as a “Flying Adder” frequency synthesis architecture. The architecture is described in “An Architecture of High Performance Frequency and Phase Synthesis”, by Hugh Mair and Liming Xiu; IEEE Journal of Solid-State Circuits, Vol. 35, No. 6, June 2000. Mair and Xiu describe a Voltage Controlled Oscillator (VCO) presenting thirty-two phases as input signals to multiplexer devices.
As described by Mair and Xiu, in the flying adder frequency synthesis architecture a frequency synthesis section includes a frequency synthesizer multiplexer device that selects one of the thirty-two phases of the VCO input reference signal VCOOUT<31:0> to present a drive signal to trigger a toggle flip-flop and generate a frequency output signal Z having a rising edge and a falling edge. A control word FREQ <9:0> (a digital word) determines the time (i.e., the number of phases) that should elapse between two adjacent selections of address by the frequency synthesizer multiplexer device. A frequency synthesis register provides and memorizes the extant selection address of the frequency synthesizer multiplexer device. The drive signal is applied as a clocking signal for the frequency synthesis register. The next subsequent frequency synthesizer multiplexer selection address stored in the frequency synthesis register is the sum of the extant selection address and the control word FREQ <9:0>.
When such a frequency synthesizer device employs a control word having a fractional bit there will be jitter in output signals from the synthesizer device.
Frequency reference unit 14 includes a scaling unit 18, a frequency and phase detector (PFD) 20, a charge pump 22, a Voltage Controlled Oscillator (VCO) 24 and a divider unit 26. Frequency reference unit 14 is configured substantially as a single-loop analog Phase Locked Loop (PLL) circuit receiving a reference signal having a reference frequency fr at scaling unit 18. Scaling unit 18 may be employed to divide the reference signal to a lower, more manageable frequency by dividing using a scaling factor P. Some configurations of frequency reference unit 14 may omit scaling unit 18. Scaling unit or predividing unit 18 presents a scaled reference signal having a scaled frequency fP to an input locus 30 to PFD 20. PFD 20 senses whether a difference is present between two input signals received at input loci 30, 32 to PFD 20, and presents an error indication e to charge pump 22 when a sufficient signal difference is present. Charge pump 22 converts error indication e to a representative voltage signal for use by VCO 24 in generating a reference signal VCOOUT. VCO 24 also presents signal VCOOUT, having a frequency fVCO, at an output locus 25. Output locus 25 is coupled with divider 26. Divider 26 divides feedback signal VCOOUT by a factor N to present to input locus 32 to PFD 20. When frequency reference unit 14 achieves the lock state, the following relationship is established:
In the configuration illustrated in
By the nature of this “Flying-Adder” architecture, control word FREQ must be in the range as shown in equation [2]. Control word FREQ could be an integer or a real number. If cycle jitter is to be avoided, control word FREQ can only take integer values.
2≦FREQ<2N [2]
A preferred embodiment of the present invention, as illustrated in
Frequency synthesizing apparatus 10 may be described as operating according to the following mathematical relationships:
Therefore, the period TVCO of signal from VCO 24,
Phase delay Δ between neighboring phases of signal VCOOUT may be expressed as:
Synthesized frequency fS is divided by factor M, so that:
f
S
=M·f
O [9]
Period TS of signal fS:
Recall that frequency fS is the required output frequency from synthesizer 12. The following relationship is defined by the architecture:
T
S=FREQ·Δ [12]
Combining Expression [12] with expressions [11], [7] and [8]:
Manipulating expression [13] yields:
When control word FREQ has fractional bits, signal fS will have inherent jitter because of a periodical carry-in. Post divider factor M may be employed to compensate for fractional bits in control word FREQ when certain relation exists between control word FREQ and post divider factor M. So long as the fractional bits in control word FREQ is the inverse of a factor of post divider factor M, jitter can be removed from signal fS.
Representative synthesized signal fS (
Treating representative synthesized signal fS by employing PDFR unit 16 (
Recall expression [14]:
Without employing PDFR unit 16 (
2≦FREQ<2N [2]
When PDFR unit 16 is employed, fractional values for control word FREQ may be employed, so long as the fractional value is the inverse of a factor of post divider factor M. By way of example and not by way of limitation, if post divider factor M=16, then its factors are 1, 2, 4, 8, 16. As a consequence, fractional values of control word FREQ may be 0.5, 0.25, 0.125 and 0.0625.
Employment of the present invention, such as by way of example and not by way of limitation employment of post divider factor M in a PDFR unit 16 (
It is to be understood that, while the detailed drawings and specific examples given describe preferred embodiments of the invention, they are for the purpose of illustration only, that the apparatus and method of the invention are not limited to the precise details and conditions disclosed and that various changes may be made therein without departing from the spirit of the invention which is defined by the following claims: