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ADF4156 Datasheet(PDF) 17 Page - Analog Devices |
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ADF4156 Datasheet(HTML) 17 Page - Analog Devices |
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17 / 24 page ![]() ADF4156 Rev. 0 | Page 17 of 24 RF SYNTHESIZER: A WORKED EXAMPLE The following equation governs how the synthesizer should be programmed: RFOUT = [INT + (FRAC/MOD)] × [FPFD] (3) where: RFOUT is the RF frequency output. INT is the integer division factor. FRAC is the fractionality. MOD is the modulus. FPFD = REFIN × [(1 + D)/(R × (1+T))] (4) where: REFIN is the reference frequency input. D is the RF REFIN doubler bit. T is the reference divide-by-2 Bit(0 or 1). R is the RF reference division factor. For example, in a GSM 1800 system, where 1.8 GHz RF frequency output (RFOUT) is required, a 13 MHz reference frequency input (REFIN) is available, and a 200 kHz channel resolution (fRES) is required, on the RF output. MOD = REFIN/fRES MOD = 13 MHz/200 kHz = 65 From Equation 4 FPFD = [13 MHz × (1 + 0)/1] = 13 MHz (5) 1.8 GHz = 13 MHz × (INT + FRAC/65) (6) where INT = 138; FRAC = 30. MODULUS The choice of modulus (MOD) depends on the reference signal (REFIN) available and the channel resolution (fRES) required at the RF output. For example, a GSM system with 13 MHz REFIN sets the modulus to 65. This means that the RF output resolution (fRES) is the 200 kHz (13 MHz/65) necessary for GSM. With dither off, the fractional spur interval depends on the modulus values chosen. See Table 7 for more information. REFERENCE DOUBLER AND REFERENCE DIVIDER The reference doubler on-chip allows the input reference signal to be doubled. This is useful for increasing the PFD comparison frequency. Making the PFD frequency higher improves the noise performance of the system. Doubling the PFD frequency usually improves noise performance by 3 dB. It is important to note that the PFD cannot be operated above 32 MHz due to a limitation in the speed of the Σ-Δ circuit of the N-divider. The reference divide-by-2 divides the reference signal by 2, resulting in a 50% duty cycle PFD frequency. This is necessary for the correct operation of the cycle slip reduction (CSR) function. See the Cycle Slip Reduction for Faster Lock Times section for more information. 12-BIT PROGRAMMABLE MODULUS Unlike most other fractional-N PLLs, the ADF4156 allows the user to program the modulus over a 12-bit range. This means that the user can set up the part in many different configurations for the application, when combined with the reference doubler and the 5-bit R counter. The following is an example of an application that requires 1.75 GHz RF and 200 kHz channel step resolution. The system has a 13 MHz reference signal. One possible setup is feeding the 13 MHz directly to the PFD and programming the modulus to divide by 65. This results in the required 200 kHz resolution. Another possible setup is using the reference doubler to create 26 MHz from the 13 MHz input signal. This 26 MHz is then fed into the PFD programming the modulus to divide by 130. This also results in 200 kHz resolution and offers superior phase noise performance over the previous setup. The programmable modulus is also very useful for multi- standard applications. If a dual-mode phone requires PDC and GSM 1800 standards, the programmable modulus is a great benefit. PDC requires 25 kHz channel step resolution, whereas GSM 1800 requires 200 kHz channel step resolution. A 13 MHz reference signal can be fed directly to the PFD and the modulus can be programmed to 520 when in PDC mode (13 MHz/520 = 25 kHz). The modulus needs to be reprogrammed to 65 for GSM 1800 operation (13 MHz/65 = 200 kHz). It is important that the PFD frequency remains constant (13 MHz). This allows the user to design one loop filter that can be used in both setups without running into stability issues. It is the ratio of the RF frequency to the PFD frequency that affects the loop design. By keeping this relationship constant, the same loop filter can be used in both applications. CYCLE SLIP REDUCTION FOR FASTER LOCK TIMES As mentioned in the Noise and Spur Mode section, the ADF4156 can be optimized for noise performance. However, in fast-locking applications, the loop bandwidth needs to be wide, and therefore, the filter does not provide much attenuation of the spurs. The cycle slip reduction function on the ADF4156 can be used to get around this issue. Using cycle slip reduction, the loop bandwidth can be kept narrow to attenuate spurs and still obtain fast lock times. |
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