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ADL5960ACCZ-R7 数据表(PDF) 21 Page - Analog Devices |
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ADL5960ACCZ-R7 数据表(HTML) 21 Page - Analog Devices |
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21 / 32 page ![]() Data Sheet ADL5960 THEORY OF OPERATION analog.com Rev. A | 21 of 32 b2a2=T23T31T01−1b0a0=TMb0a0 (12) where: T31 represents the transmission matrix of the DUT itself (the quanti- ty to be measured). TM the transmission matrix measured by the VNA. The error corrected transmission matrix can then be expressed as follows: TCORRECTED=T23−1TMT01 (13) Many different calibration techniques are available to determine the transmission matrices, T01 and T23. One of the simplest yet effective methods is the SOLT calibration, in which a one-port calibration that is applied to each port, followed by measurement of a thru connection (short between Port 1 and Port 3). Multiport Calibration Calibration of VNAs consisting of more than two ports can be performed along similar procedures as the two-port calibration discussed in Two-Port Calibration. The number of error coefficients to be determined grows quadratically as 4n2, where n is the number of ports. However, when interactions between the VNA ports can be neglected only the coefficients on the block diagonal of the error model need to be taken into account, resulting in 4n remaining coefficients. A practical problem arising with multiport calibration is that cali- bration standards are usually either one-port (loads) or two-port, whereas the calibration procedure, in principle, requires the meas- ured n×n S-matrix and an n×n S-matrix for the actual standard S-parameters. This problem can be addressed by constructing the n-port S-matrix from a series of two-port measurements. Equation 14 illustrates the concept for a four-port system. S= m 12 m12m13m14 m12m12m23m24 m13m23m13m34 m14m24m34m14 (14) where mxy indicate from which two-port measurement the corre- sponding S-parameter is determined. For example, a two-port measurement using Port 1 and Port 2, indicated by m12, can be used to determine s11, s12, s21, and s22. Measurements on different combinations of two ports are needed to fill the entire S-matrix. Some parameters are determined multiple times (like s11) and can be disregarded in all but one measurement. In general, the full set of n2 S-parameters can be determined with n(n − 1)/2 two-port measurement sessions. When the SOLT calibration method is applied to an n-port VNA, for example, it requires measurement of three loads on each port, followed by a thru standard measurement between all combinations of two ports. The total number of measurement runs required for this is 3n + n(n − 1)/2 = n(n + 5)/2 (15) Rejection of IF Spurious Tones Besides the desired output signal, a variety of other spurious tones and mixing products are generally present in the IF output signal spectrum. Some of these undesired tones appear at the same frequency as the desired IF signal, and therewith reduce the measurement accuracy. The techniques described in this section can be used to reduce the impact of such undesired tones and enhance the measurement accuracy. The LO interface configurations that use the OF interface are most vulnerable to IF spurious tones. Harmonics, sub-harmonics, mixing products between the LO and OF, and partially suppressed image frequencies contribute to spurious tones in the IF output spectrum. The impact of spurious tones is most pronounced when the DUT at the RFOUT port is well matched, such that the desired signal in the reverse IF output channel is very small. Figure 58 illustrates the impact of spurious tones at the IF frequency, comparing a return loss measurement result corrected for IF spurious tones and a raw, uncorrected result. As apparent from this figure, spurious tones introduce ripple vs. frequency in the measurement result, and reduce the measurement sensitivity, particularly at frequencies below 5GHz. Figure 58. Return Loss Measurement of a 50 Ω Load, With and Without Correction of IF Spurious Tones The following simple procedure can significantly reduce the ripple due to spurious tones: 1. Measure the IF output signal with RF present. 2. Calculate the complex fast Fourier transform (FFT) frequency component at the IF output frequency. 3. Measure the IF output signal with the RF signal off, or set to a very low level. |
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