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The first design example demonstrates the capability of CMOS in passive FET ring topologies for high-frequency downconverters. 20 The FET ring as discussed in the previous section may be driven with the RF on the drain of the MOSFETs, or with the RF on the gates. The use of the gate drive for RF is a critical design aspect that focuses on linearity and power efficiency for the passive ring topology. The circuit schematic is shown in Figure 9.31. The MOSFETs are biased strongly in the linear regime with a large VGS - V, to assure a small RON for a small input MOSFET that maintains good frequency response and large input bandwidth. The linearity of the MOSFET ring does not depend on the voltage-to-current conversion characteristic of the transistors. Linearity is simply a function of the speed of the FETs as pass transistors and any spurious signals generated during their switching. The specific dc bias must maintain the MOSFETs in the triode region, meaning that the minimum dc bias on the RF ports must be at least V, above the largest possible source voltage to keep their channels strongly inverted and out of cutoff, and the drainsource voltage must be kept lower than the smallest VGs - Vt to keep the MOSFETs from saturating. The voltage-range limitations of the design are defined according to the following

If (6.20) is satisfied, the output signal contains no aliasing, but amplitude distortions may be present. If both (6.19) and (6.20) are satisfied, the amplitude distortions also vanish. Critically subsampled filter banks that allow perfect reconstruction are also known as biorthogonal filter banks. Several methods for satisfying these conditions either exactly or approximately can be found in the literature. The following sections give a brief overview.

[3] A. Albert. Regression and the Moore-Penrose Pseudoinverse. Academic Press, New York, 1972.

Run a DBCC CheckDB every day and after any hardware malfunction. If an error is detected, run the Repair_Rebuild repair mode to attempt to repair the database before using the Repair_allow_data_loss option to perform a full data-page repair. This is not the best option for very large databases (VLDBs) with high-availability needs. In this case, you may want to schedule a check weekly during low points in usage.

The process of validating certi cates entails having all users of certi cates obtain access to the issuing server s certi cate (which is essentially access to its public key). This is also true for intermediate and issuing CAs. This is done by issuing the certi cate of the CA and publishing it to a contactable URL on the network. You can publish the certi cate to a Web site, to a le share, and to Active Directory. If the certi cate of an issuing CA cannot be reached, then an application that relies on the certi cate should follow protocol and reject further processing. However, some applications leave the onus to continue with the use of the certi cate to the user. Under medium to high security conditions, the application will fail. Thus, it is critical that Windows can verify the issuance of the certi cate by being able to walk the certi cate chain from the issued certi cate to the issuer s certi cate.

We note furthermore that I ( F ) is a convex function of F. This follows at once from the remark that $ dF and J qj2 dF are linear functions of F , and from the following lemma.

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