This paper introduces a simple variable gain amplifier (VGA) structure that shows an inherently dB-linear gain control property. Requiring no additional components for dB-linear control, the structure is compact and power efficient. The designed two-stage VGA shows a gain control range of 60dB with the gain error in the range of ±0.4 dB. The power consumption including the output buffer is 20.4...

The unique solvability of parabolic equations in Sobolev spaces with mixed norms is presented. The second order coefficients (except a) are assumed to be only measurable in time and one spatial variable, and VMO in the other spatial variables. The coefficient a is measurable in one spatial variable and VMO in the other variables.

The performance of optimising compilers crucially depends on the availability of controlflow information at compile time. For any first-order imperative program, such information is available via a flowchart constructed from the program text. Consequently, traditional dataflow analyses can be used to perform a series of compile-time program optimisations (Aho et al. 1986). For higher-order prog...