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To illustrate the numerical performance of the subspace algorithm, we consider the case of a channel model given by Equation (2.1), assuming L 70 propagation paths with Md 8 dominant paths (containing 85% of the total power), as illustrated in Figure 2.2(a). We assumed that a symbol is made up of a sequence of 127 coded impulses, periodically transmitted over multiple cycles, and that pulse-amplitude modulation with a pseudo-random sequence of length 127 is used at the transmitter. Since we are considering discrete time signals, time is expressed in terms of samples, where one sample corresponds to the period of Nyquist-rate sampling. In Figure 2.2(b), we show the RMSE of delay estimation for the dominant components vs SNR. We used the approach presented in Section 2.2.5, where the parameter d is chosen to be d 30. The method yields highly accurate estimates for a wide range of SNRs. For example, when the sampling rate Ns is one-quarter of the Nyquist rate Nn, and SNR 5dB, the delay of the dominant components can be estimated with an RMSE of approximately 1 sample. The effects of quantization on the estimation performance are shown in Figure 2.2(c). In particular, we considered 4 7 bit architectures and for each case we plotted the RMSE vs received SNR. The results are also compared to the ideal case when nb 32 bits are used for quantization. Clearly, as the number of bits increases, the overall performance improves. Generally, the 5-bit architecture already yields a very good performance. Also note that when nb ! 5 and the value of SNR is low (e.g., SNR , 0 dB), quantization has almost no impact on the estimation

The stack pointer is stored in EDX, and the CPU executes SYSENTER. SYSENTER is the instruction in Intel Pentium II processors and above that results in a fast transition to kernel mode. Its equivalent on AMD processors is SYSCALL, present since the K7 family. Prior to the development of SYSENTER and SYSCALL, the operating system transitioned to kernel via raising software interrupt 0x2E. This is still the mechanism that Windows 2000 uses regardless of processor support for the faster instructions. Once SYSENTER is executed, control switches to the value specified by the model specific register (MSR) SYSENTER_EIP_MSR. MSRs are configuration registers used by the operating system. They are read and set via the RDMSR and WRMSR instructions, respectively; these are privileged instructions and can therefore only be executed from ring zero. The SYSENTER_EIP_MSR (0x176) is set to point to the KiFastCallEntry function in Windows XP and above.

Though it is relatively uncommon to see the use of uninitialized variables, these vulnerabilities do surface once in a while and can lead to real exploitable conditions in applications. Static memory such as that in the .data or .bss section of an executable is initialized to null on program startup. You have no such guarantee for stack or heap variables, and they must be explicitly initialized before they are read from to ensure consistent program execution. If a variable is uninitialized, its contents are, by definition, undefined. However, it is possible to predict exactly what data an uninitialized memory region will contain. For example, a local stack variable that it uninitialized will contain data from previous function calls. It may contain argument data, saved registers, or local variables from previous function calls, depending on its location on the stack. If an attacker is lucky enough to control the right portion of memory, they can often exploit these types of vulnerabilities. Uninitialized variable vulnerabilities are rare because they can lead to immediate program crashes. They are most often found in code that is not commonly exercised, such as code blocks rarely triggered because of uncommon error conditions. Many compilers will attempt to detect the use of uninitialized variables. Microsoft Visual C++ has some logic for detecting this type of condition, and gcc makes a good attempt at locating these issues also, but neither does a perfect job; therefore, the onus is on the developer not to make these sorts of errors. The following hypothetical example shows an overly simplified case of the use of an uninitialized variable: