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Mathematics and probability for communication engineers

Many good textbooks exist on probability and random processes written at the under- graduate level to the research level. However, there is no one handy and ready book that explains most of the essential topics, such as random variables and most of their frequently used discrete and continuous proba ...

同步技术是跳频通信系统的关键技术之一，尤其是在快速跳频通信系统中，常规跳频通信通过同步字头携带相关码的方法来实现同步，但对于快跳频来说，由于是一跳或者多跳传输一个调制符号，难以携带相关码。对此引入双跳频图案方法，提出了一种适用于快速跳频通信系统的同步方案。采用短码携带同步信息，克服了快速跳频难以携带 ...

bayeserr - Computes the Bayesian risk for optimal classifier. ％ bayescln - Classifier based on Bayes decision rule for Gaussians. ％ bayesnd - Discrim. function, dichotomy, max aposteriori probability. ％ bhattach - Bhattacharya s upper limit of mean class. error. ％ pbayescln - Plots discriminat f ...

HMM(Hidden Markov Model)，狀態數目N=3，觀察符號數目M=2，時間長度T=3。 (a) Probability Evaluation: 給定狀態轉換機率A、狀態符號觀察機率B、和起始機率 ，求觀察序列 出現的機率。 (b) Optimal State Sequence: 給定狀態轉換機率A、狀態符號觀察機率B、起始機率 、和觀察序列 ，求一個狀態序列 使得O出現的機率最大。 ...

We address the problem of blind carrier frequency-offset (CFO) estimation in quadrature amplitude modulation, phase-shift keying, and pulse amplitude modulation communications systems.We study the performance of a standard CFO estimate, which consists of first raising the received signal to the Mth ...

We present a particle filter construction for a system that exhibits time-scale separation. The separation of time-scales allows two simplifications that we exploit: i) The use of the averaging principle for the dimensional reduction of the system needed to solve for each particle and ii) the factor ...

The algorm of viterbi. You talk to your friend three days in a row and discover that on the first day he went for a walk, on the second day he went shopping, and on the third day he cleaned his apartment. You have two questions: What is the overall probability of this sequence of observations? And w ...

This project aim was to build wireless software modem for data communication between two computers using an acoustic interface in the voice frequency range (20Hz– 20,000Hz). The transmitting antenna is a speaker (frequency response of: 90Hz – 20,000Hz) and the receiving antenna is a microphone (fr ...

GloptiPoly 3: moments, optimization and semidefinite programming. Gloptipoly 3 is intended to solve, or at least approximate, the Generalized Problem of Moments (GPM), an infinite-dimensional optimization problem which can be viewed as an extension of the classical problem of moments [8]. From a th ...