SCHOOL OF ELECTRICAL ENGINEERING
UNIVERSITY OF THE WITWATERSRAND, JOHANNESBURG
ELEN 3007: PROBABILISTIC SYSTEM ANALYSIS
STOCHASTIC PROCESSES ASSIGNMENT
BAKHEKILE NDLOVU, 717143
18 SEPTEMBER 2015
Introduction
Probability, random variables and random processes have applications in a wide range of fields. One application of probability theory is in the stock market where investors take advantage of the random fluctuations to maximize their benefits. These random fluctuations can be described using probabilistic theory [1]. Another discipline that makes use of probability is the insurance business. Car insurance premiums are calculated based on the probability and inherent risks of drivers of a certain class that are most likely to cause accidents.
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Research is being conducted mainly in the field of computer recognition of speech. The aim is to recognize commands spoken to a computer by making use of a procedure known as template matching. A discrete set of words are defined for the computer vocabulary. The template of the word is then created as the word is spoken. The template may be stored as a time waveform, spectrum of the word or a vector of features of the word [3].
Speech recognition by computers is a challenging task due to the factors that need to be considered. These include interference from the background, speaker’s pronunciation and pitch, the duration of the spoken word and variability of amplitude, just to mention a few. The application of stochastic processes and probability theory then become essential in developing models for speech production and recognition [3]. These models may be used to design systems for speech recognition. From speech recognition, a computer can be used to predict the speech of a user. This is done by predicting the future values of a waveform using current and previous samples. This is used mainly in speech coders where the signal-to-qauntization noise associated with the quantizer can be increased by quantizing the prediction error. The figure below illustrates the block diagram of a speech coder using differential pulse code
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This variable represents the samples of each speech waveform. These inputs go through the predictor which is tasked to best estimate Xn given that the past samples are known. This process is achieved using linear prediction, causing the predictor to output linear combinations of the samples. Assuming that the predictor uses the last m samples to determine its estimates, it would have the output as shown in equation 1.
Y_n=∑_(i=1)^m▒〖a_i X_(n-i) 〗 (1)
The constants ai are selected to optimize the performance of the predictor. The difference between Xn and Yn result in the quantity Zn which is known as the predictor error and should be kept as low as possible. Zn is passed through the level 2b quantizer where each level is encoded with a b bit code word [3]. The original samples can be recovered from the binary representation from the quantizer inputs
1.1. Creating objects & Right side panel – brief This panel is the main medium that is used to create ( ) objects, I can also modify ( ) and edit objects as well in addition I can alter different aspects in 3ds max as well. I could also alter the pivot point (gismo) and decide where it origin point is.
We are following it closely. The Connector insert cavity dimensional nonconformance which violates Mil-Standard interchangeability requirements. Part numbers GHN20076-447, GHN20076-452 and GHN20076-523; total quantity of 557 shipped between, 4/2015 to 8/2015. That were made Nogales, Mexico. It was also reveal from C-130 Design acknowledging that a total of 15 out of the potential 17 D38999 part numbers are used on C-130 builds.
1. Computer a program to write a function power() to raise a number m to a power n. The function power() will take a float value for m and n will be an integer value. a default value of 2 to be used to make the function for calculating the squares in case this argument is omitted. The main function has to be written that takes the value for both m and n as input from the user for testing this function.
line from x = y to y = x. Mathematically, x = y and y = x mean the same thing. How- ever, this is not so in programming. Run the second program.
I used the guide to do the initial setup for each phone. I was able to achieve full connectivity using Free PBX and asterisk 13. For asterisk 13 there is an option to use PJSIP extensions over CHANSIP extensions. I chose to use PJSIP over CHANSIP is because PJ has a smaller connection and is overall more reliable than CHAN in asterisk 13. I learned that from trial and error with some troubleshooting in-between.
1) The data provided in this exercise are confounding. We do not know the variables (is it color, weight...?). Hence, we cannot calculate an average due to incomplete information. If the variable was colors, I would code them as factors. If the variable was weights, I would code them as a numeric value.
The data I will be collecting is from a primary source as the groups of Year 7’s and Year 10’s will be completing the practical where they will see how quick they can find the same five words in the three languages. It will also be discrete even though time is continuous so the results will be clearer. The data will then be recorded onto a table and after, put together on a data sheet using excel. I am using a sample as it makes the investigation fair and also means a range of unbiased results are created from it.
*Q2 part a clear set obs 20 forvalues i=1/50 { set seed `i' gen Fx`i'=uniform() gen x`i'=-4*log(1-Fx`i') } set obs 50 forvalues i=1/50 { egen meana`i'=mean(x`i') } gen meana=. forvalues i=1/50 { replace meana=meana`i' in `i' } *Q2 part b hist meana set obs 50 forvalues i=1/50 { set seed `i' gen Fy`i'=uniform() gen y`i'=-4*log(1-Fy`i') egen meanb`i'=mean(y`i') } gen meanb=. forvalues i=1/50 { replace meanb=meanb`i' in `i' } hist meana, start(2) width(0.5) hist meanb, start(2) width(0.5) * Q2 part c *Note that the mean and standard deviation for this case would be 4 gen LHSA=4-(4/(20^.5)) gen RHSA=4+(4/(20^.5)) gen LHSB=4-(4/(50^.5))
Thanks Justin & Devon, Devon, I am able to pull data into PI and I have verified it with our S1 and S3 data records. The trick is to adjust the time range from the special function button in the PI instead of manually adjusting the date and data time range which is slow and makes PI unresponsive for few minutes. Regards, Nakul
Jose, Please verify with Ms. Ana amount of returning children that are not having VPK certificate. We going to have 6 VPK classrooms during fall. Ms Sepulveda is willing to help us to contact families and to help them with the process. Please provide Report 2110 Master list of participants (Filter List 2015-16 Accepted).
Works Cited Broida, Rick. “Does it still make sense to build your own computer?” C Net. C Net, 13 May 2013. Web.
Reading this question, I experienced a high level of mathematics anxiety, I realised I could solve this question however I hesitated. I was contemplating ‘how I was going to communicate and explain my thinking?’ Initially to solve this question I utilised ‘the order of operations’, this is a knowledge I previously developed and indicates ‘multiplication and division are always completed before addition and subtraction’ in mathematics. I referred to a text book to extend my understanding, and according to Van de Walle (2010), ‘the power of two’ is an exponent which in this question is merely a shorthand interpretation for repeated multiplication of a number, times by itself.
Forums: I have used the forums and looked around it a lot. I know how to navigate through the server 's forums and find and help out players on here. Also, the forum is a place where staff and players are able to interact with each other and communicate. It connects the players and knowing how to navigate and being able to help out on the forums is a big part of being a staff member. The forums is also a source of helping out players.
Good Evening Ms. Seed, I am working on the 2.03 assignment. I am having some difficulties and was wondering if you would be able to help me. I choose the Federalist side and only have my introduction completed. I am having some difficulties explaining the two sides. If yuo could please help me so that I could move on with the rest of the needed compleed assignements.
Over the course of the past two semesters I have been studying under Paul Johnston in an effort to better my skills as a recording engineer, mixing engineer and producer. From the beginning, I didn’t have a clear outcome for what I had hoped to accomplish by the end of the course. This was the source of some problems for me because there were some moments where I felt like I was flying blind. Starting down a path with no clear end is difficult after all. I didn’t have a set goal for myself other than learning all I could from Paul, which is a broad goal.