Consider a random variable X which is zero mean Gaussian distributed with unit variance o =...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider a random variable X which is zero mean Gaussian distributed with unit variance o² = 1. Suppose X is applied to the uniform quantization with the output Y shown below in Figure 1. [PYP AY2021-22] a. b. C. Y (volts) Output +3 -2 +1 -1 X (volts) Input Figure 1 Evaluate and sketch the probability density function (PDF) of the output Y. Determine the mean and variance of the output Y. Design a suitable symbol mapping for the source encoder above. If a source message m(t) is applied to this input quantizer in Figure 1. If it is sent PCM transmission with available bit rate 50 x 106 bits per sec (bps), determine the maximum message bandwidth W Hz for the system to work satisfactory. A binary channel with the bit rate R = 36000 bits per second (bps) is available for PCM audio transmission. Find the appropriable values of the sampling rate fs, the uniform quantization level L, and the binary digits n, assuming the maximum frequency contents of the source message is fM= 3.2 kHz. Calculate the peak Signal-to-quantization Noise Ratio (SNR) for uniform quantization in terms of dB units. Explain the modification required for SNR, when the average power of sinusoidal tone signal is used instead and evaluate this value. Consider a random variable X which is zero mean Gaussian distributed with unit variance o² = 1. Suppose X is applied to the uniform quantization with the output Y shown below in Figure 1. [PYP AY2021-22] a. b. C. Y (volts) Output +3 -2 +1 -1 X (volts) Input Figure 1 Evaluate and sketch the probability density function (PDF) of the output Y. Determine the mean and variance of the output Y. Design a suitable symbol mapping for the source encoder above. If a source message m(t) is applied to this input quantizer in Figure 1. If it is sent PCM transmission with available bit rate 50 x 106 bits per sec (bps), determine the maximum message bandwidth W Hz for the system to work satisfactory. A binary channel with the bit rate R = 36000 bits per second (bps) is available for PCM audio transmission. Find the appropriable values of the sampling rate fs, the uniform quantization level L, and the binary digits n, assuming the maximum frequency contents of the source message is fM= 3.2 kHz. Calculate the peak Signal-to-quantization Noise Ratio (SNR) for uniform quantization in terms of dB units. Explain the modification required for SNR, when the average power of sinusoidal tone signal is used instead and evaluate this value.
Expert Answer:
Answer rating: 100% (QA)
To address the first images questions a The probability density function PDF of the output Y can be evaluated based on the uniform quantization shown in the figure Since the input X is a Gaussian dist... View the full answer
Related Book For
An Introduction to the Mathematics of Financial Derivatives
ISBN: 978-0123846822
3rd edition
Authors: Ali Hirsa, Salih N. Neftci
Posted Date:
Students also viewed these accounting questions
-
Consider the density function of a random variable X defined by (a) Find the CDF corresponding to this density function. (Be sure you describe it completely.) (b) Calculate the mean and variance. (c)...
-
The probability density function of a random variable X is given by (a) Find c. (b) Find the distribution function F(x). (c) Compute P (1 cx, 0
-
Mean variance and standard deviation: A random variable X has the following probability distributions a. Find the mean of X. b. Find the variance of X. c. Find the standard deviation of X. r 6 78 9...
-
Which subject does Corporate social responsibility belong to?
-
Set up a spreadsheet to solve Problem 1. In Problem 1, A construction company is negotiating on a construction project with a six-month duration. On the last day of each month the construction...
-
Air Yukon received a shipment of plastic trays on September 2. The invoice amounting to $25 630 was dated August 15, terms 2/10, n/30 R.O.G. What is the last day for taking the cash discount and how...
-
Should accountants establish themselves as a community of experts on ecological accounting and reporting issues?
-
Assume that Posies Unlimited does a regression analysis on the next years data using Excel. The output generated by Excel is as follows: Requirements 1. Determine the firms cost equation (use the...
-
4. Record the journal entry that results from the source document shown below on the fourth worksheet tab (labelled "Question IV"). 3783 Desig. No. Account 0265 082475-32 YOUR ACCOUNT HAS BEEN...
-
Pulsar Optics produces medical lasers for use in hospitals. The accounts and their balances appear in the ledger of Pulsar Optics on April 30 of the current year as follows: Preferred 1% Stock, $120...
-
There are two consolidation entries in Chapter 2 that added together bring the equity investment account to zero. What are the letters from our pneumonic (CEADI) that represent these two entries?
-
Assuming that two pure fluids and their mixture can be described by the van der Waals equation of state, and that for the mixture the van der Waals one-fluid mixing rules apply a. Show that the...
-
Gaseous A absorbs and reacts with B in liquid according to in a packed bed under conditions where At a point in the reactor where p A = 100 Pa and C B = 100 mol/m 3 liquid (a) Calculate the rate of...
-
The latency of the interconnect network plays a large role in the efficiency of message passing systems. How fast does the interconnect need to be in order to obtain any speedup from using the...
-
A stream of reactant A (C A0 = 3, C RO = 0, C CO = 0) is to be decomposed by the following microbial fermentation What is the lowest C A which can be obtained in a single mixed flow reactor of size V...
-
Which statement is the most accurate? a) Our nation provides cradle-to-grave security for our military personnel and their families. b) Because of the relative high pay and benefits provided by the...
-
Quantigration, a rapidly growing networking equipment manufacturer, has been having problems with their equipment returns. Youve been hired to create a database using SQL commands for processing all...
-
3.16. For a system with non-identical service rates (see Sect. 3.5) and a limit of N jobs in the system (Eq. 3.13), obtain an expression for the mean service time per job, E[Ts], as a function of the...
-
Now use this information to show that: sdWs = tW; | W,ds /-
-
In Example 7 find the breakeven spread that is the spread that makes present value of the fixed leg the same of present value of the contingent leg.
-
Consider the random variable: where each Bi is obtained as a result of the toss of a fair coin: We let n = 4 and consider X4. (a) Calculate the E[X4| I1] ,E[X4| I2] , E[X4| I4]. (b) Let Zi = E[X4|...
-
A computer chip is essentially a series of micro-sized transistors that function as tiny switches to control the flow of electrons. Millions, sometimes billions, of transistors are packed into chips...
-
Raul Suarez is the factory manager for Tallis Manufacturing, which manufactures metal propellers for small boats. The factory uses hot plastic and metal work in the production process, so the factory...
-
Look at Figure 26.1. For either the UK or the EU: a. Estimate the amplitude of the deviations from trend over the period shown. b. Estimate the length of time between the beginning of the deviation...
Study smarter with the SolutionInn App